Weak solutions of nonlinear hyperbolic equations and their numerical computation

Keywords

Mathematics, Mathematical physics, Computation, Algebra over a field, Calculus (dental)

References

• Supersonic Flow And Shock WavesR. Courant, K. Friedrichs — 1948
• A Method for the Numerical Calculation of Hydrodynamic ShocksJ. VonNeumann, Robert D. Richtmyer — 1950
• Methoden der mathematischen PhysikRichard Courant, David Hilbert — 1993
• Note on Becker's Theory of the Shock FrontL. H. Thomas — 1944
• Shock waves in arbitrary fluidsHermann Weyl — 1949
• On Unsteady Flow of Compressible Viscous FluidsG. S. S. Ludford, Harry Polachek, Raymond J. Seeger — 1953
• Über die partiellen Differenzengleichungen der mathematischen PhysikRichard Courant, Kurt Friedrichs, Hans Lewy — 1928
• The profile of a steady plane shock waveHarold Grad — 1952
• Stoßwelle und DetonationR. Becker — 1922
• The Existence and Limit Behavior of the One-Dimensional Shock LayerDavid Gilbarg — 1951
• The Initial Value Problem for Nonlinear Hyperbolic Equations in Two Independent VariablesPeter D. Lax — 1954
• On a quasi-linear parabolic equation occurring in aerodynamicsJulian D. Cole — 1951
• Methoden der Mathematischen PhysikRichard Courant, David Hilbert — 1937

Cited by

• Urban Storm Runoff Inlet Hydrograph Study Volume 1: Computer Analysis of Runoff from Urban Highway Watersheds Under Time- and Space-Varying RainstormsChen-Lung Chen — 1975
• Nonlinear hyperbolic partial differential equation with small parameterLura Cecil Dean — 1960
• An application of 3-D Kinematical Conservation Laws: propagation of a three dimensional wavefrontKR Arun, Medvidova M Lukacova, Raghurama Sv Rao — 2008
• COMPUTATION OF COMPRESSIBLE FLOWS ON UNSTRUCTURED STAGGERED GRIDSI. Wenneker, Guus Segal, P. Wesseling — 2000
• A FINITE VOLUME METHOD TO SOLVE THE COMPRESSIBLE NAVIER-STOKES SYSTEM ON UNSTRUCTURED MESHRabé Badé, Hédia Chaker, Mohamed Abdelwahed — 2015
• Numerical calculations of two dimensional, unsteady transonic flows with circulationRichard M. Beam, R. F. Warming — 1974
• Recent Developments in Shock-Capturing SchemesAmi Harten — 1991
• High order accurate shock capturing schemes for hyperbolic conservation laws based on a new class of limiters.Susana Serna Salichs — 2005
• High-resolution alternating evolution schemes for hyperbolic conservation laws and Hamilton -Jacobi equationsHaseena Ahmed — 2008
• Hyperbolic Conservation Laws with Umbilic Points IGui-Qiang G. Chen, P. T. Kan — 1992
• Simulation of unsteady rotational flow over propfan configurationRakesh Srivastava, Lakshmi Sankar — 1990
• Thermally Boosted Concept for Improved Energy Storage Capacity of a Hydro-Pneumatic AccumulatorFernando Tavares — 2011
• High-order central finite-volume schemes for atmospheric modelingKiran K. Katta — 2012
• Investigating the shock wave of traffic flow on the highway in a class of discontinuous functionsMahir Rasulov, Gökhan Silahtaroğlu — 2006
• Numerische Untersuchung des Lax-VerfahrensK. F�rster — 1968
• Numerical simulation of two and three-dimensional viscous free surface flows in partially-filled containers using a surface capturing approachFranklyn J. Kelecy — 1993
• Nonlinear fluid-structure interaction in a flexible shelter under blast loadingSangeon Chun — 2004
• A new theoretically motivated higher order upwind scheme on unstructured grids of simplicesMonika Wierse — 1997
• NUMERICAL ANALYSIS OF A HIGHER ORDER TIME RELAXATION MODEL OF FLUIDSVincent J. Ervin, William Layton, Monika Neda — 2007
• Limiting and shock detection for discontinuous Galerkin solutions using multiwaveletsMathea J. Vuik — 2012

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