Results 171 to 180 of about 1,700 (198)

Adaptive Integration of Stiff ODE

2015
the accuracy of adaptive integration algorithms for solving stiff ODE is investigated. The analysis is done by comparing the discrete and exact amplification factors of the equations.It is proved that the usage of stiffness number of the Jacobian matrix is sufficient in order to estimate the complexity of solving ODE problems by explicit integration ...
Čiegis, Raimondas, Suboč, Olga
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Improving the performance of a code for solving stiff systems of odes

Applied Numerical Mathematics, 1989
As a part of the solution process LSODE, a widely used code for solving stiff systems of ordinary differential equations, the Jacobian of f must be evaluated which usually requires at least N additional evaluations of f. This can be a dominant cost in backward differentiation formula codes.
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Stiff ODE Initial Value Problems

2011
This chapter deals with stiff initial value problems for ODEs $$\dot{x}=F(x), \,x(0)={x_0}$$ The discretization of such problems is known to involve the solution of nonlinear systems per each discretization step–in one way or the other.
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Composite Methods for Numerical Solution of Stiff Systems of ODE’s

SIAM Journal on Numerical Analysis, 1984
This paper examines the sequential application of either Obrechkoff methods or of implicit Runge-Kutta methods with a predetermined ratio of stepsizes in the solution of stiff ordinary differential equations. Under some conditions such composite methods are shown to have higher order and better stability properties than the constituent methods.
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A stiff ODE preconditioner based on Newton linearization

Applied Numerical Mathematics, 1996
The paper describes a higher performance preconditioner suitable for problems in diurnal atmospheric chemistry. This preconditioner is compared to the Jacobi preconditioned method. Comparisons are performed for a small 2 species system, a box model, and a full 3-D chemical-radiative-transport model.
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(m, k)-schemes for stiff systems of ODEs and DAEs

Сибирский журнал вычислительной математики, 2020
Levykin, A. I., Novikov, A. E., Novikov, E. A.   +2 more
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Generalized Enright block methods for Stiff ODEs

Journal of the Nigerian Association of Mathematical Physics, 2012
A general theoretical background for a class of parallel second derivativemethods is introduced. A parallel block generalization of the Enright second derivative block methods are developed and their stabilities are investigated by means of root locus plots. The resultant parallel methods are found to be L–stable for block size k £ 6 and are
Muka, KO, Ikhile, MNO
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Stiffness of ODEs

2020
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Stiff ODEs

2020
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A Family of Linear Multistep Methods for the Solution of Stiff and Non-stiff ODEs

IMA Journal of Numerical Analysis, 1982
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