Stability and convergence of linear parabolic mixed initial-boundary value problems on nonuniform grids
The authors investigate the stability and convergence of variable step (space and time) algorithms in the solution of one-dimensional, linear, parabolic, mixed initial-boundary value problems. At first they consider the case of fixed nonuniform grids. In this case the number and location of the grid points do not change from one time level to another. Then the authors study the general case where the number and location of the grid points can change from one time level to another. At last, they describe for an example a procedure for the adaptive selection of the grid points at each time level.
scientific article; zbMATH DE number 4164072
scientific article