Error Estimators For Stiff Differential Equations

CMPSC/Math 451. April 15, 2015.  Stiff systems of ODEs. Implicit vs explicit method. Wen Shen

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When solving ordinary differential equations numerically, the local error is estimated at each step. In the classical situation of 'small' step sizes, it is clear what is.

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Conf. on the Numerical Solution of Differential Equations, Lecture Notes in Mathematics No. 109, Springer Verlag, 1969, pp. 87-111. L. F. Shampine , H. A. Watts, Algorithm 504: GERK: Global Error Estimation For Ordinary Differential.

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On Oct 1, 1977 R. Sacks-Davis published: Error Estimates for a Stiff Differential Equation Procedure. Error estimators for stiff differential equations

Global Error Estimation for Ordinary Differential Equations. •. 173 the principle of. not being valid (step sizes too large), mildly stiff differential equations, global.

Numerical Methods for Partial Differential Equations – A recovery-based error estimator for finite volume methods of interface problems: Conforming linear elements Next article in issue: SERK2v2: A new second-order stabilized explicit Runge-Kutta method for stiff problems Next article in.

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FOR STIFF ORDINARY DIFFERENTIALEQUATIONS* (Y," ",Y4) – packages for the numerical solution of stiff ordinary differential equations. Error estimates for (0.3) in the case of nonstiff ordinarydifferential equations.

When solving ordinary differential equations numerically, the local error is estimated at each step. In the classical situation of small step sizes, it is clear what is required of the error estimators. Stiff problems are solved with large.

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Apr 13, 2016. Global error estimation in time stepping has a long history [1,29–33,35,51,57,58, 60,65. Stiff differential equations are not directly addressed.

Alam, J.M., Kevlahan, N.K.R., Vasilyev, O.V.: Simultaneous spacetime adaptive wavelet solution of nonlinear parabolic differential equations. J.

On Oct 1, 1984 Lawrence F. Shampine (and others) published: Error estimators for stiff differential equations

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The effects of stiffness are investigated for production codes for solving non-stiff. differential equations. First, a practical view of stiffness as related to methods for non-stiff problems is described. Second, the interaction of local.

The aim of this paper is to develop an hp-version a posteriori error analysis for the time discretization of parabolic problems by the continuous Galerkin (cG) and.

When solving ordinary differential equations numerically, the local error is estimated at each step. In the classical situation of ‘small’ step sizes, it is clear what is required of the error estimators. Stiff problems are solved with ‘large’.

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Journal of Computational and Applied Mathematics 11 (1984) 197-207 197 North-Holland Error estimators for stiff differential equations Lawrence F. SHAMPINE and.

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