Lanczos' generalized derivative: Insights and applications

被引：9

作者：

Hicks, DL ^{[1
]}

Liebrock, LM

机构：

[1] Michigan Technol Univ, Dept Math Sci, Houghton, MI 49931 USA

[2] Liebrock Hicks Res, Calumet, MI 49913 USA

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2000年 / 112卷 / 01期

关键词：

Lanczos' derivative; hydrocodes; material dynamics; finite interpolation methods; smoothed particle hydrodynamics;

D O I：

10.1016/S0096-3003(99)00048-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Generalizations of the Lanczos derivative provide a basis for certain grid-free Finite Interpolation Methods (FIMs) which appear to have advantages over alternatives such as the standard Finite Difference Methods (FDMs) or Finite Element Methods (FEMs) for certain problems, e.g., hypervelocity impact problems in computational material dynamics. (C) 2000 Elsevier Science Inc. All rights reserved.

引用

页码：63 / 73

页数：11

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