Analysis of two fully discrete spectral volume schemes for hyperbolic equations

Cites Work

Numerical resolution of discontinuous Galerkin methods for time dependent wave equations
Dispersion and dissipation properties of the 1D spectral volume method and application to a $p$-multigrid algorithm
Time step restrictions for Runge-Kutta discontinuous Galerkin methods on triangular grids
A stability analysis for the spectral volume method on tetrahedral grids
Spectral (finite) volume method for conservation laws on unstructured grids. IV: Extension to two-dimensional systems.
Spectral (finite) volume method for conservation laws on unstructured grids. III: One-dimensional systems and partition optimization
Spectral (finite) volume method for conservation laws on unstructured grids. Basic formulation
A second order explicit finite element scheme to multi-dimensional conservation laws and its convergence
High-order spectral volume scheme for multi-component flows using non-oscillatory kinetic flux
Analysis of spectral volume methods for 1D linear scalar hyperbolic equations
An analysis of and a comparison between the discontinuous Galerkin and the spectral finite volume methods
An accuracy and stability study of the 2D spectral volume method
On the connection between the spectral volume and the spectral difference method
Spectral (finite) volume method for conservation laws on unstructured grids. VI: Extension to viscous flow
Spectral (finite) volume method for conservation laws on unstructured grids V: Extension to three-dimensional systems
Evaluation of discontinuous Galerkin and spectral volume methods for scalar and system conservation laws on unstructured grids
L²stability analysis of the central discontinuous Galerkin method and a comparison between the central and regular discontinuous Galerkin methods
Error Estimates to Smooth Solutions of Runge--Kutta Discontinuous Galerkin Methods for Scalar Conservation Laws
A high order spectral volume solution to the Burgers' equation using the Hopf–Cole transformation
The L$^2$-norm Stability Analysis of Runge--Kutta Discontinuous Galerkin Methods for Linear Hyperbolic Equations
Stability Analysis and A Priori Error Estimates of the Third Order Explicit Runge–Kutta Discontinuous Galerkin Method for Scalar Conservation Laws

This page was built for publication: Analysis of two fully discrete spectral volume schemes for hyperbolic equations