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Order and stability of parallel methods for stiff problems
Advances in Computational Mathematics, 1997The author explores a special class of general linear methods for stiff problems, introduced earlier by himself and known in the literature as diagonally implicit multistage integration methods of type 4. This is a preliminary study of such methods. A particular choice of the coefficient matrix allows the parallel evaluation of the stages.
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Mode pushing and stiff convergent problems
IEEE Transactions on Magnetics, 1983Stiff Convergent Problems are the ones that have some modes that converge very slowly when solved using iterative techniques. Mode pushing (MP), superimposed on these techniques, is a method of accelerating convergence of only these modes. This paper discusses the theory of the MP method and a practical algorithm which estimates the stiff convergent ...
M. Torfeh-Isfahani, E. Della Torre
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Sensitivity Analysis of Stiff and Non-Stiff Initial-Value Problems
1998The solution y(t, t 0, y 0) of an initial-value problem (IVP) y(t) = f(t, y, p) with initial value y(t 0) = y 0 at a point t is a differentiable function of the initial value y 0 and the parameter vector p, provided f y and f p are continuous. The computation of the derivatives of y(t, t 0, y 0) plays an important role in the efficient numerical ...
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A Stiff Problem: Stationary Waves and Approximations
2019In this paper we revisit a Stiff problem which deals with the asymptotic behavior of the eigenvalues and eigenfunctions of a problem for the Laplace operator posed in a domain Ω of \(\mathbb {R}^N\): this domain is composed of two parts in which the stiffness constants are of different order of magnitude, namely, O(e) and O(1), respectively, where e is
Delfina Gómez +2 more
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High Order A-stable Numerical Methods for Stiff Problems
Journal of Scientific Computing, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A stiffness method for elastic-plastic problems
International Journal of Mechanical Sciences, 1965Abstract A numerical method is suggested for the solution of elastic-plastic problems. A stiffness concept is introduced which enables the equilibrium equations to be expressed in terms of displacements. The use of stiffness coefficients removes the need to trace the expansion of the elastic-plastic boundary during the actual solution of the ...
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Mathematical Study of a Lagrange-Multiplier Technique for Stiff Transport Problems
Multiscale Modeling and Simulation, 2021Claudia Negulescu
exaly