ADER-DG stability analysis reduces the CFL limit to polynomial roots, yielding CFL_max(N) ~ 1/(N+1)^2 with rigorous order-N+1 proofs and numerical confirmation on advection and Euler equations.
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A new fourth-order conservative adaptive multiresolution average-interpolating wavelet upwind scheme is proposed for hyperbolic conservation laws in compressible flows, using asymmetric wavelets for upwind discretization and symmetric ones for adaptation.
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Theory and internal structure of ADER-DG method for partial differential equations
ADER-DG stability analysis reduces the CFL limit to polynomial roots, yielding CFL_max(N) ~ 1/(N+1)^2 with rigorous order-N+1 proofs and numerical confirmation on advection and Euler equations.
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A Fourth-order Conservative Adaptive Multiresolution Wavelet Upwind Scheme for Compressible Flows
A new fourth-order conservative adaptive multiresolution average-interpolating wavelet upwind scheme is proposed for hyperbolic conservation laws in compressible flows, using asymmetric wavelets for upwind discretization and symmetric ones for adaptation.