Timestepping

Time stepping with Runge-Kutta : Dirichlet boundary conditions

Articles related to Multi-rate time stepping with AMR

• Qinghai Zhang and Hans Johansen and Phillip Colella A fourth-order accurate finite-volume method with structured adaptive mesh refinement for solving the advection-diffusion equation http://epubs.siam.org/doi/abs/10.1137/110820105

• Peter McCorquodale and Phillip Colella A high-order finite volume method for conservation laws on locally refined grids http://msp.org/camcos/2011/6-1/index.xhtml

• Willem Hundsdorfer and David I. Ketcheson and Igor Savostianov Error Analysis of explicit partitioned Runge-Kutta schemes for conservation laws http://arxiv.org/abs/1310.7168