Partial Differential Equations: Classical Theory with a Modern Touch

ISBN-13: 9781108839808 / Angielski / Twarda / 2020 / 374 str.

A. K. Nandakumaran;P. S. Datti

Opis

A valuable guide covering the key principles of partial differential equations and their real world applications.

Spis treści

List of illustrations; Preface; Acknowledgements; Notations; 1. Introduction; 2. Preliminaries; 3. First-order partial differential equations: method of characteristics; 4. Hamilton–Jacobi equation; 5. Conservation laws; 6. Classification of second-order equations; 7. Laplace and Poisson equations; 8. Heat equation; 9. One-dimensional wave equation; 10. Wave equation in higher dimensions; 11. Cauchy–Kovalevsky theorem and its generalization; 12. A peep into weak derivatives, Sobolev spaces and weak formulation; References; Index.