Scaling invariance and adaptivity

DOI10.1016/S0168-9274(00)00036-2zbMath0998.65070OpenAlexW2055814606MaRDI QIDQ5954978

Chris J. Budd, Benedict J. Leimkuhler, M. D. Piggott

Publication date: 15 November 2002

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(00)00036-2

zbMATH Keywords

HamiltonianSundman transformationadaptivityscaling invariancesingular solutions

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Time series analysis of dynamical systems (37M10) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

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Uses Software

• DASSL

Cites Work

• Invariant curves for variable step size integrators
• Similarity methods for differential equations
• Time-transformations for reversible variable stepsize integration
• Variable steps for reversible integration methods
• Reversible Long-Term Integration with Variable Stepsizes
• Solving Ordinary Differential Equations I
• Reversible adaptive regularization: perturbed Kepler motion and classical atomic trajectories
• Moving Mesh Methods for Problems with Blow-Up
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