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E-grāmata: Innovative Methods for Numerical Solution of Partial Differential Equations [World Scientific e-book]

Edited by (Univ Of California, Davis, Usa), Edited by (Univ Of California, Davis, Usa)
  • Formāts: 416 pages
  • Izdošanas datums: 21-Dec-2001
  • Izdevniecība: World Scientific Publishing Co Pte Ltd
  • ISBN-13: 9789812810816
  • World Scientific e-book
  • Cena: 181,58 €*
  • * this price gives unlimited concurrent access for unlimited time
  • Formāts: 416 pages
  • Izdošanas datums: 21-Dec-2001
  • Izdevniecība: World Scientific Publishing Co Pte Ltd
  • ISBN-13: 9789812810816
Based on a July 1998 symposium held in France, this collection of 17 papers presents recent developments in the theory and algorithms for solving partial differential equations and their application in industry. Topics include collocated upwind schemes for compressible magnetohydrodynamics, a finite element based level set method for multiphase flows, superconvergent lift estimates through adjoint error analysis, flux schemes for solving nonlinear systems of conservation laws, and kinetic schemes for solving Saint-Venant equations on unstructured grids. No index. Annotation c. Book News, Inc., Portland, OR (booknews.com)
Dedication vii
Contributions of Philip Roe xi
``A One-Sided View:'' The Real Story, by B. van Leer with a post-script
1(9)
K.G. Powell
Collocated Upwind Schemes for Ideal MHD
10(39)
K. G. Powell
The Penultimate Scheme for Systems of Conservation Laws: Finite Difference ENO with Marquina's Flux Splitting
49(37)
R.P. Fedkiw
B. Merriman
R. Donat
S. Osher
A Finite Element Based Level-Set Method for Multiphase Flows
86(25)
B. Engquist
A.-K. Tornberg
The Ghost Fluid Method for Viscous Flows
111(33)
R.P. Fedkiw
X.-D Liu
Factorizable Schemes for the Equations of Fluid Flow
144(16)
D. Sidilkover
Evolution Galerkin Methods as Finite Difference Schemes
160(15)
K. W. Morton
Fluctuation Distribution Schemes on Adjustable Meshes for Scalar Hyperbolic Equations
175(23)
M. J. Baines
Superconvergent Lift Estimates Through Adjoint Error Analysis
198(14)
M.B. Giles
N.A. Pierce
Somewhere between the Lax-Wendroff and Roe Schemes for Calculating Multidimensional Compressible Flows
212(20)
A. Lerat
C. Corre
Y. Huang
Flux Schemes for Solving Nonlinear Systems of Conservation Laws
232(11)
J. M. Ghidaglia
A Lax-Wendroff Type Theorem for R.esidual Schemes
243(24)
R. Abgrall
K. Mer
B. Nkonga
Kinetic Schemes for Solving Saint-Venant Equations on Unstructured Grids
267(11)
M. D. Bristeau
B. Perthame
Nonlinear Projection Methods for Multi-Entropies Navier-Stokes Systems
278(27)
C. Berthon
F. Coquel
A Hybrid Fluctuation Splitting Scheme for Two-Dimensional Compressible Steady Flows
305(29)
P. De Palma
G. Pascazio
M. Napolitano
Some Recent Developments in Kinetic Schemes Based on Least Squares and Entropy Variables
334(25)
S.M. Deshpande
Difference Approximation for Scalar Conservation Law. Consistency with Entropy Condition from the Viewpoint of Oleinik's E-Condition
359(12)
H. Aiso
Lessons Learned from the Blast Wave Computation Using Overset Moving Grids: Grid Motion Improves the Resolution
371
K. Fujii