On bias of transfer function of numerical ordinary differential equation solvers in the frequency domain

被引：1

作者：

Házi, G ^{[1
]}

Pór, G

机构：

[1] KFKI, Atom Energy Res Inst, Simulator Dev Dept, H-1525 Budapest, Hungary

[2] Tech Univ Budapest, Inst Nucl Tech, H-1521 Budapest, Hungary

来源：

ANNALS OF NUCLEAR ENERGY | 1999年 / 26卷 / 13期

关键词：

D O I：

10.1016/S0306-4549(99)00010-9

中图分类号：

TL [原子能技术]; O571 [原子核物理学];

学科分类号：

0827 ; 082701 ;

摘要：

The bias of transfer function in numerical solution of ordinary differential equations is studied in frequency domain. Explicit formulas are given for two particular cases widely used in reactor physics. Comparing the frequency characteristics of numerical method with the real transfer function one can reduce the inaccuracy with a suitable selection of step-size. (C) 1999 Elsevier Science Ltd. All rights reserved.

引用

页码：1221 / 1226

页数：6

共 50 条

[21] An ordinary differential equation for the Green function of time-domain free-surface hydrodynamics
Clement, AH
JOURNAL OF ENGINEERING MATHEMATICS, 1998, 33 (02) : 201 - 217
[22] An ordinary differential equation for the Green function of time-domain free-surface hydrodynamics
Lab. de Mecan. des Fluides, Division Hydrodynamique Navale, E.C.N., Nantes, France
J Eng Math, 2 (201-217):
[23] An ordinary differential equation for the Green function of time-domain free-surface hydrodynamics
A. H. Clément
Journal of Engineering Mathematics, 1998, 33 : 201 - 217
[24] Fourier neural networks as function approximators and differential equation solvers
Ngom, Marieme
Marin, Oana
STATISTICAL ANALYSIS AND DATA MINING, 2021, 14 (06) : 647 - 661
[25] Asymptotic-numerical solvers for highly oscillatory ordinary differential equations and Hamiltonian systems
Zhongli Liu
Xiaoxue Sa
Hongjiong Tian
Computational and Applied Mathematics, 2021, 40
[26] Asymptotic-numerical solvers for highly oscillatory ordinary differential equations and Hamiltonian systems
Liu, Zhongli
Sa, Xiaoxue
Tian, Hongjiong
COMPUTATIONAL & APPLIED MATHEMATICS, 2021, 40 (08):
[27] Numerical model of Richard's equation based on an ordinary differential equation solver
State Key Laboratory of Hydroscience and Engineering, Department of Hydraulic Engineering, Tsinghua University, Beijing 100084, China
Qinghua Daxue Xuebao, 2007, 6 (785-788): : 785 - 788
[28] Numerical approaches to fractional calculus and fractional ordinary differential equation
Li, Changpin
Chen, An
Ye, Junjie
JOURNAL OF COMPUTATIONAL PHYSICS, 2011, 230 (09) : 3352 - 3368
[29] OPTIMAL MESH SIZE IN NUMERICAL INTEGRATION OF AN ORDINARY DIFFERENTIAL EQUATION
MORRISON, D
JOURNAL OF THE ACM, 1962, 9 (01) : 98 - &
[30] SOME CONSERVATIVE NUMERICAL SCHEMES FOR AN ORDINARY DIFFERENTIAL-EQUATION
FEI, Z
VAZQUEZ, L
MATEMATICA APLICADA E COMPUTACIONAL, 1991, 10 (01): : 59 - 69

← 1 2 3 4 5 →