Lagrange distributed approximating functionals

被引：80

作者：

Wei, GW

Zhang, DS

Kouri, DJ

Hoffman, DK

机构：

[1] UNIV HOUSTON,DEPT PHYS,HOUSTON,TX 77204

[2] IOWA STATE UNIV,DEPT CHEM,AMES,IA 50011

[3] IOWA STATE UNIV,AMES LAB,AMES,IA 50011

来源：

PHYSICAL REVIEW LETTERS | 1997年 / 79卷 / 05期

关键词：

D O I：

10.1103/PhysRevLett.79.775

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Lagrange distributed approximating functionals (LDAFs) are proposed as the basis for a new, collocation-type method for accurately approximating functions and their derivatives both on and off discrete grids. Example applications are presented to illustrate-the use of LDAFs for solving the Schrodinger equation and Fokker-Planck equation. LDAFs are constructed by combining the DAF concept with the Lagrange interpolation scheme.

引用

收藏

页码：775 / 779

页数：5

相关论文

共 30 条

[1] A NUMERICAL STUDY OF THE GENERAL RAYLEIGHS PISTON MODEL [J].

BARKER, JA ;

HOARE, MR ;

RAVAL, S .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1981, 14 (02) :423-438

[2] An efficient Chebyshev-Lanczos method for obtaining eigensolutions of the Schrodinger equation on a grid [J].

Braun, M ;

Sofianos, SA ;

Papageorgiou, DG ;

Lagaris, IE .

JOURNAL OF COMPUTATIONAL PHYSICS, 1996, 126 (02) :315-327

[3]

Chang J. S., 1970, Journal of Computational Physics, V6, P1, DOI 10.1016/0021-9991(70)90001-X

[4] HIGHER-ORDER FINITE-DIFFERENCE PSEUDOPOTENTIAL METHOD - AN APPLICATION TO DIATOMIC-MOLECULES [J].

CHELIKOWSKY, JR ;

TROULLIER, N ;

WU, K ;

SAAD, Y .

PHYSICAL REVIEW B, 1994, 50 (16) :11355-11364

[5] IMPLICIT AND CONSERVATIVE DIFFERENCE SCHEME FOR THE FOKKER-PLANCK EQUATION [J].

EPPERLEIN, EM .

JOURNAL OF COMPUTATIONAL PHYSICS, 1994, 112 (02) :291-297

[6]

Finlayson BA., 1972, Method of Weighted Residuals and Variational Principles

[7]

Flugge S., 1974, Practical Quantum Mechanics

[8]

Forsythe G. E., 1967, Finite -Difference Methods for Partial Differential Equations

[9] SOLUTION OF SELF-CONSISTENT FIELD ELECTRONIC-STRUCTURE EQUATIONS BY A PSEUDOSPECTRAL METHOD [J].

FRIESNER, RA .

CHEMICAL PHYSICS LETTERS, 1985, 116 (01) :39-43

[10] CALCULATION OF MATRIX ELEMENTS FOR 1-DIMENSIONAL QUANTUM-MECHANICAL PROBLEMS AND APPLICATION TO ANHARMONIC OSCILLATORS [J].

HARRIS, DO ;

ENGERHOLM, GG ;

GWINN, WD .

JOURNAL OF CHEMICAL PHYSICS, 1965, 43 (05) :1515-+