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CV of Dambaru D Bhatta

Name and Office Location:

Dambaru D Bhatta The University of Texas – Rio Grande Valley Email: dambaru.bhatta@utrgv.edu School of Math & Stat Sc., MAGC 3.418 Phone: 956-665-3534

1201 W University Drive, Edinburg, TX 78539

Education: Ph. D., Dalhousie University, Halifax, Canada, Applied Mathematics, 1995.

M. Sc., University of Delhi, India, Mathematics, 1983.

B. Sc., Cotton College, Gauhati University, India, Mathematics, 1981.

Areas of Research Interest: Applied Mathematics, Computational Mathematics, Solidification, Porous Media, Fluid Flow, Heat & Mass

Transfer, Wave-structure Interactions, and Numerical Solutions of Differential Equations.

Employment: Professor of Mathematics, The University of Texas- Rio Grande Valley (Sept, 2015 -- ).

Professor of Mathematics, Asst. Chair, The University of Texas-Pan American (2014 -- Aug,2015).

Associate Professor of Mathematics, The University of Texas-Pan American (2008 -- 2014).

Assistant Professor of Mathematics, The University of Texas-Pan American (2004 -- 2008).

Assistant Professor of Mathematics, Louisiana State University, Alexandria (2003 -- 2004).

Lecturer in Mathematics, The University of Texas-Pan American (2002 -- 2003).

Enterprise Profit Optimization Software Developer at Manugistics, Atlanta (1998 -- 2002).

Software Development at System House in Ottawa, Canada (1997 -- 1998).

Image Processing work at Park Medical Systems Inc, Montreal, Canada (1996 -- 1997).

Post-Doctoral at Dalhousie University (TUNS), Halifax, Canada (1995 -- 1996).

Senior Mathematician, Oil & Natural Gas Commission, Dehradun, India (1986 -- 1991).

Certificates Obtained:

▪ Sun Certified Programmer for Java 2 Platform (SCJP2), 2001.

▪ Object Oriented Programming with Java, Georgia Institute of Technology, College of

Computing, Continuing Education, Atlanta, GA, October 1999.

Books Published:

1. (Senior Undergraduate and Graduate Level):

Published in 2015 by CRC Press, Taylor and Francis Group. Co-author of the book entitled “Integral

Transforms and Their Applications” containing 19 chapters with 792 pages (with Prof. L. Debnath).

2. Book entitled “Trigonometry with Applications” containing five chapters was published by Asian Books

Ltd, 2013.

3. Co-authored a book entitled “Integral Transforms and Their Applications”. It was published by Chapman

& Hall/CRC in 2006. This book contains 19 chapters with 700 pages. This is a textbook for higher level

undergraduate and lower level graduate.

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Book Chapter Published (Research)

1. “Nonlinear Evolution Analysis for Flow during Alloy Crystallization” for the book “Focus on

Nonlinear Analysis Research”, Mathematics Research Development Series, Nova Publications.

(Co-author DN Riahi), (2013), ISBN: 978-1-62417-350-9.

2. “Second-order loading on a pair of vertical cylinders” for the book “Ocean Waves Engineering,

International Series on Advances in Fluid Mechanics”, Computational Mechanics Publications,

(Co-author M Rahman), (1994), 135-163.

Research Publications:

1. Munguia, M and Bhatta D, Use of Cubic B-Spline in Approximating Solutions of Boundary Value

Problems, Applications and Applied Mathematics, 10 (2), December (2015).

2. Bhatta D, Riahi DN, Amplitude Equation for a Nonlinear Three Dimensional Convective Flow in a

Mushy Layer, Proceedings of Mathematics and Statistics: Mathematics and Computing (ICMC 2015).

Springer, (2015), 399-410.

3. Rahman M, Bhatta D, The Maximum Velocity of a Falling Body, International Journal of Applied

Mathematics and Engineering Sciences, 9(1), (2015), 21-31.

4. Montez, D and Bhatta D, Flow in a closed rectangular cavity with a moving lid and a dent at the

bottom, International Journal of Mathematics and Computation, 26 (1), (2015), 1-13.

5. Munguia, M and Bhatta D, Cubic B-Spline Functions and Their Usage in Interpolation, International

Journal of Applied Mathematics and Statistics, 52 (8), (2014), 1-19.

6. Rahman M, Bhatta D, Mathematical modeling of Eulerian currents induced by wind and waves at

the sea surface, AFM-2014, 10th International conference on Advances in Fluid Mechanics, A

Coruna, Spain, July 1– 3, (2014), 349-360.

7. Bhatta D, Numerical investigation of weakly nonlinear solutions for a hydro-thermal convective

flow in an aquifer system, International Journal of Mathematics and Computation, 23, 2, (2014), 90-

103.

8. Bhatta D, Fractional Derivatives: Computations and Applications in Differential Equations, Journal

of Assam Academy of Mathematics, 6, (2014), pp. 1-15.

9. Bhatta D, Numerical investigation of the effects of two dimensional convective flow parameters on

the marginal stability, Mathematical Sciences International Research Journal, 2(2), (2013), 404-407.

10. Bhatta D, Hydro-thermal convective solutions for an aquifer system heated from below,

Applications and Applied Mathematics, 8(1), (2013), 1-15.

11. Rahman M, Bhatta D, Methods of integral transforms as compared to the method of separation of

variables, International Journal of Applied Mathematics and Engineering Sciences, 7(2), (2013),

177-198.

12. Bhatta D, Fractional ordinary differential equations with real constant coefficients, International

Journal of Applied Mathematics and Engineering Sciences, 7, 1 (2013), 1-8.

13. Bhatta D, Riahi DN, Nonlinear Evolution Analysis for Flow during Alloy Crystallization, Focus on

Nonlinear Analysis Research, Nova Publications, (2013) Book Chapter, 163-200.

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14. Bhatta D, Muddamallappa MS, Riahi DN, Magnetic and permeability effects on a weakly nonlinear

magneto-convective flow in an active mushy layer, International Journal of Fluid Mechanics

Research, 39(6), (2012), 494-520.

15. Bhatta D, Riahi DN, Nonlinear evolution equation for a magneto-convective flow in a passive mushy

layer, International Journal of Evolution Equations, 6 (2), (2012), 89-113.

16. Bhatta D, Riahi DN, Muddamallappa MS, On nonlinear evolution of convective flow in an active

mushy layer, Journal of Engineering Mathematics, 74, (2012), 73-89.

17. Rahman M, Mousavizadegan SH, Bhatta D, Nonlinear diffraction of water waves: A classical

perturbation method, Conference Proceedings AFM 9th International Conference on Advances in

Fluid Mechanics, 26-28 June 2012.

18. Bhatta D, Riahi DN, Muddamallappa MS, Inertial effect on convective flow in a passive mushy

layer, Journal of Applied Mathematics and Informatics, 30 (2012), No 3-4, 499-510.

19. Bhatta D, Computations of hydrodynamic coefficients, displacement-amplitude ratios and forces for

a floating cylinder due to wave diffraction and radiation, International Journal of Non-Linear

Mechanics, 46(8), (2011), 1027-1041.

20. Bhatta D, Das SN, Riahi DN, On temporal instability of electrically forced axisymmetric jets with

variable applied field and nonzero basic state velocity, Applications and Applied Mathematics, 6(11),

(2011), 1767-1780.

21. Bhatta D, Riahi DN, Adjoint system for a magneto-convective flow in an active mushy layer, Journal

of Applied Mathematics and Informatics, 29, (2011), No 5-6, 1269-1283.

22. Das SN, Bhatta D, Riahi DN, Effect of non-zero basic state velocity on spatial instability of an

electrically forced axisymmetric jet, International Journal of Applied Mathematics and Applications,

3(1), (2011), 49-61.

23. Bhatta D, Riahi DN, Muddamallappa MS, On weakly nonlinear evolution of convective flow in a

passive mushy layer, Nonlinear Analysis: Real World Applications, 11(5), (2010), 4010-4020.

24. Bhatta D, Muddamallappa MS, Riahi DN, On perturbation and marginal stability analysis of

magneto-convection in active mushy layer, Transport in Porous Media, (with Mallikarjunaiah S.

Muddamallappa and Daniel N. Riahi), 82(2), (2010), 385-399.

25. Muddamallappa MS, Bhatta D, Riahi DN, Linear stability analysis of convective flow in a mushy

layer with non-uniform magnetic field and permeable mush-liquid interface, Journal of Porous

Media, 13(10), (2010), 925-929.

26. Carrasquero NJ, Riahi DN, Bhatta D, Numerical study of marginal stability of a rotating flow with

application to flow around growing protein crystal, International Journal of Mathematical Modeling,

Simulation and Applications, 2(1), (2010), 39-53.

27. Muddamallappa MS, Bhatta D, Riahi DN, Numerical investigation on marginal stability and

convection with and without magnetic field in a mushy layer, Transport in Porous Media, 79(2),

(2009), 301-317.

28. Carrasquero NJ, Riahi DN, Bhatta D, On marginal stability computation of flow in a rotating

cylindrical annulus and application to protein crystal growth, International Journal of Applied

Mathematics and Statistics, 14(J09), (2009), 68-81.

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29. Bhatta D, Use of modified Bernstein polynomials to solve KdV-Burgers equation numerically,

Applied Mathematics and Computation, 206, (2008), 457-464.

30. Bhatta D, Computation of the dynamic force component on a vertical cylinder due to second order

wave diffraction, Journal of Applied Mathematics and Informatics, 26, (2008), 45-60.

31. Bhatta D, Few fractional order derivatives and their computations, International Journal of

Mathematical Education in Science and Technology, 38, (2007), 449-460.

32. Bhatta D, Computation of added mass and damping coefficients due to a heaving cylinder, Journal

of Applied Mathematics and Computing, 23, (2007), 127-140.

33. Bhatta D, Dispersion relation and wave loads on a vertical cylinder in water due to first order

diffraction, Journal of Mathematical Sciences and Mathematics Education, 2, (2007), 7-21.

34. Bhatta D, Behavior of the integrand appearing in axisymmetric free surface water elevation function,

International Journal of Applied Mathematics and Engineering Sciences, 2, (2007), 183-191.

35. Bhatta D, Debnath L, Two layer transient water waves over a viscoelastic ocean bed, Journal of

Applied Mathematics and Computing, 22, (2006), 133-147.

36. Bhatta D, Bhatti M, Numerical solution of KdV equation using modified Bernstein polynomials,

Applied Mathematics and Computation, 174, (2006), 1255-1268.

37. Bhatta D, Fluid flow around an elliptic cylinder using finite element method, Journal of

Mathematical Sciences and Mathematics Education, 1, (2006), 7-12.

38. Bhatti M, Bhatta D, Numerical solutions of Burgers’ equation in a B-polynomial basis, Physica

Scripta, 73, (2006) 539-544.

39. Bhatta D, Wave diffraction by circular and elliptical cylinders in water of finite depth, International

Journal of Pure and Applied Mathematics, 19, (2005), 69-87.

40. Bhatta D, Nonlinear free surface condition due to second order diffraction by a pair of cylinders,

Journal of Applied Mathematics and Computing, 18, (2005), 171-182.

41. Debnath L, Bhatta D, Solutions to few linear fractional inhomogeneous partial differential equations

in fluid mechanics, Fractional Calculus and Applied Analysis, 7, (2004), 22-36.

42. Bhatta D, and Rahman M, On scattering and radiation problem for a cylinder in water of finite depth,

International Journal of Engineering Science, 41, (2003), 931-967.

43. Bhatta D, Debnath L, Small amplitude wave in shallow water over linear and quadratic beds, Journal

of Applied Mathematics and Computing, 13, (2003), 53-65.

44. Bhatta D, Surge motion on a floating cylinder in water of finite depth, International Journal of

Mathematics and Mathematical Sciences, 57, (2003), 3643-3656.

45. Rahman M, Bhatta D, Hydrodynamic coefficients and motions due to floating structures in waves,

Conference on Computational Mathematics and Experimental Measurements, Capri, Italy, May,

(1995), 395-402.

46. Bhatta D, Rahman M, Wave loadings on a vertical cylinder due to heave motion, International

Journal of Mathematics and Mathematical Sciences, 18, (1995), 151-170.

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47. Rahman M, Bhatta D, Second-order loading on a pair of vertical cylinders, Ocean Waves

Engineering, International Series on Advances in Fluid Mechanics, Computational Mechanics

Publications, (1994), 135-163.

48. Rahman M, Bhatta D, Linear wave diffraction by a pair of cylinders, Journal of Assam Science, 36,

(1994), 77-89.

49. Rahman M, Bhatta D, Evaluation of added mass and damping coefficients of an oscillating circular

cylinder, Applied Mathematical Modelling, 17, (1993), 70-79.

50. Rahman M, Bhatta D, Second order wave forces on a pair of vertical cylinders, Canadian Applied

Mathematics Quarterly, 1(3), (1993), 343-382.

51. Saha JG, Mehta CH, Bhatta D, On the use of instantaneous amplitude in timing the seismic events,

Bulletin of the Seismological Society of America, 82, (1992), 1507-1510.

52. Mehta CH, Goel BS, Bhatta D, Radhakrishnan S, Minimum phase wavelet by ARMA factorization,

IEEE Transactions on Signal Processing, 39, (1991), 512-515.

Report:

Some aspects of the classical theory of the fast Fourier transform algorithm by M. Rahman, D. Riordan,

A. Susilo and D. Bhatta. Dalhousie University Report, Canada, Spring 2011.

Published Lecture Notes:

Integral transforms and their applications, Lecture Notes: Quality Improvement Program Short Term

Course on Mathematical Methods, Modeling and Optimal Control” organized by Department of

Mathematics, Indian Institute of Technology, Guwahati, India, 2009.

Numerical solutions of linear and nonlinear partial differential equations using B-polynomials, Lecture

Notes: Quality Improvement Program Short Term Course on Mathematical Techniques in Science and

Engineering, Department of Mathematics, Indian Institute of Technology, Guwahati, India, June 26-30,

2006.

Short Course/Workshop Delivered at IIT: Delivered lectures on “Integral transforms and their applications” at the workshop “Quality Improvement

Program Short Term Course on Mathematical Methods, Modeling and Optimal Control” organized by

Department of Mathematics, Indian Institute of Technology, Guwahati, June 2-6 2009.

Short Course/Workshop Delivered in Mathematical Association of America (MAA) Section: Delivered a short course on “Fractional Calculus, Theory and Applications” at a workshop organized by Texas

Section of Mathematical Association of America (MAA) in Edinburg, TX during April 12-14, 2007. This

course was offered jointly with Professor Lokenath Debnath and it was attended by 37 faculty and students

from various universities/colleges throughout Texas.

Workshops: Participated several workshops for House-Bill 5 project for CMP-A and CPM-B course during 2014-15.

Co-Organized a workshop on “Differential equations and their applications in physics and engineering"

on Saturday, Nov 8, 2014 at UTPA.

Delivered a presentation on “Interactive Applets used in Differential Equation and Calculus Courses” for

the workshop on “Innovative Classroom Practices in STEM Education”, UTPA, April 21st, 2012.

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Delivered a lecture on Holiday Workshop on Applied Mathematics, UTPA, December 19, 2010.

Delivered lectures on “Integral transforms and their applications” at the workshop “Quality Improvement

Program Short Term Course on Mathematical Methods, Modeling and Optimal Control” organized by

Department of Mathematics, Indian Institute of Technology, Guwahati, June 2-6 2009.

Book Review: Reviewed a book on “Green’s Functions: Theory, Applications, and Computation” for the publisher Taylor

& Francis of Chapman & Hall/CRC in December 2009. Study Abroad Program for College Algebra, 2009:

Faculty-Led Study Abroad Program for Calculus-I and College Algebra was submitted in November, 2009.

College Algebra course was approved by the administration, but it did not make it because of lack of students.

Presentation of Research Work at International/National level (Conference/Colloquium):

Amplitude Equation for a Nonlinear Three Dimensional Convective Flow in a Mushy Layer, at

International Conference on Mathematics & Computing (ICMC), Haldia Institute of Technology,

India, January 5-10, 2015.

Applications of Cubic B-Splines (joint work with M. Munguia), Department of Mathematics, Indian Institute

of Technology (IIT), Guwahati, India, July 1, 2014.

Three dimensional hydro-thermal convective flow in an aquifer system, Joint Meetings of American

Mathematical Society (AMS) and Mathematical Association of America (MAA), Baltimore, MD, January 16,

2014.

Numerical Investigation of a Hydro-thermal Convective Flow in an Aquifer System, International Conference

on Mathematics (ICM/ICMSCE-2013), Organized by International Multidisplinary Research Foundation,

Cochin Palace, Kochi, India, August 9-10, 2013.

Numerical investigation of the effects of two-dimensional convective flow parameters on the marginal

stability, International Conference on Mathematics (ICM/ICMSCE-2013), Organized by International

Multidisplinary Research Foundation, Cochin Palace, Kochi, India, August 9-10, 2013.

Linear and first order solutions for a three dimensional convective flow in a mushy layer, Joint Meetings of

American Mathematical Society (AMS) and Mathematical Association of America (MAA), San Diego, CA,

January 10, 2013.

Nonlinear evolution equation for a three dimensional convective flow in a passive mushy layer, International

Conference on the Theory, Methods and Applications of Nonlinear Equations, Texas A & M, Kingsville, TX,

December 19, 2012.

Nonlinear evolution equation for magneto-convective flow in an active mushy layer, Special Session on

Nonlinear Evolution Equation, 9th AIMS (American Institute of Mathematical Science) Conference on Dynamical

Systems, Differential Equations and Applications, Orlando, FL, July 3, 2012.

Computation of linear and first-order solid fractions for a magneto-convective flow in an active mushy layer,

Joint Meetings of American Mathematical Society (AMS) and Mathematical Association of America (MAA),

Boston, MA, January 4, 2012.

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Permeability effect on marginal stability due to magneto-convective flow in a mushy layer, Joint Meetings of

American Mathematical Society (AMS) and Mathematical Association of America (MAA), New Orleans, LA,

January 6, 2011.

Computation of the Landau coefficients due to convective flow in an active mushy layer, Indian Institute of

Technology (IIT), Guwahati, India, June 8, 2011.

Hydrodynamic forces on an offshore structure, Department of Mathematics, Gauhati University, Guwahati,

India, June 7, 2011.

Nonlinear evolution equation for convective flow in passive mushy layer in presence of magnetic field, NSF-

CBMS Conference in Mathematical Sciences, UTPA, May 18, 2010.

On nonlinear evolution of convective flow in an active mushy layer, Joint Meetings of American Mathematical

Society (AMS) and Mathematical Association of America (MAA), San Francisco, CA, January 14, 2010.

On convective instability and transition to turbulence in a mushy layer, Central Section of American

Mathematical Society (AMS), Baylor University, Waco, TX, October 16-18, 2009.

Computation of buoyant flow in a mushy layer during alloy solidification, Joint Meetings of American

Mathematical Society (AMS) and Mathematical Association of America (MAA), Washington DC,, January 7,

2009.

Delivered lectures on “Integral transforms and their applications” at the workshop “Quality Improvement

Program Short Term Course on Mathematical Methods, Modeling and Optimal Control” organized by

Department of Mathematics, Indian Institute of Technology, Guwahati, June 2-6 2009.

Computation of the wave forces on a floating cylinder due to scattering and radiation due to surge, heave and

pitch, Joint Meetings of American Mathematical Society (AMS) and Mathematical Association of America

(MAA), San Diego, CA, January 6, 2008.

Asymptotic behavior of the integrand for free surface elevation in axisymmetric water wave problem, Joint

Meetings of American Mathematical Society (AMS) and Mathematical Association of America (MAA), New

Orleans, LA, January 5, 2007.

First and second order wave loads on a cylindrical structure due to diffraction, the 5th International Conference

on Differential Equations and Dynamical Systems, University of Texas-Pan American, Edinburg, TX,

December 16-18, 2006.

Wave loads due to diffraction by an elliptic structure, Joint American Mathematical Society (AMS)/

Mathematical Association of America (MAA) Mathematics Meetings, San Antonio, 2006.

Computation of the nonlinear free surface term due to second order diffraction by a pair of cylinders, Indian

Institute of Technology (IIT), Guwahati, India, May, 2006.

Numerical solutions of linear and nonlinear partial differential equations using B-polynomials, Quality

Improvement Program Short Term Course on Mathematical Techniques in Science and Engineering at the

Indian Institute of Technology (IIT), Guwahati, India, June 26-30, 2006.

On transient development of water waves over a viscoelastic ocean bed, Joint American Mathematical Society

(AMS and/ Mathematical Association of America (MAA) Mathematics Meetings, Atlanta, GA, 2005.

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Presentation of Research Work at State/Local level (Conference/Colloquium):

Properties of Bernstein Polynomials and Their Usage, at 95th Texas Section Meeting of MAA (Mathematical

Association of America), San Antonio, TX, April 10, 2015.

Computation of the Vertical Velocity Component for a Three Dimensional Convective Flow in a Mushy Layer,

at Texas Partial Differential Equation Conference, University of Houston, Houston, TX, March 28, 2015. Use of Bernstein Polynomials in Solving Differential and Integral Equations”, Applied Mathematics Seminar,

UTPA, March 13, 2015.

Use of Bernstein Polynomials in Solving Integral Equations and Fractional Differential and Integral Equations,

Workshop on Differential equations and their applications in physics and engineering, November 8, 2014.

Some Properties of Bernstein Polynomials”, at Applied Mathematics Seminar, UTPA, December 4, 2014.

Amplitude Blow-up for a Three Dimensional Hydro-thermal Convective Flow in a Porous Media, Applied

Mathematics Seminar, UTPA, April 24, 2014.

Evolution Equation for a Three Dimensional Hydro-thermal Convective Flow in an Aquifer System, Texas

Partial Differential Equation Conference, University of North Texas, Denton, TX, March 1, 2014.

Landau Type Equation for the Amplitude of a Hydro-thermal Convective Flow in an Aquifer System, Applied

Mathematics Seminar, UTPA, April 3, 2013.

Thermal Convection in a Porous Medium, Applied Mathematics Seminar, UTPA, November 28, 2012.

Linear and adjoint system for a three dimensional convective flow in a passive mushy layer, Texas Partial

Differential Equation Conference, Texas A&M University, College Station, TX, March 3, 2012.

Derivation of Landau coefficients for magneto-convective flow in an active mushy layer, Applied Mathematics

Seminar, UTPA, April 18, 2012.

Interactive Applets used in Differential Equation and Calculus Courses, workshop on “Innovative Classroom

Practices in STEM Education”, UTPA, April 21, 2012.

Derivation of the Landau coefficients for convective flow in a mushy layer, Texas Differential Equation

Conference, University of Texas-Pan American, Edinburg, TX, March 27, 2011.

Marginal stability analysis due to convective flow in an active mushy layer, South Texas Mathematics

Consortium, South Texas College, Harlingen, TX, February 19, 2011.

Water wave scattering due to circular and elliptical cylinders, Applied Mathematics Seminar, UTPA,

December 7, 2011.

Nonlinear magneto-convection in a passive mushy layer, Holiday Workshop on Applied Mathematics,

University of Texas-Pan American, Edinburg, TX, December 19, 2010.

Nonlinear magneto-convection in a passive mushy layer, Texas Partial Differential Equation Conference,

University of Texas-Austin, Austin, TX, April 11, 2010.

Basic State and Linear Perturbed Solutions of a Buoyant Flow in a Mushy Layer during Solidification , Texas

Partial Differential Equation Conference, Texas State University, San Marcos, TX, March 28, 2009.

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On Linear Perturbation of Buoyant Flow in a Permeable Mushy Layer during Solidification, Applied Math

Seminar, UTPA, March 11 2009.

Landau Type Equation for Convective Flow in a Mushy Layer with Variable Permeability, Applied Math

Seminar, UTPA, December 2, 2009.

Computation of Buoyant Flow in a Mushy Layer during Alloy Solidification, Applied Math Seminar, UTPA,

Nov 19 2008.

Computation of the second order dynamic force component on a vertical cylinder due to wave diffraction,

Texas Partial Differential equation, University of Houston, Downtown, TX, April 5, 2008.

Wave forces on a floating cylinder due to combined effect of diffraction and surge radiation, South Texas

Mathematics Consortium, Texas A&M University, Kingsville, TX, Feb 9, 2008.

Computation of the wave forces on a floating cylinder due to scattering and radiation due to surge, heave and

pitch, Applied Math Seminar, Department of Mathematics, UTPA, January 23, 2008.

Offered a short course on “Fractional Calculus, Theory and Applications” at a workshop organized by Texas

Section of Mathematical Association of America (MAA) in Edinburg, TX during April 12-14, 2007. This

course was offered jointly with Professor Lokenath Debnath and it was attended by 37 faculty and students

from various universities/colleges throughout Texas.

Wave Loads on a cylinder in water due to diffraction, Applied Math Seminar, Department of Mathematics,

UTPA, December 6, 2006.

Use of B-polynomials in solving partial differential equations, 29th Texas PDE (Partial Differential Equations)

conference at University of Texas at Arlington, March 25, 2006.

Fluid flow around an elliptic cylinder using finite element method, South Texas Mathematics Consortium,

Texas A&M University, Corpus Christi, Texas, Feb 25, 2006. Computation of the nonlinear free surface term due to second order diffraction by a pair of cylinders, Applied

Math Seminar, Department of Mathematics, UTPA, Feb 4, 2006.

Hydrodynamic coefficients due to a heaving cylinder in water of finite depth, Texas PDE (Partial Differential

Equations) conference, 2005.

Solutions of partial differential equations using separation of variables method with few Applications, South

Texas Mathematics Consortium, Harlingen, TX, 2005.

Use of finite element method in fluid flow computations, Applied Math Seminar, Department of Mathematics,

UTPA, 2005.

Numerical solutions of Burgers’ equation in a B-polynomial Basis, Applied Math Seminar, Department of

Mathematics, UTPA, 2005.

Grants (Research and Teaching) Awarded/Submitted:

Teaching: Received an external grant proposal in the amount of $636,071.00 on “Pathways to Graduate and

Professional Careers in the Mathematical Sciences” to National Science Foundation (NSF/STEM) as Co-PI. (PI:

Tim Huber Co-PIs: Dambaru Bhatta, Virgil Pierce, Ranadhir Roy, George Yanev). For this grant, we have met

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several times. We presented grant information to students through various media to recruit students. Awarded.

Teaching: Submitted an external grant proposal on “Pathways to Graduate and Professional Careers in the

Mathematical Sciences” to National Science Foundation (NSF/STEM) Aug 2nd 2013. (PI: Dambaru Bhatta &

Co-PI: Dr. Tim Huber). Proposed budget is $463,803.00. Not funded.

Research: Submitted an external grant proposal on “Numerical simulation of chimney formation due to thermo-

solutal convection using a single-domain finite element method” to National Science Foundation (NSF/TTP) Feb

2013. (Principal Investigator: Dambaru Bhatta & Co-Investigator: Prof. M Bhatti). Proposed budget is

$294,224.00. Not Funded.

Research: Awarded Undergraduate Research Initiative (URI) Award of UTPA in the amount of $2000.00 for the

academic year 2012-2013. Funded.

Teaching: Awarded Faculty Development Council (FDC) Award of UTPA in the amount of $1500.00 to attend a

workshop on “Workshop on Exploring Mathematical Modeling and Simulation of Climate Models” at the Joint

Mathematics Meeting, San Diego. January, 2013. Funded.

Research: Submitted an external grant proposal on “Effects of structured surfaces on stability and associated mass

transport in micro-channels during protein crystallization” to National Institute of Health

(NIH/NIGMS/SCORE), May 2012. (Principal Investigator: Dambaru Bhatta & Co-Investigator: Prof. Daniel N.

Riahi). Proposed budget is $430,000.00. Not funded.

Teaching: Awarded Faculty Development Council (FDC) Award of UTPA in the amount of $1896.00 to attend

two workshops on “Incorporation of technology in teaching undergraduate Calculus and Differential Equations”

organized by Mathematical Association of America (MAA), Boston. January, 2012. Funded.

Research: Awarded Faculty Research Council (FRC) Award of UTPA in the amount of $2600.00 for the academic

year 2010-2011. This research work is involved with computation of wave loads on offshore structure due to wave

diffraction. Funded.

Research: Awarded Undergraduate Research Initiative (URI) Award of UTPA in the amount of $2000.00 for the

academic year 2010-2011. This research work is involved with solution of an ordinary differential equation in

terms of Bessel functions and its application to wave-structure interaction. Funded.

Research: Submitted a grant proposal advertised by DOD on Protein Growth in a Micro Channel in June-2010 for

internal review. Not funded.

Research: Awarded Faculty Research Council (FRC) Award of UTPA in the amount of $4200.00 for the academic

year 2009-2010. This research work is involved with study on the formation of roll and the hexagon patterns due

to convection heated from below. Funded.

Research: Submitted an external grant proposal on “Mass Transport and Stability Modeling during Protein

Growth in Micro-channels” to National Institute of Health (NIH), March 2009. (PI: Dambaru Bhatta and CoPI-

Prof. Daniel N. Riahi). Proposed budget is $20,000.00. Not funded.

Research/Teaching: Awarded Faculty Development Council (FDC) Award of UTPA in the amount of $1250.00

to attend a workshop on undergraduate research organized by Mathematical Association of America in San Diego

in January, 2008. Funded.

Research: Awarded Faculty Research Council (FRC) Award of UTPA in the amount of $3000.00 as a CoPI for

the academic year 2006-2007. PI for this project is Professor Daniel Riahi. This research work is involved with

computation of buoyant convection around growing protein crystal. Funded.

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Research: Awarded Faculty Research Council (FRC) Award of UTPA in the amount of $2100.00 for the Spring

2006 to continue research on computational solutions of partial differential equations using finite element method.

Funded.

Teaching: Submitted a Quality Enhancement Plan (QEP) Intervention Proposal “Collaborative Learning through

Active Interactions with Instructors and Student Assistants”, UTPA, March 2006. Proposed budget: $187,520.00.

Not funded.

Teaching: Submitted a grant proposal “Adaptation and Implementation of WebWork with a LyX Based Problem

Writing Interface” to National Science Foundation (NSF) in May 2006. Proposed budget is $149,688.00. Not

funded.

Research: Submitted a grant proposal “Biomathematical Models of Tumor Growth and Cancer Chemotherapy”

to National Institute of General Medical Sciences of National Institute of Health (NIH) in December 2005.

Proposed budget: $105,000.00. Not funded.

Teaching List of the courses taught at UTPA/UTRGV: Graduate Courses

Numerical Partial Differential Equations

Numerical Analysis

Partial Differential Equations

Integral Transform

Linear Algebra

Special Topic, FEM

Undergraduate Courses

Integral Transform

Complex Variables

Number Theory

Differential Equations

Math for Electrical Engineering & Computer Science

Discrete Mathematics

Discrete Structures

Calculus-III

Calculus-II

Calculus-I

Pre-Calculus

Business Calculus

College Algebra

Business Algebra

Intermediate Algebra

Use of Technology: I use WebWork in my most of the classes. WebWork is used for computer assigned home works. WeBWorK is an Internet-based system for generating and delivering homework problems to students. Also I use LyX, LaTex, CoPlot, Java, Maple, MatLab to prepare class notes, study materials, quizzes, tests, numerical/computational work. I use Interactive applets for calculus courses. I have used Early Warning System (Utility from ASSIST). This

alerts students who are missing classes/HW.

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Graduate Student Research: Four students completed Master’s Thesis under my direct-supervision or co-supervision. Two other students is continuing thesis work under my supervision. Thesis Title: Cubic B-Splines: Derivation with Applications. (M Munguia).

Thesis Title: Computation of Fluid Velocity in a Closed Cavity with a Moving Lid. (D Montez).

Thesis Title: Analytical and Computational Studies of Magneto-Convection in Solidifying Mushy Layer.

(MS Muddamallappa).

Thesis Title: Modeling instabilities of electrically driven jets under constant or variable applied field and

nonzero basic velocity. (SN Das).

Supervised PhD Student: Supervised research work of Mostafa Jani, a PhD student at Kharazmi University,

Tehran, Iran. Summer 2014 - Spring 2015.

PhD Thesis Reviews: “Linear Sloshing in Vertical Circular Cylindrical Containers with Different Configurations under the

influence of Surface Tension” for PhD degree in the Department of Mathematics, Indian Institute of

Technology, Guwahati, India, Sept 2015.

“Mathematical Study of Some Water Wave Propagation Problems” for the Doctor of Philosophy (Science)

degree of Jadavpur University, Department of Mathematics, May 2011.

“On Some Integral Equations in Continuum Mechanics” for the Ph.D. (Science) Degree of the University

of Calcutta in Applied Mathematics, Feb 2010. “Water Wave Scattering by a Spherical Structure and an Undulating Bottom Topography in a Stratified

Fluid” for PhD degree in the Department of Mathematics, Indian Institute of Technology, Guwahati, India,

Sept 2009.

“Some Problems on Water Wave Scattering” for the Ph.D. (Science) degree of the University of Calcutta

in Applied Mathematics, July 2009.

“Solution of Some Integral Equations and Their Applications” for Ph.D. (Science) degree of Jadavpur

University, March 2009.

Member MS Thesis Committee: Served on four Master’s Thesis Committees.

Undergraduate Student Research: I supervised several undergraduate students’ research. These research activities are supported by URI

(Undergraduate Research Initiative), FRC (Faculty Research Council), LSAMP, Math Project Course. Students

involved in these activities were Juan Morales, Indalecio Soto, Guerrero Homero, Daniel Montez, Maria Munguia,

Abigail Montalvo, Bryan Maxwell, Brian Gamas, Daniel Loredo, Rocky Melchor, Roberto Palacios.

Advising Undergraduate Students:

In addition to advising math major students assigned to me every year every year. During 2013-14 and

2014-15, I advised many undergraduate students being assistant chair and one of the departmental

advisors.

Calculus Bowl: Helped our student participants in preparation for this event. Accompanied the students to 95th Texas Section

Meeting of MAA (Mathematical Association of America), San Antonio, TX, April 9, 2015

HESTEC (Hispanic Engineering Science & Technology Conference): Two graduate students participated in Science Poster Session in HESTEC. Titles of the posters are: Title: Modeling & Computation of Flow in Mushy Layers. Title: Computation for electrically forced jets & electro-spinning process.

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Study Abroad Program for College Algebra:

Proposed Faculty Led Study Abroad Program for MATH 1340 and MATH 1460 for Summer, 2010 at

the University of Salamanca, Spain. Program was approved by administration. Due to lack of enough

students, the courses did not make it.

Teaching Related Workshops: I attended several teaching related workshops organized by Mathematical Association of America (MAA),

American Mathematical Society (AMS) and our Office of the Provost as faculty development webinar series.

These workshops include “Math-modeling and simulation of climate models with hands-on activities” organized

by Mathematical Association of America (MAA) in January, 2013, “A dynamical systems approach to the

differential equations course” and “Interactive applets for calculus and differential equations” organized by

Mathematical Association of America (MAA), January, 2012.

Professional Service

Service to School/Department/College/University:

University Level Committees/Councils I served: External Awards Committee (2014-15)

Academic Information Technology Council (2012-14)

Academic Computing Council (2011-12)

Faculty Senate (2009-12)

Faculty Research Council (2006-09)

Faculty Senate (2005-07)

College Level Committees I served:

College Tenure & Promotion Committee (2013-14)

College of Science and Engineering Academic Appeals Committee (Summer-08)

College of Science and Engineering Academic Appeals Committee (Summer-07)

School/Department Service: As Assistant Chair:

During 2014-15, I served our department as Assistant Chair. Duties included: Handling Mathematics

Advising for non-mathematics major, Handling student and faculty meetings, complaints and appeals

when the chair was unavailable, Representing the Chair or Department when he was not available,

Helping the department with compliance issues, memorandums and other official documents. I helped

department chair by creating various courses on WebWork requested by faculty during this academic

year. I advised undergraduate students throughout the year.

School/Dept Level Committees I served: Lecturer Search Committee (2015)

I-Director Search Committee (2015)

Assistant Chair (2014-15)

Undergraduate Curriculum & Recruitment Committee (2014-15)

Strategic Action Planning Committee (2014-15)

Mathematics Majors’ Assessment Committee (2014-15)

Department Tenure & Promotion Committee (2013-2014), Chair

Tenure & Promotion Guideline review Committee (2013-14), Chair

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Graduate Curriculum Committee (2013-14)

PhD Planning Committee (2013-14)

Weiner Society of Mathematicians (2013-14)

Calculus Textbook Committee (2013-14)

Annual Report Committee (2012-13), Chair

Library Committee (2011-13), Liaison Department Tenure & Promotion Committee (2010-2013)

Business Algebra/Business Calculus Committee (2012-13)

Annual Evaluation Document Development Committee (2011-12)

Chair Search Committee (2011-12)

Annual Evaluation Committee (2008-12)

College Algebra Project & Textbook Committee (2009-12)

Technology Committee (2007-11), Chair

Calculus Textbook Committee (2005-11), Chair

Undergraduate Curriculum & Recruitment Committee (2009-11)

Five Year Academic Program Review Committee (2009-10)

South Texas Mathematics Consortium Meet (2008-09)

Mathematics Search Committee (2004-2009) Mathematics Colloquium & Distinguished Lecture Series (2006-2007)

Technology Committee (2004-07)

Library Committee (2004-2007)

Pre-Calculus/Trigonometry Textbook Committee (2004-2007),

Applied Mathematics Seminar Committee (2004-2006)

Calculus Textbook Committee (2004-05)

Reviewed research articles for the following peer review journals:

IMA Journal of Applied Mathematics

Journal of Engineering Mathematics

Journal of Advanced Research in Applied Mathematics

Applied Mathematics Letter

Applied Mathematics and Computation

Journal of Computational and Applied Mathematics

Numerical Methods for Partial Differential Equations

International Journal of Engineering Science

Transport in Porous Media

International Journal of Applied Mathematics and Computing

Ocean Engineering

IEEE Journal of Ocean Engineering,

Proceedings of the National Academy of Sciences, India Section, A: Physical Sciences

Journal of Fluid & Structures

Meccanica

Journal of Marine Science and Application

Journal of Applied Mathematics and Informatics

ZNA: A Journal of Physical Sciences,

Computers & Mathematics with Applications

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International Journal of Mathematics and Mathematical Sciences

International Journal of Applied Mathematics and Engineering Sciences

Applications and Applied Mathematics: An International Journal (AAM)

Surveys in Mathematics and its Applications

Bulletin of the Belgian Mathematical Society

International Journal of Bifurcation and Chaos

International Conference of Numerical Analysis and Applied Mathematics

Members of Editorial Board: Serving as a member of the editorial board for the journal “International Journal of Applied Mathematics

and Engineering Sciences” since 2006.

Served as a member of the editorial board for the journal “Mathematical Sciences: International Research

Journal” in 2013.

Services in Conferences:

Texas DE-2011: Texas Differential Equations conference was held at UTPA in March 26-27, 2011. I was

one of the co-organizers for this conference.

JMM 2011: I chaired a session at the Joint Mathematics Meetings (JMM) of American Mathematical Society

(AMS) and Mathematical Association of America (MAA), New Orleans, LA, January 6th, 2011.

NSF/CBMS Regional Research Conference-2010 on Mathematical Sciences was held in May 17-21, 2010,

at UTPA. As a member of the organizing committee I offered my service in many different ways.

STMC-2009: Organizing committee member for South Texas Mathematics Consortium, UTPA, Feb 2009.

Reviewed articles submitted for the consortium.

Texas Section of Mathematical Association of America (MAA) was organized at UTPA in April 12-14,

2007. As a member of the organizing committee, I volunteered my service in various ways for all the days

during the event. Also a course was offered on “Fractional Calculus, Theory and Applications” by me and the

Chair of our department as a workshop and it was attended by 37 faculty and students from various

universities/colleges throughout Texas.

5th International Conference on Differential Equations and Dynamical Systems was held at the University

of Texas-Pan American, Edinburg, TX, December 16-18, 2006. Participants came from various parts of the

world. I chaired a session at this conference.

NSF/CBMS Regional Research Conference-2005 on New Perspectives for Boundary Value Problems and

their Asymptotics was held in May 16-20, 2005, at UTPA. As a member of the organizing committee I offered

my service in many different ways.

Texas PDE 2005: Texas Partial Differential Equations conference was held at UTPA in March 19, 2005. I

helped in preparing the schedule for the conference. Also I offered my service locally to various participants

whenever they needed. In addition to that I presented a paper in that conference.

Majors’ Fair: Participated in the Majors Fairs organized by the Student and Academic Services to promote

various courses offered by our College several times.

Graduate Fair: Participated in Graduate Fair on March 12, 2015 at the Fieldhouse, on March 6-2014 in the

Community Engagement and Student Success Building (CESS). We talked and distributing brochures to our

graduate program to future students. Most participants were from various RGV High Schools.

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Community Service in South Texas:

House Bill-5: College Preparatory Mathematics (CPM) High School Course: Final Exam Development: Helped in developing final exams for College Prep Math (CPM) courses: CPM-

A & CPM-B. Final exam for Fall-2014 and Spring-2015 were developed.

Distribution: Distributed the exams to more than 20 high schools throughout South Texas in two different

formats, WebWork and PDF. Some of the participating high schools include Edinburg High, Lamar,

Hidalgo ECHS, LyJoya, Mission, RG City High, San Benito, Sharyland, Weslaco High, Weslaco East

High, Lasara, LyFord, Monte Alto, Valley View High.

Assessment: Developed assessment questionnaires to evaluate the Student Learning Outcomes for both

courses for both semesters. This was sent to all participating high schools. Then prepared the assessment

report based on the responses received from the instructors.

Workshop for HB-5: Participated in several workshops related to House Bill-5. We met various teachers

from different high schools to explain about College Prep Math courses: CPM-A and CPM-B syllabuses

and evaluation procedures, especially the final exams for CPM-A and CPM-B. Discussed various issues

regarding final exams of CPM-A & CPM-B for both semester:

2015 High School Math Contest: Co-organized 2015 High School Math Contest on April 18, 2015. I visited

several high schools in spring 2015. The total number of high schools participated in this event was 8.

The contest consisted of two parts: Part-I had multiple choice questions and Part-II had free response

questions.

RGVCTM Conference 2014: Helped organizer of The Rio Grande Valley Council of Teachers of

Mathematics (RGVCTM) in Nov 15th, 2014 by completing the assigned MAGC classrooms activities.

2014 High School Math Contest: Co-organized 2014 High School Math Contest on April 26, 2014. I visited

several high schools for this activity. The total number of high school participated was six. Visited the

schools to handover certificates/prizes to winners.

RGVCTM Conference 2013: Helped organizer of The Rio Grande Valley Council of Teachers of

Mathematics (RGVCTM) in Nov 3rd, 2013 by completing the assigned MAGC classrooms activities.

2013 High School Math Contest: Co-organized 2013 High School Math Contest on April 27, 2013. I visited

several high schools. The total number of participants in this event was 113 from the following high

schools: Edinburg High School, Johnny Economedes High School, Robert Vela High School, Business

Education & Technology Academy (BETA), Pharr San Juan & Alamo (PSJA) North High School,

McAllen Memorial High School and Science Academy.

RGVCTM Conference 2012: I offered my service in The Rio Grande Valley Council of Teachers of

Mathematics (RGVCTM) in Nov 17th, 2012 in the assigned MAGC classrooms to take care of events in

these rooms. This meeting was attended by about 500 attendees.

Regional Science Bowl Judge: I served as a judge for six rounds for five different teams from Middle

Schools (including schools from Corpus Christi) on Feb 23, 2013.

Secondary Science Fair Judge: I served in Weslaco ISD Secondary Science Fair, January 26th 2013 as a

judge. I judged 10 posters and interviewed the presenters. Among these 10, five posters were presented

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by 9-12 graders and other five posters were presented by 6-8 graders. We were provided specific

guidelines regarding the distribution of scores and trained for about thirty minutes before the

competition. While interviewing, I tried to give constructive comments to improve their work for next

level which is regional competition.

OTHER EXPERIENCES

Previous Academic and Industrial Experiences:

(08/2003 - 08/2004): Assistant Professor, Mathematics, Louisiana State University, Alexandria.

I have taught various courses including Calculus and College Algebra at the Louisiana State

University at Alexandria during 2003-04 academic year. I used technology in the class to teach the

college algebra course.

(08/2002 - 08/2003): Lecture in Mathematics, University of Texas - Pan American, Edinburg.

I taught courses (College Algebra , Business Algebra , Business Calculus , Calculus II, Calculus III,

Differential Equations) at the undergraduate level at the University of Texas - Pan American.

(1995 - 1996): Post Doctoral work at Dalhousie University, Halifax, Canada.

Implemented a computational finite element model to solve partial differential equation (heat

conduction) to analyze confined single crystal growth. Finite element method was used to compute

the solution. This project was funded by Canadian Space agency.

(1998 – 08/2002): Manugistics Inc, Atlanta, GA.

Developed/Enhanced Enterprise Profit Optimization software for airline and car rental industries.

Implemented on HP-UX, AIX and SunOS using C++, Rational Rose, Rogue Wave, SQL, Perl, and

shell scripts.

(1997 - 1998): SHL System House Ltd., Ottawa, Canada.

Developed a C++ Object library for CFSSU specialized software team. Implemented an application

for Symbol Technologies' portable data collection terminals. Implemented on Windows NT platform

using Visual C++.

(1996 - 1997): Park Medical Systems Inc, Montreal, Canada.

Developed image processing software using C++/C/Motif on SunOS/Solaris. Implemented image

reconstruction algorithm for fan beam. Designed and implemented the User Interfaces for iterative

reconstruction procedure.

(1986 - 1991): Oil and Natural Gas Commission, Dehradun, India. Developed and implemented various seismic signal processing algorithms (including wavelet

deconvolution) using FORTRAN in VAX, IBM-370, IBM-3083.