In this work, we introduce new finite-difference shock-capturing central schemes on staggered grids. Staggered schemes may have better resolution of the corresponding unstaggered ...
It is well known that finite difference or finite volume total variation diminishing (TVD) schemes solving one-dimensional scalar conservation laws degenerate to first order accura...
In this paper we shall derive a posteriori error estimates in the L1-norm for upwind finite volume schemes for the discretization of nonlinear conservation laws on unstructured gri...
In this work we consider a new class of Relaxation Finite Element schemes for Conservation Laws, with more stable behavior on the limit area of the relaxation parameter. Combine t...
Abstract. Numerical analysis of conservation laws plays an important role in the implementation of curve evolution equations. This paper reviews the relevant concepts in numerical ...