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.


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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
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GPSR Compliance The European Union's (EU) General Product Safety Regulation (GPSR) is a set of rules that requires consumer products to be safe and our obligations to ensure this. If you have any concerns about our products you can contact us on ProductSafety@springernature.com. In case Publisher is established outside the EU, the EU authorized representative is: Springer Nature Customer Service Center GmbH Europaplatz 3 69115 Heidelberg, Germany ProductSafety@springernature.com
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Produktdetaljer

ISBN
9783030497187
Publisert
2022-04-24
Utgiver
Springer Nature Switzerland AG
Høyde
235 mm
Bredde
155 mm
Aldersnivå
Research, P, 06
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
16

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