Partial Differential Equations An Introduction to Analytical and Numerical Methods
This textbook introduces the study of partial differential equations using both analytical and numerical methods. By intertwining the two complementary approaches, the authors create an ideal foundation for further study. Motivating examples from the physical sciences, engineering, and economics com...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Cham
Springer International Publishing
2023, 2023
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| Edition: | 1st ed. 2023 |
| Series: | Graduate Texts in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 1 Modeling, or where do differential equations come from
- 2 Classification and characteristics
- 3 Elementary methods
- 4 Hilbert spaces
- 5 Sobolev spaces and boundary value problems in dimension one
- 6 Hilbert space methods for elliptic equations
- 7 Neumann and Robin boundary conditions
- 8 Spectral decomposition and evolution equations
- 9 Numerical methods
- 10 Maple®, or why computers can sometimes help
- Appendix