An efficient algorithm for the evaluation of convolution integrals Academic Article uri icon

abstract

  • We propose an algorithm for the numerical evaluation of convolution integrals of the form ∫0xk(x-y)f(y,x) dy, for x∈[0,X]. Our method is especially suitable in situations where the fundamental interval [0, X] is very long and the kernel function k is expensive to calculate. Separate versions are provided where the forcing function f is known in advance, and where it must be determined step-by-step along the solution path. These methods are efficient with respect to both run time and memory requirements. © 2006 Elsevier Ltd. All rights reserved.

author list (cited authors)

  • Diethelm, K., & Freed, A. D.

citation count

  • 21

publication date

  • January 2006