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Taschenbuch. Zustand: Neu. Difference Schemes with Operator Factors | A. A. Samarskii (u. a.) | Taschenbuch | x | Englisch | 2010 | Springer | EAN 9789048161188 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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.
Zustand: New. Translator(s): Nash, S. G. Num Pages: 242 pages, biography. BIC Classification: PBF; PBKJ. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 254 x 178 x 17. Weight in Grams: 711. . 1988. Hardback. . . . . Books ship from the US and Ireland.
Sprache: Englisch
Verlag: Springer Netherlands, Springer Netherlands, 2002
ISBN 10: 1402008562 ISBN 13: 9781402008566
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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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.
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ISBN 10: 3110196662 ISBN 13: 9783110196665
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In den WarenkorbZustand: New. 1995. Hardcover. . . . . . Books ship from the US and Ireland.
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In den WarenkorbGebunden. Zustand: New. Part of a two-volume work which addresses subjects applicable to heat transfer by conduction, convection and radiation in a unified way, this particular text represents a comprehensive mathematical formulation for modelling physics.Über den Aut.
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Zustand: Gut. Zustand: Gut | Seiten: 432 | Sprache: Englisch | Produktart: Bücher | This book, which is published in two volumes, studies heat transfer problems by modern numerical methods. Basic mathematical models of heat transfer are considered. The main approaches, to the analysis of the models by traditional means of applied mathematics are described. Numerical methods for the approximate solution of steady- and unsteady state heat conduction problems are discussed. Investigation of difference schemes is based on the general stability theory. Much emphasis is put on problems in which phase transitions are involved and on heat and mass transfer problems. Problems of controlling and optimizing heat processes are discussed in detail. These processes are described by partial differential equations, and the main approaches to numerical solution of the optimal control problems involved here are discussed. Aspects of numerical solution of inverse heat exchange problems are considered. Much attention is paid to the most important applied problems of identifying coefficients and boundary conditions for a heat transfer equation. The first volume considered the mathematical models of heat transfer, classic analytical solution methods for heat conduction problems, numerical methods for steady-state and transient heat conduction problems, and phase change problems. In this second volume, we present solution techniques for complicated heat transfer problems (radiation, convection, thermoelasticity, thermal process control and inverse problems) as well as some examples of solving particular heat transfer problems.
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In den WarenkorbZustand: New. Part of a two-volume work which addresses subjects applicable to heat transfer by conduction, convection and radiation in a unified way, this particular text represents a comprehensive mathematical formulation for modelling physics. Num Pages: 418 pages, line drawings. BIC Classification: PBWH; TBJ; TGBN; TGMB. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 236 x 162 x 29. Weight in Grams: 756. . 1996. Volume 1. Hardcover. . . . . Books ship from the US and Ireland.