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There are a total of 9 record(s) matching your query.
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Intermediate boundary conditions for LOD, ADI and approximate factorization methods
Author(s): Leveque, R. J.
Abstract: A general approach to determining the correct intermediate boundary conditions for dimensional splitting methods is presented. The intermediate solution U is viewed as a second order accurate approximation to a modified ...
NASA Center: Langley Research Center Publication Year: 1985
Added to NTRS: 2008-02-19
Accession Number: 85N29626; Document ID: 19850021314; Report Number: ICASE-85-21, NAS 1.26:172591, NASA-CR-172591
Fourier analysis of the SOR iteration
Author(s): Leveque, R. J.; Trefethen, L. N.
Abstract: The SOR iteration for solving linear systems of equations depends upon an overrelaxation factor omega. It is shown that for the standard model problem of Poisson's equation on a rectangle, the optimal omega and corresponding ...
NASA Center: Langley Research Center Publication Year: 1986
Added to NTRS: 2005-10-13
Accession Number: 87N14055; Document ID: 19870004622; Report Number: AD-A211571, ICASE-86-63, NAS 1.26:178191, NASA-CR-178191
Numerical Methods For Chemically Reacting Flows
Author(s): Leveque, R. J.; Yee, H. C.
Abstract: Issues related to numerical stability, accuracy, and resolution discussed. Technical memorandum presents issues in numerical solution of hyperbolic conservation laws containing "stiff" (relatively large and rapidly changing) ...
NASA Center: Ames Research Center Publication Year: 1990
Added to NTRS: 2005-09-30
Accession Number: 90B10627; Document ID: 19900000627; Report Number: ARC-12282
Stable boundary conditions for Cartesian grid calculations
Author(s): Berger, M. J.; Leveque, R. J.
Abstract: The inviscid Euler equations in complicated geometries are solved using a Cartesian grid. This requires solid wall boundary conditions in the irregular grid cells near the boundary. Since these cells may be orders of ...
NASA Center: NASA (non Center Specific) Publication Year: 1990
Added to NTRS: 2005-08-25
Accession Number: 90N23139; Document ID: 19900013823; Report Number: AD-A223152, ICASE-90-37, NAS 1.26:182048, NASA-CR-182048
A study of numerical methods for hyperbolic conservation laws with stiff source terms
Author(s): Leveque, R. J.; Yee, H. C.
Abstract: The proper modeling of nonequilibrium gas dynamics is required in certain regimes of hypersonic flow. For inviscid flow this gives a system of conservation laws coupled with source terms representing the chemistry. Often a ...
NASA Center: Ames Research Center Publication Year: 1988
Added to NTRS: 2005-08-25
Accession Number: 88N18343; Document ID: 19880008959; Report Number: A-88110, NAS 1.15:100075, NASA-TM-100075
A study of numerical methods for hyperbolic conservation laws with stiff source terms
Author(s): Leveque, R. J.; Yee, H. C.
Abstract: In the present study of the behavior of typical numerical methods in the case of a model advection equation having a parameter-dependent source term, two approaches to the incorporation of the source terms are used: ...
NASA Center: Ames Research Center Publication Year: 1990
Added to NTRS: 2004-11-03
Accession Number: 90A21942; Document ID: 19900034887
A geometric approach to high resolution TVD schemes
Author(s): Goodman, J. B.; Leveque, R. J.
Abstract: A geometric approach, similar to Van Leer's MUSCL schemes, is used to construct a second-order accurate generalization of Godunov's method for solving scalar conservation laws. By making suitable approximations, a scheme is ...
NASA Center: Langley Research Center Publication Year: 1984
Added to NTRS: 2004-11-03
Accession Number: 85N15449; Document ID: 19850007140; Report Number: ICASE-84-55, NAS 1.26:172484, NASA-CR-172484
Stable boundary conditions for Cartesian grid calculations
Author(s): Berger, M. J.; Leveque, R. J.
Abstract: The inviscid Euler equations in complicated geometries are solved using a Cartesian grid. This requires solid wall boundary conditions in the irregular grid cells near the boundary. Since these cells may be orders of ...
NASA Center: NASA (non Center Specific) Publication Year: 1990
Added to NTRS: 2004-11-03
Accession Number: 91A42717; Document ID: 19910058094
On the resolvent condition in the Kreiss matrix theorem
Author(s): Leveque, R. J.; Trefethen, L. N.
Abstract: The Kreiss Matrix Theorem asserts the uniform equivalence over all N x N matrices of power boundedness and a certain resolvent estimate. It is shown that the ratio of the constants in these two conditions grows linearly with ...
NASA Center: Langley Research Center Publication Year: 1983
Added to NTRS: 2004-11-03
Accession Number: 83N34659; Document ID: 19830026388; Report Number: NAS 1.26:172177, NASA-CR-172177, REPT-83-35
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