Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 216, Issue 1, Pages 326-336Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2005.12.003
Keywords
convolution; space and time variant kernels; nonlocal terms; integro-differential equations
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Mathematical models in many fields of the physical sciences involve nonlocal terms which are formally similar to convolution integrals. We show that it is possible to approximate a particular class of such integrals, which by themselves are not convolutions, as a linear combination of convolution integrals, allowing for their efficient numerical computation as an O(NlogN) process. (c) 2005 Elsevier Inc. All rights reserved.
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