Generalized finite-difference schemes
作者： Blair Swartz , Burton Wendroff
DOI: 10.1090/S0025-5718-1969-0239768-7
关键词: Step function 、 Matrix (mathematics) 、 Finite difference 、 Partial differential equation 、 Nonlinear system 、 Galerkin method 、 Mathematical analysis 、 Flux limiter 、 System of linear equations 、 Mathematics
摘要: Finite-difference schemes for initial boundary-value problems partial differential equations lead to systems of which must be solved at each time step. Other methods also equations. We call a method generalized finite-difference scheme if the matrix coefficients system is sparse. Galerkin's method, using local basis, provides unconditionally stable, implicit large class linear and nonlinear problems. The can generated by computer program. will, in general, not more efficient than standard when such stable exist. exhibit Burgers' equation solve it with step function data. U
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