THE STARTING PROCEDURE IN VARIABLE-STEPSIZE VARIABLE-ORDER PECE CODES

[摘要] An existing starting procedure used in codes for solving ordinary differential equation initial-value problems by variable-stepsize variable-order PECE formulas is studied. The actual error propagation and the estimate formed in the code are analyzed and compared. Based on the behavior of a bound on error propagation, we present a modified starting procedure which improves efficiency significantly for stringent error tolerances.

[发布日期] 1994-07-29

[关键词] ODE CODES;INITIAL-VALUE PROBLEMS;LINEAR MULTISTEP METHODS;PECE FORMULAS;STEPSIZE SELECTION;ORDER SELECTION