Collocation-based two step Runge-Kutta methods for Ordinary Differential Equations

被引：0

作者：

D'Ambrosio, R. ^{[1
]}

Ferro, M. ^{[2
]}

Paternoster, B. ^{[1
]}

机构：

[1] Univ Salerno, Dipartimento Matemat & Informat, I-84084 Fisciano, SA, Italy

[2] Univ Naples Federico II, Dept Math Appl, Federico II, I-80126 Naples, Italy

来源：

COMPUTATIONAL SCIENCE AND ITS APPLICATIONS - ICCSA 2008, PT 2, PROCEEDINGS | 2008年 / 5073卷

关键词：

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We introduce a general family of collocation based two-step Runge-Kutta methods for the numerical integration of Ordinary Differential Equations depending on the stage values at two consecutive step points. We describe two constructive techniques and analyze the properties of the resulting methods.

引用

页码：736 / +

页数：3

共 50 条

[21] ADDITIVE RUNGE-KUTTA METHODS FOR STIFF ORDINARY DIFFERENTIAL-EQUATIONS
COOPER, GJ
SAYFY, A
MATHEMATICS OF COMPUTATION, 1983, 40 (161) : 207 - 218
[22] Implicit Runge-Kutta methods for lipschitz continuous ordinary differential equations
Chen, Xiaojun
Mahmoud, Sayed
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2008, 46 (03) : 1266 - 1280
[23] Construction of Runge-Kutta type methods for solving ordinary differential equations
Tang, Wensheng
Sun, Yajuan
APPLIED MATHEMATICS AND COMPUTATION, 2014, 234 : 179 - 191
[24] STABILITY OF RUNGE-KUTTA METHODS FOR STIFF ORDINARY DIFFERENTIAL-EQUATIONS
ALEXANDER, RK
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1994, 31 (04) : 1147 - 1168
[25] Stability analysis of two-step Runge-Kutta methods for delay differential equations
Bartoszewski, Z
Jackiewicz, Z
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2002, 44 (1-2) : 83 - 93
[26] Two-Derivative Runge-Kutta Methods for Differential Equations
Chan, Robert P. K.
Wang, Shixiao
Tsai, Angela Y. J.
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2012), VOLS A AND B, 2012, 1479 : 262 - 266
[27] A GENERAL-CLASS OF 2-STEP RUNGE-KUTTA METHODS FOR ORDINARY DIFFERENTIAL-EQUATIONS
JACKIEWICZ, Z
TRACOGNA, S
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1995, 32 (05) : 1390 - 1427
[28] STABILITY OF COLLOCATION-BASED RUNGE-KUTTA-NYSTROM METHODS
VANDERHOUWEN, PJ
SOMMEIJER, BP
CONG, NH
BIT, 1991, 31 (03): : 469 - 481
[29] Stochastic Runge-Kutta Methods with Deterministic High Order for Ordinary Differential Equations
Komori, Yoshio
Buckwar, Evelyn
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS A-C, 2011, 1389
[30] RATIONAL RUNGE-KUTTA METHODS FOR SOLVING SYSTEMS OF ORDINARY DIFFERENTIAL-EQUATIONS
WAMBECQ, A
COMPUTING, 1978, 20 (04) : 333 - 342

← 1 2 3 4 5 →