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New Sinc Methods of Numerical Analysis -

New Sinc Methods of Numerical Analysis

Festschrift in Honor of Frank Stenger's 80th Birthday

Gerd Baumann (Herausgeber)

Buch | Softcover
XVI, 404 Seiten
2022 | 1st ed. 2021
Springer International Publishing (Verlag)
978-3-030-49718-7 (ISBN)
CHF 194,70 inkl. MwSt
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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.

Part I Applications.- 1 Sinc-Gaussian Approach for Solving The Inverse Heat Conduction Problem.- 2 Poly-Sinc Collocation Method for Solving Coupled Burgers' Equations With a Large Reynolds number.- 3 Sinc Projection Solutions of Fredholm integral Equations.- 4 Lévy-Schrödinger Equation: Their eigenvalues and eigenfunctions using Sinc Methods.- 5 Application of Sinc on the Multi-Order Fractional Differential Equations.- 6 Election integrity audits to ensure election outcome accuracy .- 7 Numerical Solution of the Falkner-Skan Equation Arising in boundary layer Theory Using the sinc-collocation Method.- 8 Sinc Methods on Polyhedra.- Part II New Developments.- 9 Indefinite integration operators Identities, and their Approximations.- 10 An Algorithm for Quadratic Minimization.- 11 An Overview of the Computation of the eigenvalues Using Sinc-Methods.- 12 Completely Monotonic Fredholm Determinants.- 13 The in uence of jumps on the sinc interpolant, and ways to overcome it.- 14 Construction of approximation formulas for analytic functions by mathematical optimization.- 15 LU Factorization of any Matrix.- Part III Frank Stenger's Work.- 16 Publications by, and about, Frank Stenger.

Erscheinungsdatum
Reihe/Serie Trends in Mathematics
Zusatzinfo XVI, 404 p. 79 illus., 62 illus. in color.
Verlagsort Cham
Sprache englisch
Maße 155 x 235 mm
Gewicht 640 g
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Wahrscheinlichkeit / Kombinatorik
Schlagworte approximation methods • boundary value problems • Differential Equations • eigenvalues • fractional differential equation • Integral equations • LU decomposition • Numerical analysis • numerical approximation • polyhedra • Sinc Methods • Sinc points
ISBN-10 3-030-49718-6 / 3030497186
ISBN-13 978-3-030-49718-7 / 9783030497187
Zustand Neuware
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