Separation of variables and superintegrability : the symmetry of solvable systems

• Tác giả: E. G Kalnins, Jonathan M Kress, Willard Miller
• Ngôn ngữ: eng
• ISBN-13: 978-0750313148
• ISBN-13: 978-0750313155
• ISBN-13: 978-0750313162
• Ký hiệu phân loại: 515.353 Partial differential equations
• Thông tin xuất bản: Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, 2018
• Mô tả vật lý: 1 online resource (various pagings) : , illustrations (some color).
• Bộ sưu tập: Tài liệu truy cập mở
• ID: 160790
• Chủ đề: 1. Differential equations, Partial--Numerical solutions; 2. Mathematical physics; 3. Separation of variables; 5. SCIENCE / Physics / Mathematical & Computational

Includes bibliographical references.

Tóm tắt

Separation of variables methods for solving partial differential equations are of immense theoretical and practical importance in mathematical physics. They are the most powerful tool known for obtaining explicit solutions of the partial differential equations of mathematical physics. The purpose of this book is to give an up-to-date presentation of the theory of separation of variables and its relation to superintegrability. Collating and presenting it in a unified, updated and a more accessible manner, the results scattered in the literature that the authors have prepared is an invaluable resource for mathematicians and mathematical physicists in particular, as well as science, engineering, geological and biological researchers interested in explicit solutions.