Direct meshless kernel techniques for time-dependent equations

Y. C. Hon; R. Schaback

doi:10.1016/j.amc.2014.12.140

Direct meshless kernel techniques for time-dependent equations

Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

Overview

2 Scopus Citations

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Author(s)

Y. C. Hon
R. Schaback

Related Research Unit(s)

Department of Mathematics

Detail(s)

Original language	English
Pages (from-to)	220-226
Journal / Publication	Applied Mathematics and Computation
Volume	258
Online published	25 Feb 2015
Publication status	Published - 1 May 2015

Link(s)

DOI	DOI https://doi.org/10.1016/j.amc.2014.12.140 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-84923633613&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(4e7ecde1-1eb9-453f-a259-aa1995fa4254).html

Abstract

We provide a class of positive definite kernels that allow to solve certain evolution equations of parabolic type for scattered initial data by kernel-based interpolation or approximation, avoiding time intergation completely. Some numerical illustrations are given.