Results 221 to 230 of about 10,782 (261)

A Method for Solving Certain Stiff Differential Equations

SIAM Journal on Applied Mathematics, 1978
Certain differential equations that arise when solving chemical kinetics problems which have widely differing time constants are analyzed by a method that implicitly separates the fast reacting components from the remaining components of the system.
Clasen, Richard J., Garfinkel, David, Shapiro, Norman Z., Roman, Gruia- Catalin   +3 more
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Chebyshev solution for stiff delay differential equations

International Journal of Computer Mathematics, 1998
A method based on El-Gendi [1974], is given for the numerical solution of stiff delay differential equations (DDES) in the form of Chebyshev series. The method can be applied to stiff system of (DDES) with single delay as well as, with several delays. Numerical examples are given.
A. El-Safty, M. A. Hussien
exaly   +2 more sources

Stiffness and Non-Stiff Differential Equation Solvers

1975
The effects of stiffness are investigated for production codes for solving non-stiff ordinary differential equations. First, a practical view of stiffness as related to methods for non-stiff problems is described. Second, the interaction of local error estimators, automatic step size adjustment, and stiffness is studied and shown normally to prevent ...
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Asymptotic error expansions for stiff equations: Applications

Computing, 1990
In various previous papers the authors have studied the structure of the global discretization error for: the implicit Euler method [SIAM J. Numer. Anal. 27, 67-104 (1990; reviewed above)], the implicit midpoint rule and the implicit trapezoidal rule [Numer. Math. 56, 469-499 (1989; Zbl 0684.65075) and Report Nr. 77/88, Inst.
Winfried Auzinger, Reinhard Frank, Gabriela Kirlinger   +2 more
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General Linear Methods for Stiff Differential Equations

BIT Numerical Mathematics, 2001
A general class of numerical methods for stiff initial value problems that contains both the linear multistep and Runge-Kutta methods is considered. The aim of the author is to obtain particular methods that combine the low computational cost shared by the standard backward differential formula (BDF) methods of the class of multistep methods with the ...
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Selective Computation—VI: Stiff Differential equations

Nonlinear Analysis: Theory, Methods & Applications, 1979
IN THIS paper, we wish to consider stiff differential equations. This is a very serious problem computationally and very interesting analytically. It is relevant to selective computation since stiffness is very significant in case we want to do long term integration. In Section 2, we make some comments about the origins of stiffness.
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On an L-stable method for stiff differential equations

Information Processing Letters, 1977
exaly   +3 more sources

Difference Methods for Stiff Ordinary Differential Equations

SIAM Journal on Numerical Analysis, 1978
Consider the initial value problem for a first order system of stiff ordinary differential equations.
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An exact solution to Einstein’s equations with a stiff equation of state

Journal of Mathematical Physics, 1978
A solution to the equations of general relativity is given which is spherically-symmetric and nonstatic with an inhomogeneous density profile ρ and a pressure p given by the stiff equation of state p=ρc2. The solution may be of use in representing collapsed astrophysical systems or the early stages of an inhomogeneous cosmology.
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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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