Numerical verification of solutions of periodic integral equations with a singular kernel

DOI10.1023/B:NUMA.0000049476.37729.99zbMath1079.65136MaRDI QIDQ2387777

Sunao Murashige, Shin'ichi Oishi

Publication date: 5 September 2005

Published in: Numerical Algorithms (Search for Journal in Brave)

zbMATH Keywords

trigonometric polynomialssingular integral equationprojection methodsnumerical verificationpotential problem

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Numerical methods for trigonometric approximation and interpolation (65T40) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Algorithms with automatic result verification (65G20) Singular nonlinear integral equations (45G05)

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New enclosure algorithms for the verified solutions of nonlinear Volterra integral equations ⋮ Numerical verification of solutions of Nekrasov's integral equation

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