Mathematics applied to science : in memoriam Edward D. Conway /

Mathematics Applied to Science.

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Bibliographic Details
Corporate Authors: Elsevier Science & Technology; Tulane University. Department of Mathematics
Group Author: Conway, Edward D. Edward Daire, -1985; Goldstein, Jerome A., 1941; Rosencrans, Steven, 1938; Sod, Gary A., 1950
Published: Academic Press,
Publisher Address: Boston :
Publication Dates: 1988.
Literature type: eBook
Language: English
Subjects:
Online Access: http://www.sciencedirect.com/science/book/9780122895104
Summary: Mathematics Applied to Science.
Item Description: Proceedings of a conference held by the Dept. of Mathematics of Tulane University, Nov. 28-29, 1986.
Carrier Form: 1 online resource (xx, 309 pages) : illustrations
Bibliography: Includes bibliographical references.
ISBN: 9781483271989
1483271986
Index Number: Q101
CLC: N0-53
Contents: Front Cover; Mathematics Applied to Science: In Memoriam Edward D. Conway; Copyright Page; Table of Contents; Contributors; Preface; Biographical Sketch of Edward D. Conway; Scientific Biographical Sketch of Edward D. Conway; List of Articles by Edward D. Conway; CHAPTER 1. LARGE-TIME BEHAVIOR OF MODEL GASES WITH A DISCRETE SET OF VELOCITIES; 1. INTRODUCTION; 2. FUNDAMENTAL PROPERTIES; 3. ESTIMATES IN HIGHER NORMS; 4. ASYMPTOTIC BEHAVIOR IN L; 5. CONCLUSION; REFERENCES.
Chapter 2. applications of operator splitting methods to the numerical solution of nonlinear problems in continuum mechanics and physicsabstract; 1. generalities and synopsis; 2. description of some basic operator splitting methods for time dependent problems; 3. application to the navier-stokes equations for incompressible viscous fluids; 4. application to linear and nonlinear eigenvalue problems; 5. application to liquid crystal calculations; 6. conclusion; acknowledgements; references; chapter 3. on an asymptotic model for mach stem formation in planar detonations; 1. introduction.
2. the majda-rosales scheme3. analytical results; references; chapter 4. growth of cell populations via one-parameter semigroups of positive operators; 1. an equation describing cell size distribution as a concrete and abstract cauchy problem; 2. well-posed abstract cauchy problems and strongly continuous semigroups; 3. asymptotic behavior of strongly continuous semigroups; 4. asymptotic behavior of positive semigroups; 5. an example; references; chapter 5. solvent induced relaxation of excited state vibrational populations of diatomics: a mixed quantum-classical simulation; abstract.
I. introductionii. theory; 3. results and discussion; 4. summary; acknowledgement; references; chapter 6. moving mesh methods for partial differential equations; abstract; 1. introduction; 2. software design; 3. time discretization; 4. dynamic rezoning; 5. mesh regularity; 6. numerical example; 7. conclusions; acknowledgments; references; chapter 7. oscillatory solutions of partial differential and difference equations; acknowledgements; references; 8. the quantum-mechanical hartree-fock staircase method for molecular electronic energies; abstract; i. introduction.
2. hartree-fock staircase method3. analysis of the staircase method; 4. an open mathematical question and concluding remarks; references; chapter 9. electron density functionals from the gradient expansion of the density matrix: the trouble with long-range interactions; abstract; 1. density functional theory; 2. kinetic and exchange energies; 3. density matrix and its gradient expansion; 4. gradient expansion of the exchange energy; 5. inconclusive numerical experiment on the gradient coefficient; 6. derivations from linear-response theory; references.