Overview
- Introduces new exponentially convergent methods for solving multidimensional PDE, for indefinite integration and solution of indefinite convolution problems over finite or infinite intervals, for inverting Laplace transforms, and for inversion of Fourier transforms
- Presents new easy to apply and exponentially convergent methods of interpolation, quadrature and Hilbert transforms, over all intervals, finite, semi-infinite, infinite, or even arcs Includes a method of solution of Wiener-Hopf problems that works in all cases and enables circumvention of the popular factorization procedure that seldom works in applications
- Contains new methods of solving ODEs, PDEs, etc. problems over infinite regions as well as easy-to-apply methods for solving problems via use of polynomials
Part of the book series: Trends in Mathematics (TM)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (15 chapters)
-
Front Matter
-
Applications
-
Front Matter
-
-
New Developments
-
Front Matter
-
-
Frank Stenger’s Work
-
Front Matter
-
-
Back Matter
Keywords
About this book
This contributed volume honors the 80th birthday of Frank Stenger who established new Sinc methods in numerical analysis.The contributions, written independently from each other, show the new developments in numerical analysis in connection with Sinc methods and approximations of solutions for differential equations, boundary value problems, integral equations, integrals, linear transforms, eigenvalue problems, polynomial approximations, computations on polyhedra, and many applications. The approximation methods are exponentially converging compared with standard methods and save resources in computation. They are applicable in many fields of science including mathematics, physics, and engineering.The ideas discussed serve as a starting point in many different directions in numerical analysis research and applications which will lead to new and unprecedented results. This book will appeal to a wide readership, from students to specialized experts.
Editors and Affiliations
Bibliographic Information
Book Title: New Sinc Methods of Numerical Analysis
Book Subtitle: Festschrift in Honor of Frank Stenger's 80th Birthday
Editors: Gerd Baumann
Series Title: Trends in Mathematics
DOI: https://doi.org/10.1007/978-3-030-49716-3
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-49715-6Published: 24 April 2021
Softcover ISBN: 978-3-030-49718-7Published: 24 April 2022
eBook ISBN: 978-3-030-49716-3Published: 23 April 2021
Series ISSN: 2297-0215
Series E-ISSN: 2297-024X
Edition Number: 1
Number of Pages: XVI, 404
Number of Illustrations: 17 b/w illustrations, 62 illustrations in colour
Topics: Numerical Analysis