Practical Implementation of High-Order Multiple Precision Fully Implicit Runge-Kutta Methods with Step Size Control Using Embedded Formula

zbMath1278.65102arXiv1306.2392MaRDI QIDQ2858109

Tomonori Kouya

Publication date: 19 November 2013

Full work available at URL: https://arxiv.org/abs/1306.2392

zbMATH Keywords

numerical exampleserror boundsimplicit Runge-Kutta methoditerative refinement methodmultiple precision floating-point arithmetic

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for numerical methods for ordinary differential equations (65L70)

Related Items (1)

Perturbed Runge-Kutta methods for mixed precision applications

Uses Software

• RADAU

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