High Order Accurate Methods for the Evaluation of Layer Heat Potentials
نویسندگان
چکیده
منابع مشابه
High Order Accurate Methods for the Evaluation of Layer Heat Potentials
We discuss the numerical evaluation of single and double layer heat potentials in two dimensions on stationary and moving boundaries. One of the principal difficulties in designing high order methods concerns the local behavior of the heat kernel, which is both weakly singular in time and rapidly decaying in space. We show that standard quadrature schemes suffer from a poorly recognized form of...
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ژورنال
عنوان ژورنال: SIAM Journal on Scientific Computing
سال: 2009
ISSN: 1064-8275,1095-7197
DOI: 10.1137/080732389