Linearized box schemes for first-order systems of hyperbolic conservation laws

A widely used scheme in many applications for the integration of first-order systems of hyper bolic conservation laws: u_t + (f(u))_x =0 is the Wendroff implicit scheme, popularly known as a "box" scheme. Wendroff's scheme is based on the classical ...

Multiderivative time integrators have a long history of development for ordinary differential equations, and yet to date, only a small subset of these methods have been explored as a tool for solving partial differential equations (PDEs). This large ...

We construct uniformly high order accurate schemes satisfying a strict maximum principle for scalar conservation laws. A general framework (for arbitrary order of accuracy) is established to construct a limiter for finite volume schemes (e.g. ...