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Numerical Treatment of the Navier-Stokes Equations: Proceedings of the Fifth GAMM-Seminar, Kiel, January 20–22, 1989: 30 5 (Notes on Numerical Fluid Mechanics and Multidisciplinary Design, 30 5) - Softcover
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The most frequently used method for the numerical integration of parabolic differential equa tions is the method of lines, where one first uses a discretization of space derivatives by finite differences or finite elements and then uses some time-stepping method for the the solution of resulting system of ordinary differential equations. Such methods are, at least conceptually, easy to perform. However, they can be expensive if steep gradients occur in the solution, stability must be controlled, and the global error control can be troublesome. This paper considers a simultaneaus discretization of space and time variables for a one-dimensional parabolic equation on a relatively long time interval, called 'time-slab'. The discretization is repeated or adjusted for following 'time-slabs' using continuous finite element approximations. In such a method we utilize the efficiency of finite elements by choosing a finite element mesh in the time-space domain where the finite element mesh has been adjusted to steep gradients of the solution both with respect to the space and the time variables. In this way we solve all the difficulties with the classical approach since stability, discretization error estimates and global error control are automatically satisfied. Such a method has been discussed previously in [3] and [4]. The related boundary value techniques or global time integration for systems of ordinary differential equations have been discussed in several papers, see [12] and the references quoted therein.
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Numerical Treatment of the Navier-Stokes Equations (Notes on Numerical Fluid Mechanics): Proceedings of the Fifth GAMM-Seminar, Kiel, January 20?22, . Mechanics and Multidisciplinary Design, 30 5)
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Friedrich Vieweg & Sohn Verlagsgesellschaft mbH, 1990
ISBN 10: 3528076305
ISBN 13: 9783528076306
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Numerical Treatment of the Navier-Stokes Equations: Proceedings of the Fifth Gamm-Seminar, Kiel, January 2022, 1989: 30 5 (Notes on Numerical Fluid Mechanics and Multidisciplinary Design, 30 5)
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Numerical Treatment of the Navier-Stokes Equations (Notes on Numerical Fluid Mechanics) (Notes on Numerical Fluid Mechanics and Multidisciplinary Design)
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Friedrich Vieweg & Sohn Verlagsgesellschaft mbH 1990-01-01, 1990
ISBN 10: 3528076305
ISBN 13: 9783528076306
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Numerical Treatment of the Navier-Stokes Equations.
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Friedrich Vieweg & Sohn Verlagsgesellschaft mbH, 1990
ISBN 10: 3528076305
ISBN 13: 9783528076306
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gebundene Ausgabe. Condition: Gut. 176 Seiten In ENGLISCHER Sprache. Der Erhaltungszustand des hier angebotenen Werks ist trotz seiner Bibliotheksnutzung sehr sauber. Es befindet sich neben dem Rückenschild lediglich ein Bibliotheksstempel im Buch; ordnungsgemäß entwidmet. Leichte altersbedingte Anbräunung des Papiers. Sprache: Englisch Gewicht in Gramm: 335. Seller Inventory # 2002449
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Numerical Treatment of the Navier-Stokes Equations: Proceedings of the Fifth GAMM-Seminar, Kiel, January 20-22, 1989 (Notes on Numerical Fluid ... Design, 30 5) (German Edition)
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Numerical Treatment of the Navier-Stokes Equations
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Vieweg+Teubner Jan 1990, 1990
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The most frequently used method for the numerical integration of parabolic differential equa tions is the method of lines, where one first uses a discretization of space derivatives by finite differences or finite elements and then uses some time-stepping method for the the solution of resulting system of ordinary differential equations. Such methods are, at least conceptually, easy to perform. However, they can be expensive if steep gradients occur in the solution, stability must be controlled, and the global error control can be troublesome. This paper considers a simultaneaus discretization of space and time variables for a one-dimensional parabolic equation on a relatively long time interval, called 'time-slab'. The discretization is repeated or adjusted for following 'time-slabs' using continuous finite element approximations. In such a method we utilize the efficiency of finite elements by choosing a finite element mesh in the time-space domain where the finite element mesh has been adjusted to steep gradients of the solution both with respect to the space and the time variables. In this way we solve all the difficulties with the classical approach since stability, discretization error estimates and global error control are automatically satisfied. Such a method has been discussed previously in [3] and [4]. The related boundary value techniques or global time integration for systems of ordinary differential equations have been discussed in several papers, see [12] and the references quoted therein. 167 pp. Deutsch. Seller Inventory # 9783528076306
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Numerical Treatment of the Navier-Stokes Equations : Proceedings of the Fifth GAMM-Seminar, Kiel, January 20¿22, 1989
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - The most frequently used method for the numerical integration of parabolic differential equa tions is the method of lines, where one first uses a discretization of space derivatives by finite differences or finite elements and then uses some time-stepping method for the the solution of resulting system of ordinary differential equations. Such methods are, at least conceptually, easy to perform. However, they can be expensive if steep gradients occur in the solution, stability must be controlled, and the global error control can be troublesome. This paper considers a simultaneaus discretization of space and time variables for a one-dimensional parabolic equation on a relatively long time interval, called 'time-slab'. The discretization is repeated or adjusted for following 'time-slabs' using continuous finite element approximations. In such a method we utilize the efficiency of finite elements by choosing a finite element mesh in the time-space domain where the finite element mesh has been adjusted to steep gradients of the solution both with respect to the space and the time variables. In this way we solve all the difficulties with the classical approach since stability, discretization error estimates and global error control are automatically satisfied. Such a method has been discussed previously in [3] and [4]. The related boundary value techniques or global time integration for systems of ordinary differential equations have been discussed in several papers, see [12] and the references quoted therein. Seller Inventory # 9783528076306
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Numerical Treatment of the Navier-Stokes Equations
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Extension of an Abstract Theory of Discretization Algorithms to Problems with only Weak and Non-Unique Solutions.- A Time-Space Finite Element Method for Nonlinear Convection Diffusion Problems.- Parallelization of Robust Multi-Grid Methods: ILU Factorizati. Seller Inventory # 4867122
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Numerical Treatment of the Navier-Stokes Equations
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Vieweg Verlag, Friedr, & Sohn Verlagsgesellschaft mbH, 1990
ISBN 10: 3528076305
ISBN 13: 9783528076306
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Numerical Treatment of the Navier-Stokes Equations
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Vieweg Verlag, Friedr, & Sohn Verlagsgesellschaft mbH, 1990
ISBN 10: 3528076305
ISBN 13: 9783528076306
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