IMPROVED ACCURACY OF MULTIQUADRIC INTERPOLATION USING VARIABLE SHAPE-PARAMETERS

被引：135

作者：

KANSA, EJ

CARLSON, RE

机构：

[1] Lawrence Livermore National Laboratory, Livermore, CA 94550

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1992年 / 24卷 / 12期

关键词：

D O I：

10.1016/0898-1221(92)90174-G

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Given N scattered data points, we examined the problem of finding N variable Multiquadric (MQ) shape-parameters, or R2 values. Because the problem of funding the optimal R2 values is a nonlinear one, we optimized these parameters numerically by minimizing the root-mean-square (RMS) errors. The resulting R2 values varied over many orders of magnitude. We have tested this approach on a number of univariate and bivariate (Franke's) problems, and found that the RMS error reduction was substantial.

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页码：99 / 120

页数：22

相关论文

共 14 条

[1] THE PARAMETER R2 IN MULTIQUADRIC INTERPOLATION [J].

CARLSON, RE ;

FOLEY, TA .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1991, 21 (09) :29-42

[2] SCATTERED DATA INTERPOLATION - TESTS OF SOME METHODS [J].

FRANKE, R .

MATHEMATICS OF COMPUTATION, 1982, 38 (157) :181-200

[3]

Goldberg DE, 1989, GENETIC ALGORITHMS S

[4] MULTIQUADRIC EQUATIONS OF TOPOGRAPHY AND OTHER IRREGULAR SURFACES [J].

HARDY, RL .

JOURNAL OF GEOPHYSICAL RESEARCH, 1971, 76 (08) :1905-+

[5] THEORY AND APPLICATIONS OF THE MULTIQUADRIC BIHARMONIC METHOD - 20 YEARS OF DISCOVERY 1968-1988 [J].

HARDY, RL .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1990, 19 (8-9) :163-208

[6] MULTIQUADRICS - A SCATTERED DATA APPROXIMATION SCHEME WITH APPLICATIONS TO COMPUTATIONAL FLUID-DYNAMICS .1. [J].

KANSA, EJ .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1990, 19 (8-9) :127-145

[7] IMPROVED ACCURACY OF MULTIQUADRIC INTERPOLATION USING VARIABLE SHAPE-PARAMETERS [J].

KANSA, EJ ;

CARLSON, RE .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1992, 24 (12) :99-120

[8] NORMS OF INVERSES AND CONDITION NUMBERS FOR MATRICES ASSOCIATED WITH SCATTERED DATA [J].

NARCOWICH, FJ ;

WARD, JD .

JOURNAL OF APPROXIMATION THEORY, 1991, 64 (01) :69-94

[9]

NIELSON GM, 1987, TOPICS MULTIVARIATE, P175

[10]

OTTEN JHJ, 1989, ANNEALING ALGORITHM