Results 201 to 210 of about 81,957 (247)
Some of the next articles are maybe not open access.
Runge–Kutta methods in elastoplasticity
Applied Numerical Mathematics, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Büttner, Jörg, Simeon, Bernd
openaire +1 more source
Efficient symplectic Runge–Kutta methods
Applied Mathematics and Computation, 2006The authors consider the efficiency of symplectic Runge-Kutta methods with real eigenvalues for the numerical integration of initial value problems for systems of ordinary differential equations.
Chan, R. P. K., Liu, Hongyu, Sun, Geng
openaire +2 more sources
Runge-Kutta methods: some historical notes
Applied Numerical Mathematics, 1996We cite from the abstract: ``\(\ldots\) This centenary history of Runge-Kutta methods contains an appreciation of the early work of Runge, Heun, Kutta, and Nyström and a survey of some significant developments of these methods over the last hundred years.
Butcher, J.C., Wanner, Gerhard
openaire +2 more sources
Interpolation for Runge–Kutta Methods
SIAM Journal on Numerical Analysis, 1985The author discusses a new method for interpolation between mesh points of Runge-Kutta algorithms for the approximate solution of ordinary differential equations. The method is shown to fall under the classification of scaled Runge-Kutta algorithms as considered by \textit{M. K. Horn} [ibid. 20, 558-568 (1983; Zbl 0511.65048)].
openaire +2 more sources
1973
One-step methods (see Def. 2.1.8) form a particularly simple class of f. s. m. for IVP 1. Among these, a certain class of methods has commonly been associated with the names of C. Runge and W. Kutta and is widely used. These “Runge-Kutta methods” (RK-methods) are 1-step m+1-stage methods in the sense of Def. 2.1.10.
openaire +1 more source
One-step methods (see Def. 2.1.8) form a particularly simple class of f. s. m. for IVP 1. Among these, a certain class of methods has commonly been associated with the names of C. Runge and W. Kutta and is widely used. These “Runge-Kutta methods” (RK-methods) are 1-step m+1-stage methods in the sense of Def. 2.1.10.
openaire +1 more source
Embedded Pseudo-Runge–Kutta Methods
SIAM Journal on Numerical Analysis, 1991This paper deals with embedded pseudo-Runge-Kutta methods and their use in step size control without additional function evaluations. There is a report on results of a number of numerical experiments.
openaire +1 more source
Extrapolated stabilized explicit Runge–Kutta methods
Journal of Computational Physics, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
J. Martín-Vaquero, B. Kleefeld
openaire +2 more sources
Linearly-implicit Runge-Kutta methods based on implicit Runge-Kutta methods
Applied Numerical Mathematics, 1993Linearly-implicit Runge-Kutta methods (LIRKM), based on explicit Runge- Kutta schemes, are compared with implicit Runge-Kutta methods (IRKM) which require the solution of nonlinear equations by Newton-like methods. In particular, the consistency of LIRKM is investigated and the numerical expense of IRKM and LIRKM is considered.
openaire +1 more source
BIT, 1985
A Runge-Kutta method (for the numerical solution of ordinary differential equations) is called reducible if there exists a method with ...
openaire +1 more source
A Runge-Kutta method (for the numerical solution of ordinary differential equations) is called reducible if there exists a method with ...
openaire +1 more source
Positivity of Runge-Kutta and diagonally split Runge-Kutta methods
Applied Numerical Mathematics, 1998The author investigates positivity of general Runge-Kutta and diagonally split Runge-Kutta methods for the numerical solution of positive initial value problems for ordinary differential equations. Conditions for the maximal stepsize in term of the radius of positivity of the Runge-Kutta method which guarantees positivity are given.
openaire +2 more sources