Solución numérica de problemas de valores en la frontera con alta exactitud por métodos espectrales

Abstract

AMONG THE METHODS AVAILABLE FOR THE SOLUTION OF BOUND ARY PROBLEMS WE MAY FIND THE SO-CALLED SPEC TRAL METH ODS, IN WHICH THE SOLUTION u(x,t) (DEPENDING UPON A SPACE-LIKE VARIABLE X AND A TIME-LIKE VARIABLE) IS APPROXIMATED BY A FINITE SUM IN ORDER TO HAVE THIS FORM, ON ONE HAND, A CLASS OF FUNCTIONS IN, HAS TO BE SELECTED, AND ON THE OTHER, THE ADEQUATE ALGORITHMS FOR THE EXPANSION OF THE COEFFICIENTS AK MUST BE CHOSEN.