G-matrices for algebraically stable general linear methods

被引：0

作者：

A. T. Hill

机构：

[1] University of Bath,Department of Mathematical Sciences

来源：

Numerical Algorithms | 2010年 / 53卷

关键词：

General linear methods; -matrix; 65L06; 65L20;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper describes a technique from Control whereby the G-matrix for an algebraically stable general linear method may be found in terms of the generalised eigenvectors of a generalised eigenproblem associated with the method.

引用

页码：281 / 292

页数：11

共 50 条

[31] Fourier matrices for G(d, 1, n) from quantum general linear groups
Lacabanne, Abel
JOURNAL OF ALGEBRA, 2021, 586 : 433 - 466
[32] General linear methods
Butcher, JC
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1996, 31 (4-5) : 105 - 112
[33] General linear methods
Comput Math Appl, 4-5 (105):
[34] Conserved G-matrices of morphological and life-history traits among continental and island blue tit populations
Delahaie, B.
Charmantier, A.
Chantepie, S.
Garant, D.
Porlier, M.
Teplitsky, C.
HEREDITY, 2017, 119 (02) : 76 - 87
[35] HIGH-ORDER ALGEBRAICALLY STABLE MULTISTEP RUNGE-KUTTA METHODS
BURRAGE, K
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1987, 24 (01) : 106 - 115
[36] ALGEBRAICALLY STABLE AND IMPLEMENTABLE RUNGE-KUTTA METHODS OF HIGH-ORDER
HAIRER, E
WANNER, G
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1981, 18 (06) : 1098 - 1108
[37] Numerical search for algebraically stable two-step almost collocation methods
Conte, Dajana
D'Ambrosio, Raffaele
Jackiewicz, Zdzislaw
Paternoster, Beatrice
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2013, 239 : 304 - 321
[38] THE ORDER OF B-CONVERGENCE OF ALGEBRAICALLY STABLE RUNGE-KUTTA METHODS
BURRAGE, K
HUNDSDORFER, WH
BIT, 1987, 27 (01): : 62 - 71
[39] Linear Multistep Methods as Irreducible General Linear Methods
J. C. Butcher
A. T. Hill
BIT Numerical Mathematics, 2006, 46 : 5 - 19
[40] Linear multistep methods as irreducible general linear methods
Butcher, JC
Hill, AT
BIT NUMERICAL MATHEMATICS, 2006, 46 (01) : 5 - 19

← 1 2 3 4 5 →