Time Discretization Techniques

摘要: Abstract The time discretization of hyperbolic partial differential equations is typically the evolution a system ordinary obtained by spatial original problem. Methods for this include multistep, multistage, or multiderivative methods, as well combination these approaches. step constraint mainly result absolute stability requirement, additional conditions that mimic physical properties solution, such positivity total variation stability. These may be required when solution develops shocks sharp gradients. This chapter contains review some methods historically used PDEs, cutting edge are now commonly used.