Matrices of Sinc methods

DOI10.1016/S0377-0427(97)00163-5zbMath0898.65066MaRDI QIDQ1379008

Frank Stenger

Publication date: 27 October 1998

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Poisson problemSinc methodsSinc convolution

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for discrete and fast Fourier transforms (65T50)

Related Items (6)

Numerical method for the solution of special nonlinear fourth-order boundary value problems. ⋮ Proof of Stenger's conjecture on matrix \(I^{(-1)}\) of sinc methods ⋮ Sinc-Galerkin method for solving nonlinear boundary-value problems ⋮ The double exponential sinc collocation method for singular Sturm-Liouville problems ⋮ Publications by, and About, Frank Stenger ⋮ Hybrid Solution of Two-Point Linear Boundary Value Problems

Uses Software

• ODE-IVP-PACK
• Sinc-Pack

Cites Work

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• Downdating of Szegö polynomials and data-fitting applications
• Factorizations of Cauchy matrices
• On the solution of Cauchy systems of equations
• Numerical experience with a superfast real Toeplitz solver
• N-Width and Entropy of $H_p$-Classes in $L_q ( - 1,1)$
• Explicit Nearly Optimal Linear Rational Approximation with Preassigned Poles
• Superfast Solution of Real Positive Definite Toeplitz Systems
• A Variant of the Gohberg–Semencul Formula Involving Circulant Matrices
• Collocating Convolutions
• Kronecker Product Extensions of Linear Operators
• Numerical Differentiation and the Solution of Multidimensional Vandermonde Systems
• A sinc-collocation method for initial value problems

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