Strong stability preserving hybrid methods
Copyright policy )Strong stability preserving hybrid methods
The author constructs a series of new strong stability preserving (SSP) explicit methods of orders 2 through 7 with nonnegative coefficients to solve partial differential equations (PDE) by the method of lines. Since solutions of hyperbolic PDEs are frequently discontinuous, time integration of the new methods is based on a nonlinear stability requirement. The lower order methods have larger effective CFL coeffficients than commonly used methods. Numerical experiments on the Burgers equation are given.
- Huazhong University of Science and Technology China (People's Republic of)
Method of lines for initial value and initial-boundary value problems involving PDEs, multistep methods, total variation diminishing (TVD), positivity, method of lines, high order, Burgers equation, hybrid methods, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, strong stability preserving (SSP), numerical experiements, Second-order nonlinear hyperbolic equations, time discretization
Method of lines for initial value and initial-boundary value problems involving PDEs, multistep methods, total variation diminishing (TVD), positivity, method of lines, high order, Burgers equation, hybrid methods, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, strong stability preserving (SSP), numerical experiements, Second-order nonlinear hyperbolic equations, time discretization
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).16 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!