METHOD AND DEVICE FOR CONTROL, RECORDING MEDIUM WITH PROGRAM FOR CONTROL RECORDED THEREON, METHOD AND DEVICE FOR NUMERICAL CALCULATION, AND RECORDING MEDIUM WITH PROGRAM FOR NUMERICAL CALCULATION RECORDED THEREON

摘要

PROBLEM TO BE SOLVED: To provide a method which can surely perform an operation control accompanied by nonlinear phenomenon on at a high speed. SOLUTION: Denoting a linear differential operator of a nonlinear partial differential equation that a physical quantity U should satisfy as A, a nonlinear differential operator as B, and a nonhomogeneous term (source term) as (f), A.U+B(U)=f is solved by a successive approximation method. At this time, (f-A.Um-B(Um)) is given as a nonlinear residue rm for an approximate solution Um, where a repetition frequency is (m) and the approximate solution Um is corrected so that the nonlinear residue rm+1 becomes small.