The ideal review for your partial differential equations course
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290 fully worked problems of varying difficulty
Clear, concise explanations of differential and difference methods
Help with variation formulation of boundary value problems and variation approximation methods
Outline format supplies a concise guide to the standard college course in partial differential equations
Appropriate for the following courses: Partial Differential Equations I, Partial Differential Equations II, Applied Math I, Applied Math II
Complete course content in easy-to-follow outline form.
Hundreds of solved problems
Paul DuChateau, Ph.D. is currently Professor of Mathematics at Colorado State University in Fort Collins, Colorado. He received his B.Sc. in engineering science and his Ph.D. in mathematics at Purdue University in 1962 and 1970 respectively. In addition to teaching, he has worked as an applied mathematician for General Motors and United Aircraft corporations and has held visiting positions at Argonne National laboratory. He has received government funding for research in applied mathematics and has published extensively in the area of partial differential equations. David W. Zachmann, Ph.D. is Professor of Mathematics at Colorado State University. He received his Ph.D. in applied mathematics from the University of Arizona in 1970 and his B.S. in mathematics from Colorado State University in 1965. During 1983 he was a visiting senior research scientist at the CSIRO Environmental Mechanics Division in Canberra, Australia. His research in applied mathematics has been supported by various government agencies. In addition to his teaching and research activities, he frequently serves as a consultant to industry and government.
1. Introduction 2. Classification and Characteristics 3. Qualitative Behavior of Solutions to Elliptic Equations 4. Qualitative Behavior of Solutions to Evolution Equations 5. First-Order Equations 6. Eigenfunction Expansions and Integral Transforms: Theory 7. Eigenfunction Expansions and Integral Transforms: Applications 8. Green's Functions 9. Difference Methods for Parabolic Equations 10. Difference and Characteristic Methods for Parabolic Equations 11. Difference Methods for Hyperbolic Equations 12. Difference Methods for Elliptic Equations 13. Variational Formulation of Boundary Value Problems 14. The Finite Element Method: An Introduction