Achieving Brouwer’s law with implicit Runge–Kutta methods
By Ernst Hairer, Robert I. McLachlan, Alain Razakarivony. 2008
70 citations recorded by the source corpus.
Subfields: Electrical and Electronic Engineering, Numerical Analysis, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/23ba2de55936e93134967f49b45f7420e416c855
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In Electrical and Electronic Engineering
In Numerical Analysis
In Statistical and Nonlinear Physics
- Chris J. Oates
- T. Sullivan
- Jon Cockayne
- D. Spiegel
- H. Rein
- Mark A. Girolami
- Ying Nian Wu
- Marcelo Pereyra
Citations in the corpus
- ias15: a fast, adaptive, high-order integrator for gravitational dynamics, accurate to machine precision over a billion orbits (2014, methodology): “Whereas the Gauß-Radau scheme itself had been used for orbital mechanics before (Everhart 1985; Chambers & Migliorini 1997; Hairer et al. 2008), we develop three approaches to significantly improve its accuracy and usefulness for astrophysical applications.”
- Probabilistic Meshless Methods for Partial Differential Equations and Bayesian Inverse Problems (2016, methodology): “The PN approach to numerical solution of PDEs initially concerned models for rounding error [Hull and Swenson, 1966] and indeed this is still of interest [Mosbach and Turner, 2009, Hairer et al., 2008].”