The Courant-Friedrichs-Lewy condition(The CFL condition)is appeared in the analysis of the finite difference method applied to linear hyperbolic partial differential equations.We give a remark on the CFL condition fro...The Courant-Friedrichs-Lewy condition(The CFL condition)is appeared in the analysis of the finite difference method applied to linear hyperbolic partial differential equations.We give a remark on the CFL condition from a view point of stability,and we give some numerical experiments which show instability of numerical solutions even under the CFL condition.We give a mathematical model for rounding errors in order to explain the instability。展开更多
基金Grant-in-Aid for Scientific Research(B)22340018 from Japan Society for the Promotion of Science.
文摘The Courant-Friedrichs-Lewy condition(The CFL condition)is appeared in the analysis of the finite difference method applied to linear hyperbolic partial differential equations.We give a remark on the CFL condition from a view point of stability,and we give some numerical experiments which show instability of numerical solutions even under the CFL condition.We give a mathematical model for rounding errors in order to explain the instability。
