Results 271 to 280 of about 7,385 (298)

On The Solution of Stiff Ordinary Differential Equations

AIP Conference Proceedings, 2008
In this paper, we considered new method based on simplex integrals for stiff ordinary differential equations. In contrast to Kuntzmann‐Butcher method, this method requires the solution of less simultaneous implicit equations. And numerical examples illustrate the efficiency of this technique.
Y. Zhou, S. Xiang, Michail D. Todorov
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Stiff Systems of Ordinary Differential Equations

2003
The experience of numerical integration of Cauchy problems for ordinary differential equations shows that it is especially the stiff systems that require a special numerical methods. In this chapter the effect of λ-transformations on such systems of ordinary differential equations and on methods of their integration will be considered.
V. I. Shalashilin, E. B. Kuznetsov
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One-Leg Formulas for Stiff Ordinary Differential Equations

SIAM Journal on Scientific and Statistical Computing, 1984
Some one-leg formulae for stiff ordinary differential equations, that are a generalization of the backward differentiation formulae, are obtained. Applied to the standard scalar test problem, \(y'=\lambda y\), with step length h, these new formulae give large regions of instability in the right half-plane \(Re(h\lambda)>0\).
Watanabe, Daniel S., Sheikh, Qasim M.
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STIFF DIFFERENTIAL EQUATIONS

Annual Review of Biophysics and Bioengineering, 1977
D, Garfinkel, C B, Marbach, N Z, Shapiro
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Solving stiff differential equations for simulation

Mathematics and Computers in Simulation, 1981
Abstract Computer simulation of dynamic systems very often leads to the solution of a set of stiff ordinary differential equations. The solution of this set of equations involves the eigenvalues of its Jacobian matrix. The greater the spread in eigenvalues, the more time consuming the solutions become when existing numerical methods are employed ...
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Linear Stiff Differential Equations

Journal of the Franklin Institute, 1971
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Integration of partitioned stiff systems of ordinary differential equations

1996
Partitioned systems of ordinary differential equations are in qualitative terms characterized as monotonically max-norm stable if each sub-system is stable and if the couplings from one sub-system to the others are weak.
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Some Properties of Algorithms for Stiff Differential Equations

IMA Journal of Applied Mathematics, 1975
Robertson, H. H., Williams, J.
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Review Paper: Efficient numerical methods for the solution of stiff initial-value problems and differential algebraic equations

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2003
J R Cash
exaly  

Error Estimates and Adaptive Time-Step Control for a Class of One-Step Methods for Stiff Ordinary Differential Equations

SIAM Journal on Numerical Analysis, 1988
Claes Johnson
exaly