The Convergence of Collocation Solutions in Continuous Piecewise Polynomial Spaces for Weakly Singular Volterra Integral Equations-Reference-Cited by-同舟云学术

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The Convergence of Collocation Solutions in Continuous Piecewise Polynomial Spaces for Weakly Singular Volterra Integral Equations

Published:2019-01 Issue:4 Volume:57 Page:1875-1896
ISSN:0036-1429
Container-title:SIAM Journal on Numerical Analysis
language:en
Short-container-title:SIAM J. Numer. Anal.

Author:

Liang Hui,Brunner Hermann

Funder

Heilongjiang Province University Nursing Program for Young Scholars with Creative Talents

China Scholarship Council

Hong Kong Baptist University

National Natural Science Foundation of China

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Numerical Analysis,Applied Mathematics,Computational Mathematics

Link

https://epubs.siam.org/doi/pdf/10.1137/19M1245062

Reference6 articles.

1. The numerical solution of weakly singular Volterra integral equations by collocation on graded meshes

2. On the Divergence of Collocation Solutions in Smooth Piecewise Polynomial Spaces for Volterra Integral Equations

3. The piecewise polynomial collocation method for nonlinear weakly singular Volterra equations

4. A Hybrid Collocation Method for Volterra Integral Equations with Weakly Singular Kernels

5. Continuous collocation approximations to solutions of first kind Volterra equations

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4. Weakly singular Volterra integral equation with combined logarithmic-power-law kernel: Analytical and computational consideration;Applied Numerical Mathematics;2024-03

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