Results 71 to 80 of about 143 (130)

Modified Order Theory For Partitioned Runge-Kutta And Runge-Kutta-Nyström Methods

open access: yes, 1996
A parametrization technique for deriving general symplectic and/or selfadjoint (symmetric) Runge-Kutta methods of standard type was discussed in a recent paper by the authors.
M. Sofroniou, W. Oevel
core  

Generalizations and error analysis of the iterative operator splitting method

open access: yesOpen Mathematics, 2013
Ladics Tamás, Faragó István
doaj   +1 more source

The Matlab ODE Suite

open access: yes
. This paper describes mathematical and software developments for a suite of programs for solving ordinary differential equations in Matlab. Key words.
Ode Suite   +4 more
core  

Estimating Waveform Relaxation Convergence

open access: yes, 1993
. Critical limitations of the waveform relaxation method concern the unsolved problems of estimating convergence and controlling the iteration. In this paper, waveform relaxation is applied to a linear, second-order model system and is studied in the ...
B. Leimkuhler
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Topological index calculation of DAEs in circuit simulation

open access: yes, 1997
. Electric circuits are present in a number of applications, e.g. in home computers, television, credit cards, electric power networks, etc. The development of integrated circuit requires numerical simulation. Modern modeling techniques like the Modified
Caren Tischendorf
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Richardson Extrapolation combined with the sequential splitting procedure and the θ-method

open access: yesOpen Mathematics, 2012
Zlatev Zahari   +2 more
doaj   +1 more source

Composition Constants for Raising the Orders of Unconventional Schemes for Ordinary Differential Equations

open access: yes, 1997
Many models of physical and chemical processes give rise to ordinary differential equations with special structural properties that go unexploited by general-purpose software designed to solve numerically a wide range of differential equations.
Ren-Cang Li, William Kahan
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Half-explicit Runge-Kutta methods with explicit stages for differential-algebraic systems of index 2

open access: yes, 1998
Usually the straightforward generalization of explicit Runge--Kutta methods for ordinary differential equations to half-explicit methods for differential-algebraic systems of index 2 results in methods of order q 2 ([8]).
M. Arnold, Arnold, M.
core  

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