Contour Integral Solution of Elliptic PDEs in Cylindrical Domains

DOI10.1137/15M1032764zbMath1327.65042OpenAlexW2103008883MaRDI QIDQ3452491

Nicholas Hale, J. A. C. Weideman

Publication date: 12 November 2015

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/15m1032764

zbMATH Keywords

contour integralLaplace's equationmatrix functionsDunford integraldouble exponential quadrature

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical integration (65D30) Numerical computation of matrix exponential and similar matrix functions (65F60)

Related Items (3)

Contour Integral Solution of Elliptic PDEs in Cylindrical Domains ⋮ Laplace inversion for the solution of an abstract heat equation without the forward transform of the source term ⋮ Fully numerical Laplace transform methods

Uses Software

• Matlab
• Eigtool
• Differentiation Matrix Suite
• GitHub
• mftoolbox

Cites Work

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• The SIAM 100-Digit Challenge
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• Functions of Matrices

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