Journal of Computational and Applied Mathematics: Volume 100 Issue 1, Nov. 30, 1998
Publisher: Elsevier Science Publishers B. V.
initial-value problems, numerical analysis, approximate factorization, ordinary differential equations
SIAM Journal on Scientific and Statistical Computing: Volume 3 Issue 4, 1982
Publisher: Society for Industrial and Applied Mathematics
The numerical solution of nonlinear, time-dependent partial differential equations is discussed. An initial value problem for a system of ODE'S is obtained by the method of lines, and an implicit linear multistep method is applied to this initial value problem. Using Newton type iteration the nonlinear implicit relations are replaced ...
coarse grid corrections, initial-boundary value problems, Numerical analysis, incomplete LU-decomposition, method of lines