Construction of Runge–Kutta type methods for solving ordinary differential equations

Solving ordinary differential equations I. nonstiff problems

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The Numerical Analysis of Ordinary Differential Equations; Runge-Kutta and General Linear Methods.

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Implicit Runge-Kutta processes

J. C. Butcher · Mathematics of Computation · 1964 · 679 citations

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Lie-Poisson Hamilton-Jacobi theory and Lie-Poisson integrators

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A new class of energy-preserving numerical integration methods

G. Quispel, David McLaren · Journal of Physics A Mathematical and Theoretical · 2008 · 446 citations

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