A Sparse Spectral Method for Volterra Integral Equations Using Orthogonal Polynomials on the Triangle

DOI10.1137/19M1267441zbMath1447.65171arXiv1906.03907MaRDI QIDQ3303722

Sheehan Olver, Timon S. Gutleb

Publication date: 4 August 2020

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.03907

zbMATH Keywords

orthogonal polynomialsVolterra integral equationsspectral methodssparse operators

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical methods for integral equations (65R20) Volterra integral equations (45D05)

Related Items (3)

Computing equilibrium measures with power law kernels ⋮ A static memory sparse spectral method for time-fractional PDEs ⋮ A fast sparse spectral method for nonlinear integro-differential Volterra equations with general kernels

Uses Software

• DLMF
• Chebfun
• OPQ
• chebop
• Julia
• SingularIntegralEquations
• GitHub
• FastTransforms.jl

Cites Work

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