Partial Differential Equations: Theory, Numerical Methods and Ill-Posed Problems

Michael V. Klibanov

ISBN 10: 1685075924 / ISBN 13: 9781685075927

Published by Nova Science Publishers Inc, 2022

About this Item

2022. Hardcover. . . . . . Books ship from the US and Ireland.

Seller Inventory # V9781685075927

Bibliographic Details

• Title: Partial Differential Equations: Theory, Numerical Methods and Ill-Posed Problems
• Publisher: Nova Science Publishers Inc
• Publication Date: 2022
• Language: English
• ISBN 10: 1685075924
• ISBN 13: 9781685075927
• Binding: Hardcover
• Condition: New

About this title

Synopsis

The laws of nature are written in the language of partial differential equations. Therefore, these equations arise as models in virtually all branches of science and technology. Our goal in this book is to help you to understand what this vast subject is about. The book is an introduction to the field suitable for senior undergraduate and junior graduate students. Introductory courses in partial differential equations (PDEs) are given all over the world in various forms. The traditional approach to the subject is to introduce a number of analytical techniques, enabling the student to derive exact solutions of some simplified problems. Students who learn about computational techniques in other courses subsequently realize the scope of partial differential equations beyond paper and pencil. Our book is significantly different from the existing ones. We introduce both analytical theory, including the theory of classical solutions and that of weak solutions, and introductory techniques of ill-posed problems with reference to weak solutions. Besides, since computational techniques are commonly available and are currently used in all practical applications of partial differential equations, we incorporate classical finite difference methods and finite element methods in our book.