Handbook of Numerical Analysis

Handbook of Numerical Methods for Hyperbolic Problems

Basic and Fundamental Issues
Mitarbeit:Ciarlet, Philippe G.; Ciarlet, Philippe G.; Lions, Jacques-Louis; Lions, Jacques-Louis, Herausgegeben:Abgrall, Remi; Shu, Chi-Wang; Du, Qiang; Glowinski, Roland; Hintermüller, Michael; Süli, Endre

• Gebundenes Buch

Produktbeschreibung

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.

Produktdetails

• Handbook of Numerical Analysis Volume 17
• Verlag: North Holland
• Artikelnr. des Verlages: S1570-8659(16)X0002-6
• Seitenzahl: 666
• Erscheinungstermin: 23. November 2016
• Englisch
• Abmessung: 236mm x 158mm x 40mm
• Gewicht: 1164g
• ISBN-13: 9780444637895
• ISBN-10: 0444637893
• Artikelnr.: 45329571

Autorenporträt

Rémi Abgrall is a professor at Universität Zürich

Inhaltsangabe

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