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Handbook of Numerical Methods for Hyperbolic Problems
Basic and Fundamental Issues
Provides explanations, analysis, and the applications of various numerical algorithms for solving hyperbolic equations
Remi Abgrall (Edited by), Chi-Wang Shu (Edited by), Qiang Du (Series edited by), Roland Glowinski (Series edited by), Michael Hintermüller (Series edited by), Endre Süli (Series edited by)
9780444637895, Elsevier Science
Hardback, published 23 November 2016
666 pages
22.9 x 15.1 x 3.6 cm, 1.16 kg
Handbook of Numerical Methods for Hyperbolic Problems explores the changes that have taken place in the past few decades regarding literature in the design, analysis and application of various numerical algorithms for solving hyperbolic equations. This volume provides concise summaries from experts in different types of algorithms, so that readers can find a variety of algorithms under different situations and readily understand their relative advantages and limitations.
General Introduction R. Abgrall and C.-W. Shu Introduction to the Theory of Hyperbolic Conservation Laws C.M. Dafermos The Riemann Problem: Solvers and Numerical Fluxes E.F. Toro Classical Finite Volume Methods T. Sonar Sharpening Methods for Finite Volume Schemes B. Després, S. Kokh and F. Lagoutière ENO and WENO Schemes Y.-T. Zhang and C.-W. Shu Stability Properties of the ENO Method U.S. Fjordholm Stability, Error Estimate and Limiters of Discontinuous Galerkin Methods J. Qiu and Q. Zhang HDG Methods for Hyperbolic Problems B. Cockburn, N.C. Nguyen and J. Peraire Spectral Volume and Spectral Difference Methods Z.J. Wang, Y. Liu, C. Lacor and J. Azevedo High-Order Flux Reconstruction Schemes F.D. Witherden, P.E. Vincent and A. Jameson Linear Stabilization for First-Order PDEs A. Ern and J.-L. Guermond Least-Squares Methods for Hyperbolic Problems P. Bochev and M. Gunzburger Staggered and Co-Located Finite Volume Schemes for Lagrangian Hydrodynamics R. Loubère, P.-H. Maire and B. Rebourcet High Order Mass Conservative Semi-Lagrangian Methods for Transport Problems J.-M. Qiu Front Tracking Methods D. She, R. Kaufman, H. Lim, J. Melvin, A. Hsu and J. Glimm Moretti’s Shock-Fitting Methods on Structured and Unstructured Meshes A. Bonfiglioli, R. Paciorri, F. Nasuti and M. Onofri Spectral Methods for Hyperbolic Problems J.S. Hesthaven Entropy Stable Schemes E. Tadmor Entropy Stable Summation-By-Parts Formulations for Compressible Computational Fluid Dynamics M.H. Carpenter, T.C. Fisher, E.J. Nielsen, M. Parsani, M. Svärd and N. Yamaleev Central Schemes: A Powerful Black-Box Solver for Nonlinear Hyperbolic PDEs A. Kurganov Time Discretization Techniques S. Gottlieb and D.I. Ketcheson The Fast Sweeping Method for Stationary Hamilton-Jacobi Equations H. Zhao Numerical Methods for Hamilton?Jacobi Type Equations M. Falcone and R. Ferretti
Subject Areas: Numerical analysis [PBKS]
