High degree precision decomposition method  for the evolution 
problem with an operator under  a split form

Zurab Gegechkori; Jemal Rogava; Mikheil Tsiklauri

Displaying similar documents to “High degree precision decomposition method for the evolution problem with an operator under a split form”

The fourth order accuracy decomposition scheme for an evolution problem

Zurab Gegechkori, Jemal Rogava, Mikheil Tsiklauri (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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In the present work, the symmetrized sequential-parallel decomposition method with the fourth order accuracy for the solution of Cauchy abstract problem with an operator under a split form is presented. The fourth order accuracy is reached by introducing a complex coefficient with the positive real part. For the considered scheme, the explicit estimate is obtained.

High-degree precision decomposition method for an evolution problem.

Gegechkori, Z., Rogava, J., Tsiklauri, M. (2001)

Computational Methods in Applied Mathematics

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Existence and uniqueness of solutions to dynamical unilateral contact problems with coulomb friction: the case of a collection of points

Alexandre Charles, Patrick Ballard (2014)

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

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This study deals with the existence and uniqueness of solutions to dynamical problems of finite freedom involving unilateral contact and Coulomb friction. In the frictionless case, it has been established [P. Ballard, 154 (2000) 199–274] that the existence and uniqueness of a solution to the Cauchy problem can be proved under the assumption that the data are analytic, but not if they are assumed to be only of class . Some years ago, this finding was extended [P. Ballard...

A Mathematical and Computational Framework for Reliable Real-Time Solution of Parametrized Partial Differential Equations

Christophe Prud&amp;amp;#039;homme, Dimitrios V. Rovas, Karen Veroy, Anthony T. Patera (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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We present in this article two components: these components can in fact serve various goals independently, though we consider them here as an ensemble. The first component is a technique for the prediction of linear functional outputs of elliptic (and parabolic) partial differential equations with affine parameter dependence. The essential features are () (provably) rapidly convergent global reduced–basis approximations — Galerkin projection onto a space spanned by...