Finite Difference Computing with PDEs [electronic resource] : A Modern Software Approach

• Tác giả: Hans Petter Langtangen, Svein Linge
• Ngôn ngữ: eng
• ISBN: 9783319554556 (print)
• ISBN-13: 978-3319554563
• Ký hiệu phân loại: 515.353 Partial differential equations
• Thông tin xuất bản: Cham : Springer International Publishing : Imprint: Springer, 2017
• Mô tả vật lý: XXIII, 507 p. 150 illus. , online resource.
• Bộ sưu tập: Tài liệu truy cập mở
• ID: 117522
• Chủ đề: 1. Computer mathematics; 2. Computer science--Mathematics; 3. Mathematics; 4. Numerical analysis

Tóm tắt

This book is open access under a CC BY 4.0 license. This easy-to-read book introduces the basics of solving partial differential equations by means of finite difference methods. Unlike many of the traditional academic works on the topic, this book was written for practitioners. Accordingly, it especially addresses: the construction of finite difference schemes, formulation and implementation of algorithms, verification of implementations, analyses of physical behavior as implied by the numerical solutions, and how to apply the methods and software to solve problems in the fields of physics and biology.