Integrating ODE's in the Complex Plane-Pole Vaulting

DOI10.2307/2006383zbMath0448.65044OpenAlexW4245743261MaRDI QIDQ3894899

George F. Corliss

Publication date: 1980

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2006383

zbMATH Keywords

singularitiesnumerical examplesTaylor series methodsnumerical analytic continuationPainleve equationpole vaulting method

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (6)

ATOMFT: Solving ODEs and DAEs using Taylor series ⋮ Methods for the computation of the multivalued Painlevé transcendents on their Riemann surfaces ⋮ Deciphering Singularities by Discrete Methods ⋮ A numerical methodology for the Painlevé equations ⋮ Painlevé IV: A numerical study of the fundamental domain and beyond ⋮ Constructing New Time Integrators Using Interpolating Polynomials

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