Titlebook: Difference Schemes with Operator Factors; A. A. Samarskii,P. P. Matus,P. N. Vabishchevich Book 2002 Springer Science+Business Media Dordre

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Difference Schemes with Operator Factors,When solving non-stationary problems of mathematical physics, a particular attention is paid to schemes with weighted factors. Assume that we solve the Cauchy problem for the first-order evolution equation.where . (.),.. are given, whilst .(.) is the unknown function with values in a finite-dimensional Hilbert space ..

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Three-Level Difference Schemes,Along with two-level difference schemes, three-level schemes are often also used to solve numerically non-stationary problems of mathematical physics. Such difference schemes are typical if we consider second-order evolution equations, one example of which is the equation of oscillations.

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Three-Level Schemes with Operator Factors,Three-level schemes with weights are very often used for finding the numerical solution of the Cauchy problem for the second-order evolution equation . with a constant operator . = .* > 0.

乞讨

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Fundamental Theories of Physicshe Cauchy problem for a system of ordinary differential equations which is considered in a Hilbert grid space. The discretisation in time yields an operator-difference scheme. Let us mention some most important directions in the development of the theory of operator-difference schemes for nonstation

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Tim Vleugels,J. Baert,E. van Bockstaeleanalysis of numerical methods. The stability of difference schemes for linear problems with respect to the initial data and the right hand side, and also coefficient (strong) stability ensure the well posedness of a discrete problem, in other words, its right to exist.

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Maura Cesaria,Baldassare Di Bartoloin regular simpler domains. The first of them (the method of fictitious domains) is based on imbedding the original irregular domain into a regular domain with some continuations of the coefficients of the original equation into the adjoining domain and corresponding choice of boundary conditions on

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