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On consistency, stability and convergence of staggered solution procedures

Ewa Turska, Bernardo A. Schrefler (1994)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

The simultaneous and staggered procedures of solving a partitioned form of a coupled system of ordinary differential equations are presented. Formulas for errors are compared. Counter-examples for convergence with a constant number of iterations at each time step are given.

On D-stability and B-stability.

M. van Veldhuizen (1983)

Numerische Mathematik

On Improving the Absolute Stability of Local Extrapolation

J.R. Cash (1982)

Numerische Mathematik

On numerical solution of a mildly nonlinear turning point problem

Relja Vulanović (1990)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

On symmetrizers for Gauss methods.

J.C. Butcher, R.P.K. Chan (1991/1992)

Numerische Mathematik

On the Asymptotic Stability of ...-Methods for Delay Differential Equations.

M. Calvo, T. Grande (1989)

Numerische Mathematik

On the convergence of multistep methods for nonlinear stiff differential equations.

C. Lubich (1990/1991)

Numerische Mathematik

On the discretization of a partial differential equation in the neighborhood of a periodic orbit.

Francois Alouges, Arnaud Debussche (1993)

Numerische Mathematik

On the existence of solutions and one-step method for functional-differential equations with parameters

Tadeusz Jankowski (1994)

Czechoslovak Mathematical Journal

On the necessary and sufficient conditions for the convergence of the difference schemes for the general boundary value problem for the linear systems of ordinary differential equations

Malkhaz Ashordia (2021)

Mathematica Bohemica

We consider the numerical solvability of the general linear boundary value problem for the systems of linear ordinary differential equations. Along with the continuous boundary value problem we consider the sequence of the general discrete boundary value problems, i.e. the corresponding general difference schemes. We establish the effective necessary and sufficient (and effective sufficient) conditions for the convergence of the schemes. Moreover, we consider the stability of the solutions of general...

On the Order Conditions of Runge-Kutta Methods with Higher Derivatives.

E. Gekeler, R. Widman (1986/1987)

Numerische Mathematik

On the Relation Between Algebraic Stability and B-Convergence for Runge-Kutta Methods.

J.F.B.M. Kraaijevanger, K. Dekker, ... (1990)

Numerische Mathematik

On the sharpness of a superconvergence estimate in connection with one-dimensional Galerkin-methods.

Goebbels, St.J. (1999)

Journal of Inequalities and Applications [electronic only]

On the Stability of Backward Differentiation Methods.

E. Gekeler (1982)

Numerische Mathematik

On the stability of the Ritz procedure for nonlinear two-point boundary value problems

Schiop, Alexandru I. (1979)

Portugaliae mathematica

On the tangential velocity arising in a crystalline approximation of evolving plane curves

Shigetoshi Yazaki (2007)

Kybernetika

In a crystalline algorithm, a tangential velocity is used implicitly. In this short note, it is specified for the case of evolving plane curves, and is characterized by using the intrinsic heat equation.

Currently displaying 1 – 20 of 23

Page 1 Next

Displaying 1 – 20 of 23

On consistency, stability and convergence of staggered solution procedures

On D-stability and B-stability.

On Improving the Absolute Stability of Local Extrapolation

On numerical solution of a mildly nonlinear turning point problem

On symmetrizers for Gauss methods.

On the Asymptotic Stability of ...-Methods for Delay Differential Equations.

On the convergence of multistep methods for nonlinear stiff differential equations.

On the discretization of a partial differential equation in the neighborhood of a periodic orbit.

On the existence of solutions and one-step method for functional-differential equations with parameters

On the necessary and sufficient conditions for the convergence of the difference schemes for the general boundary value problem for the linear systems of ordinary differential equations

On the Order Conditions of Runge-Kutta Methods with Higher Derivatives.

On the Relation Between Algebraic Stability and B-Convergence for Runge-Kutta Methods.

On the sharpness of a superconvergence estimate in connection with one-dimensional Galerkin-methods.

On the Stability of Backward Differentiation Methods.

On the stability of the Ritz procedure for nonlinear two-point boundary value problems

On the tangential velocity arising in a crystalline approximation of evolving plane curves

On the Uniform Power-Boundedness of a Family of Matrices and the applications to One-Leg and Linear Multistep Methods.

On the unique solvability of the Runge-Kutta equations.

On the Zero Stability of the Variable Order Variable Stepsize BDF-Formulas.

One parameter family of linear difference equations and the stability problem for the numerical solution of ODEs.

Currently displaying 1 – 20 of 23