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TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws III: One-dimensional systems
Journal of Computational Physics · 1989 · Vol. 84(1) · pp. 90–113
Bernardo Cockburn✉(University of Minnesota)San‐Yih Lin(University of Minnesota)Chi‐Wang Shu(Brown University)
Computational Fluid Dynamics and AerodynamicsAdvanced Numerical Methods in Computational MathematicsNumerical methods for differential equationsConservation lawDiscontinuous Galerkin methodMathematicsProjection (relational algebra)Finite element methodScalar (mathematics)Nonlinear systemBounded functionApplied mathematicsGalerkin method
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References
Efficient implementation of essentially non-oscillatory shock-capturing schemes, II
Journal of Computational Physics · 1989 · 4,824 citations
The numerical simulation of two-dimensional fluid flow with strong shocks
Journal of Computational Physics · 1984 · 2,820 citations
Uniformly high order accurate essentially non-oscillatory schemes, III
Journal of Computational Physics · 1987 · 2,948 citations
TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. II. General framework
Mathematics of Computation · 1989 · 1,894 citations
A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
Journal of Computational Physics · 1978 · 2,568 citations
Efficient implementation of essentially non-oscillatory shock-capturing schemes
Journal of Computational Physics · 1988 · 4,649 citations
Approximate Riemann solvers, parameter vectors, and difference schemes
Journal of Computational Physics · 1981 · 8,995 citations
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