### Abstract

We investigate the conditions which guarantee that Runge-Kutta methods preserve asymptotic values of the systems of ordinary differential equations. A complete characterization of such methods is given and examples of methods with these properties are presented for s = p = 2. 3 and 4, where s is the number of stages and p is the order of the method.

Original language | English (US) |
---|---|

Pages (from-to) | 251-262 |

Number of pages | 12 |

Journal | Applied Numerical Mathematics |

Volume | 22 |

Issue number | 1-3 SPEC. ISS. |

State | Published - Nov 1996 |

### Fingerprint

### Keywords

- Asymptotic values
- Ordinary differential equation
- Runge-Kutta method

### ASJC Scopus subject areas

- Applied Mathematics
- Computational Mathematics
- Modeling and Simulation

### Cite this

*Applied Numerical Mathematics*,

*22*(1-3 SPEC. ISS.), 251-262.

**Regularity properties of Runge-Kutta methods for ordinary differential equations.** / Jackiewicz, Zdzislaw; Vermiglio, R.; Zennaro, M.

Research output: Contribution to journal › Article

*Applied Numerical Mathematics*, vol. 22, no. 1-3 SPEC. ISS., pp. 251-262.

}

TY - JOUR

T1 - Regularity properties of Runge-Kutta methods for ordinary differential equations

AU - Jackiewicz, Zdzislaw

AU - Vermiglio, R.

AU - Zennaro, M.

PY - 1996/11

Y1 - 1996/11

N2 - We investigate the conditions which guarantee that Runge-Kutta methods preserve asymptotic values of the systems of ordinary differential equations. A complete characterization of such methods is given and examples of methods with these properties are presented for s = p = 2. 3 and 4, where s is the number of stages and p is the order of the method.

AB - We investigate the conditions which guarantee that Runge-Kutta methods preserve asymptotic values of the systems of ordinary differential equations. A complete characterization of such methods is given and examples of methods with these properties are presented for s = p = 2. 3 and 4, where s is the number of stages and p is the order of the method.

KW - Asymptotic values

KW - Ordinary differential equation

KW - Runge-Kutta method

UR - http://www.scopus.com/inward/record.url?scp=0030291053&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030291053&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0030291053

VL - 22

SP - 251

EP - 262

JO - Applied Numerical Mathematics

JF - Applied Numerical Mathematics

SN - 0168-9274

IS - 1-3 SPEC. ISS.

ER -