A. A. Samarskii:Difference Schemes with Operator Factors
- pocketboek 2010, ISBN: 9048161185
[EAN: 9789048161188], Neubuch, [SC: 0.0], [PU: Springer Netherlands], MATHEMATICA; COMPUTATIONALMATHEMATICS; FINITEELEMENTMETHOD; NUMERICALMETHOD; PROBLEMSOLVING; STABILITY; PARTIALDIFFER… Meer...
[EAN: 9789048161188], Neubuch, [SC: 0.0], [PU: Springer Netherlands], MATHEMATICA; COMPUTATIONALMATHEMATICS; FINITEELEMENTMETHOD; NUMERICALMETHOD; PROBLEMSOLVING; STABILITY; PARTIALDIFFERENTIALEQUATIONS, Druck auf Anfrage Neuware -Two-and three-level difference schemes for discretisation in time, in conjunction with finite difference or finite element approximations with respect to the space variables, are often used to solve numerically non stationary problems of mathematical physics. In the theoretical analysis of difference schemes our basic attention is paid to the problem of sta bility of a difference solution (or well posedness of a difference scheme) with respect to small perturbations of the initial conditions and the right hand side. The theory of stability of difference schemes develops in various di rections. The most important results on this subject can be found in the book by A.A. Samarskii and A.V. Goolin [Samarskii and Goolin, 1973]. The survey papers of V. Thomee [Thomee, 1969, Thomee, 1990], A.V. Goolin and A.A. Samarskii [Goolin and Samarskii, 1976], E. Tad more [Tadmor, 1987] should also be mentioned here. The stability theory is a basis for the analysis of the convergence of an approximative solu tion to the exact solution, provided that the mesh width tends to zero. In this case the required estimate for the truncation error follows from consideration of the corresponding problem for it and from a priori es timates of stability with respect to the initial data and the right hand side. Putting it briefly, this means the known result that consistency and stability imply convergence. 400 pp. Englisch, Books<
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A. A. Samarskii:Difference Schemes with Operator Factors
- pocketboek 2010, ISBN: 9048161185
[EAN: 9789048161188], Neubuch, [PU: Springer Netherlands], MATHEMATICA; COMPUTATIONALMATHEMATICS; FINITEELEMENTMETHOD; NUMERICALMETHOD; PROBLEMSOLVING; STABILITY; PARTIALDIFFERENTIALEQUAT… Meer...
[EAN: 9789048161188], Neubuch, [PU: Springer Netherlands], MATHEMATICA; COMPUTATIONALMATHEMATICS; FINITEELEMENTMETHOD; NUMERICALMETHOD; PROBLEMSOLVING; STABILITY; PARTIALDIFFERENTIALEQUATIONS, Druck auf Anfrage Neuware -Two-and three-level difference schemes for discretisation in time, in conjunction with finite difference or finite element approximations with respect to the space variables, are often used to solve numerically non stationary problems of mathematical physics. In the theoretical analysis of difference schemes our basic attention is paid to the problem of sta bility of a difference solution (or well posedness of a difference scheme) with respect to small perturbations of the initial conditions and the right hand side. The theory of stability of difference schemes develops in various di rections. The most important results on this subject can be found in the book by A.A. Samarskii and A.V. Goolin [Samarskii and Goolin, 1973]. The survey papers of V. Thomee [Thomee, 1969, Thomee, 1990], A.V. Goolin and A.A. Samarskii [Goolin and Samarskii, 1976], E. Tad more [Tadmor, 1987] should also be mentioned here. The stability theory is a basis for the analysis of the convergence of an approximative solu tion to the exact solution, provided that the mesh width tends to zero. In this case the required estimate for the truncation error follows from consideration of the corresponding problem for it and from a priori es timates of stability with respect to the initial data and the right hand side. Putting it briefly, this means the known result that consistency and stability imply convergence. 400 pp. Englisch, Books<
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Matus, P. P.;Vabishchevich, Petr N.;Samarskii, A. A.:Difference Schemes with Operator Factors
- pocketboek 2010, ISBN: 9789048161188
[ED: Softcover], [PU: Springer / Springer Netherlands], Two-and three-level difference schemes for discretisation in time, in conjunction with finite difference or finite element approxim… Meer...
[ED: Softcover], [PU: Springer / Springer Netherlands], Two-and three-level difference schemes for discretisation in time, in conjunction with finite difference or finite element approximations with respect to the space variables, are often used to solve numerically non stationary problems of mathematical physics. In the theoretical analysis of difference schemes our basic attention is paid to the problem of sta bility of a difference solution (or well posedness of a difference scheme) with respect to small perturbations of the initial conditions and the right hand side. The theory of stability of difference schemes develops in various di rections. The most important results on this subject can be found in the book by A.A. Samarskii and A.V. Goolin [Samarskii and Goolin, 1973]. The survey papers of V. Thomee [Thomee, 1969, Thomee, 1990], A.V. Goolin and A.A. Samarskii [Goolin and Samarskii, 1976], E. Tad more [Tadmor, 1987] should also be mentioned here. The stability theory is a basis for the analysis of the convergence of an approximative solu tion to the exact solution, provided that the mesh width tends to zero. In this case the required estimate for the truncation error follows from consideration of the corresponding problem for it and from a priori es timates of stability with respect to the initial data and the right hand side. Putting it briefly, this means the known result that consistency and stability imply convergence.
2010. x, 384 S. X, 384 p. 235 mm
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Difference Schemes with Operator Factors
- nieuw boekISBN: 9789048161188
Two-and three-level difference schemes for discretisation in time, in conjunction with finite difference or finite element approximations with respect to the space variables, are often us… Meer...
Two-and three-level difference schemes for discretisation in time, in conjunction with finite difference or finite element approximations with respect to the space variables, are often used to solve numerically non stationary problems of mathematical physics. In the theoretical analysis of difference schemes our basic attention is paid to the problem of sta bility of a difference solution (or well posedness of a difference scheme) with respect to small perturbations of the initial conditions and the right hand side. The theory of stability of difference schemes develops in various di rections. The most important results on this subject can be found in the book by A.A. Samarskii and A.V. Goolin [Samarskii and Goolin, 1973]. The survey papers of V. Thomee [Thomee, 1969, Thomee, 1990], A.V. Goolin and A.A. Samarskii [Goolin and Samarskii, 1976], E. Tad more [Tadmor, 1987] should also be mentioned here. The stability theory is a basis for the analysis of the convergence of an approximative solu tion to the exact solution, provided that the mesh width tends to zero. In this case the required estimate for the truncation error follows from consideration of the corresponding problem for it and from a priori es timates of stability with respect to the initial data and the right hand side. Putting it briefly, this means the known result that consistency and stability imply convergence. Books > Science & Nature > Math & Physics > Mathematics List_Books<
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Samarskii, A. A.; Vabishchevich, P. N.; Matus, P. P.:Difference Schemes with Operator Factors
- pocketboek 2010, ISBN: 9048161185
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Softcover reprint of hardcover 1st ed. 2002 Kartoniert / Broschiert Differentialrechnung und -gleichungen, Numerische Mathematik, Angewandte Mathematik, Mathematische Modellierung, Math… Meer...
Softcover reprint of hardcover 1st ed. 2002 Kartoniert / Broschiert Differentialrechnung und -gleichungen, Numerische Mathematik, Angewandte Mathematik, Mathematische Modellierung, Mathematik für Ingenieure, Mathematica; computationalmathematics; finiteelementmethod; numericalmethod; Problemsolving; stability; PartialDifferentialEquations, mit Schutzumschlag 11, [PU:Springer Netherlands; Springer Netherland]<
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