Reciprocal function method for Cauchy problems with first-order poles

DOI10.1134/S1064562420020040OpenAlexW3042822391MaRDI QIDQ2243732

Yanyan Li

Publication date: 11 November 2021

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562420020040

zbMATH Keywords

singularitiesCauchy problemcontinuation through pole

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Numerical analysis (65-XX)

Uses Software

• DLMF

Cites Work

• Geometrically adaptive grids for stiff Cauchy problems
• Numerical detection and study of singularities in solutions of differential equations
• NIST digital library of mathematical functions
• Efficient numerical integration methods for the Cauchy problem for stiff systems of ordinary differential equations
• Numerical diagnostics of solution blowup in differential equations
• Diagnosis of singularities of exact solutions by calculation on embedded grids
• Some general implicit processes for the numerical solution of differential equations
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