KADATH: A spectral solver for theoretical physics

被引：68

作者：

Grandclement, Philippe ^{[1
]}

机构：

[1] Observ Paris, LUTH, F-91195 Meudon, France

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2010年 / 229卷 / 09期

关键词：

Spectral methods; Theoretical physics; General relativity; EQUATIONS; SCALAR; FIELD;

D O I：

10.1016/j.jcp.2010.01.005

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

KADATH is a library that implements spectral methods in a very modular manner. It is designed to solve a wide class of problems that arise in the context of theoretical physics. Several types of coordinates are implemented and additional geometries can be easily encoded. Partial differential equations of various types are discretized by means of spectral methods. The resulting system is solved using a Newton-Raphson iteration. Doing so, KADATH is able to deal with strongly non-linear situations. The algorithms are validated by applying the library to four different problems of contemporary physics, in the fields of gauge field theory and general relativity. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：3334 / 3357

页数：24

共 40 条

[1]

[Anonymous], 2003, ITERATIVE METHODS SP, DOI DOI 10.1137/1.9780898718003

[2] Single-domain spectral method for black hole puncture data -: art. no. 064011 [J].