On the accuracy of shock-capturing schemes when calculating Cauchy problems with periodic discontinuous initial data

Cites Work

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On the monotonicity of the CABARET scheme approximating a scalar conservation law with a convex flux
Entropy viscosity method for nonlinear conservation laws
Compact accurately boundary-adjusting high-resolution technique for fluid dynamics
Non-oscillatory central differencing for hyperbolic conservation laws
High resolution schemes for hyperbolic conservation laws
Uniformly high order accurate essentially non-oscillatory schemes. III
Weighted essentially non-oscillatory schemes
Convergence of finite-difference schemes behind a shock front.
Construction of high-order accurate shock-capturing finite difference schemes for unsteady shock waves
On the construction of combined finite-difference schemes of high accuracy
Monotone finite-difference scheme preserving high accuracy in regions of shock influence
On the accuracy of the discontinuous Galerkin method in calculation of shock waves
Monotonicity of the CABARET scheme approximating a hyperbolic system of conservation laws
Efficient implementation of weighted ENO schemes
New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations
Combined numerical schemes
On convergence of finite-difference shock-capturing schemes in regions of shock waves influence
Combined DG scheme that maintains increased accuracy in shock wave areas
Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
Adaptive edge detectors for piecewise smooth data based on the minmod limiter
Vector cell-average multiresolution based on Hermite interpolation
Third order difference methods for hyperbolic equations
Semidiscrete Central-Upwind Schemes for Hyperbolic Conservation Laws and Hamilton--Jacobi Equations
Pressure‐based adaption indicator for compressible euler equations
Riemann Solvers and Numerical Methods for Fluid Dynamics
Uniformly High-Order Accurate Nonoscillatory Schemes. I
Generalized Leapfrog Methods
The Convergence Rate of Finite Difference Schemes in the Presence of Shocks
Computational Considerations for the Simulation of Shock-Induced Sound
Finite Volume Methods for Hyperbolic Problems
Numerical Methods for Conservation Laws
Systems of conservation laws
Essentially non-oscillatory and weighted essentially non-oscillatory schemes

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