Finite Difference Computing with Exponential Decay Models [electronic resource]

• Tác giả: Hans Petter Langtangen
• Ngôn ngữ: eng
• ISBN: 9783319294384 (print)
• ISBN-13: 978-3319294391
• Ký hiệu phân loại: 515.62 Calculus of finite differences
• Thông tin xuất bản: Cham : Springer International Publishing : Imprint: Springer, 2016
• Mô tả vật lý: XIV, 200 p. 29 illus. , online resource.
• Bộ sưu tập: Tài liệu truy cập mở
• ID: 117402
• Chủ đề: 1. Applied mathematics; 2. Computer mathematics; 3. Computer programming; 4. Engineering mathematics; 5. Mathematics; 6. Physics; 7. Software engineering

Tóm tắt

This text provides a very simple, initial introduction to the complete scientific computing pipeline: models, discretization, algorithms, programming, verification, and visualization. The pedagogical strategy is to use one case study ? an ordinary differential equation describing exponential decay processes ? to illustrate fundamental concepts in mathematics and computer science. The book is easy to read and only requires a command of one-variable calculus and some very basic knowledge about computer programming. Contrary to similar texts on numerical methods and programming, this text has a much stronger focus on implementation and teaches testing and software engineering in particular.