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Applied Numerical Mathematics 2 (1986) 157 North-Holland 157 FOREWORD This volume contains 19 research papers dedicated to Milton E. Rose on the occasion of his 60th birthday. The contributors are mathematicians and fluid dynamicists who have known and worked with Milt Rose during his tenure as Director of ICASE. These research papers cover some recent developments in numerical analysis and computa- tional fluid dynamics. Some of these studies are of a fundamental nature. They address basic issues such as intermediate boundary conditions for approximate factorization schemes, ex- istence and uniqueness of steady states for time-dependent problems, pitfalls of implicit time stepping, etc. The other studies deal with modem numerical methods such as total-variation-di- minishing schemes, higher order variants or vortex and particle methods, spectral multidomain techniques, and front-tracking techniques. There is also a paper on adaptive grids. The fluid dynamics papers treat the classical problems of incompressible flows in curved pipes, vortex breakdown, and transonic flows. The editors would like to take this opportunity to thank the authors for their excellent contributions and their promptness for meeting deadlines. J.C. SOUTH M.Y. HUSSAINI March 1986 0168-9274/86/$X50 0 1986, Elsevier Science Publishers B.V. (North-Holland\

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Page 1: Foreword

Applied Numerical Mathematics 2 (1986) 157 North-Holland

157

FOREWORD

This volume contains 19 research papers dedicated to Milton E. Rose on the occasion of his 60th birthday. The contributors are mathematicians and fluid dynamicists who have known and worked with Milt Rose during his tenure as Director of ICASE.

These research papers cover some recent developments in numerical analysis and computa- tional fluid dynamics. Some of these studies are of a fundamental nature. They address basic issues such as intermediate boundary conditions for approximate factorization schemes, ex- istence and uniqueness of steady states for time-dependent problems, pitfalls of implicit time stepping, etc. The other studies deal with modem numerical methods such as total-variation-di- minishing schemes, higher order variants or vortex and particle methods, spectral multidomain techniques, and front-tracking techniques. There is also a paper on adaptive grids. The fluid dynamics papers treat the classical problems of incompressible flows in curved pipes, vortex breakdown, and transonic flows.

The editors would like to take this opportunity to thank the authors for their excellent contributions and their promptness for meeting deadlines.

J.C. SOUTH M.Y. HUSSAINI

March 1986

0168-9274/86/$X50 0 1986, Elsevier Science Publishers B.V. (North-Holland\

Page 2: Foreword

158

MILT E. ROSE