Study of numerical methods for evolutionary equations and construction of the corresponding software for sequential and parallel computers

LIDIA ACETO; P AMODIO; L BRUGNANO; F IAVERNARO; F MAZZIA; D TRIGIANTE

Study of numerical methods for evolutionary equations and construction of the corresponding software for sequential and parallel computers

LIDIA ACETO
, P AMODIO
, L BRUGNANO
, F IAVERNARO
, F MAZZIA
, D TRIGIANTE

Department of Science and Technological Innovation

Research output: Contribution to conference › Paper › peer-review

Abstract

In this paper we review the results obtained in the last two years in the solution of evolutionary equations by means of Boundary Value Methods. In particular, a sequential code for solving initial value ODEs and two parallel variants are introduced. Moreover, the main advantages that it is possible to obtain in the solution of DAEs, PDEs and Hamiltonian problems by means of BVMs are shortly emphasized.

Original language	English
Pages	167-178
Number of pages	12
Publication status	Published - 1 Jan 2000
Event	National Workshop on Numerical Analysis - Methods and Mathematical Software - UNIV FERRARA, DEPT MATH, FERRARA, ITALY Duration: 1 Jan 2000 → …

Conference

Conference	National Workshop on Numerical Analysis - Methods and Mathematical Software
City	UNIV FERRARA, DEPT MATH, FERRARA, ITALY
Period	1/01/00 → …

Keywords

BOUNDARY-VALUE METHODS
DIFFERENTIAL-ALGEBRAIC EQUATIONS
HAMILTONIAN-SYSTEMS
IMPLEMENTATION
COMPUTATION
SCHEMES
CODE

Cite this

ACETO, LIDIA., AMODIO, P., BRUGNANO, L., IAVERNARO, F., MAZZIA, F., & TRIGIANTE, D. (2000). Study of numerical methods for evolutionary equations and construction of the corresponding software for sequential and parallel computers. 167-178. Paper presented at National Workshop on Numerical Analysis - Methods and Mathematical Software, UNIV FERRARA, DEPT MATH, FERRARA, ITALY.

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title = "Study of numerical methods for evolutionary equations and construction of the corresponding software for sequential and parallel computers",

abstract = "In this paper we review the results obtained in the last two years in the solution of evolutionary equations by means of Boundary Value Methods. In particular, a sequential code for solving initial value ODEs and two parallel variants are introduced. Moreover, the main advantages that it is possible to obtain in the solution of DAEs, PDEs and Hamiltonian problems by means of BVMs are shortly emphasized.",

keywords = "BOUNDARY-VALUE METHODS, DIFFERENTIAL-ALGEBRAIC EQUATIONS, HAMILTONIAN-SYSTEMS, IMPLEMENTATION, COMPUTATION, SCHEMES, CODE, BOUNDARY-VALUE METHODS, DIFFERENTIAL-ALGEBRAIC EQUATIONS, HAMILTONIAN-SYSTEMS, IMPLEMENTATION, COMPUTATION, SCHEMES, CODE",

author = "LIDIA ACETO and P AMODIO and L BRUGNANO and F IAVERNARO and F MAZZIA and D TRIGIANTE",

year = "2000",

month = jan,

day = "1",

language = "English",

pages = "167--178",

note = "National Workshop on Numerical Analysis - Methods and Mathematical Software ; Conference date: 01-01-2000",

}

ACETO, LIDIA, AMODIO, P, BRUGNANO, L, IAVERNARO, F, MAZZIA, F & TRIGIANTE, D 2000, 'Study of numerical methods for evolutionary equations and construction of the corresponding software for sequential and parallel computers', Paper presented at National Workshop on Numerical Analysis - Methods and Mathematical Software, UNIV FERRARA, DEPT MATH, FERRARA, ITALY, 1/01/00 pp. 167-178.

Study of numerical methods for evolutionary equations and construction of the corresponding software for sequential and parallel computers. / ACETO, LIDIA; AMODIO, P; BRUGNANO, L et al.
2000. 167-178 Paper presented at National Workshop on Numerical Analysis - Methods and Mathematical Software, UNIV FERRARA, DEPT MATH, FERRARA, ITALY.

Research output: Contribution to conference › Paper › peer-review

TY - CONF

T1 - Study of numerical methods for evolutionary equations and construction of the corresponding software for sequential and parallel computers

AU - ACETO, LIDIA

AU - AMODIO, P

AU - BRUGNANO, L

AU - IAVERNARO, F

AU - MAZZIA, F

AU - TRIGIANTE, D

PY - 2000/1/1

Y1 - 2000/1/1

N2 - In this paper we review the results obtained in the last two years in the solution of evolutionary equations by means of Boundary Value Methods. In particular, a sequential code for solving initial value ODEs and two parallel variants are introduced. Moreover, the main advantages that it is possible to obtain in the solution of DAEs, PDEs and Hamiltonian problems by means of BVMs are shortly emphasized.

AB - In this paper we review the results obtained in the last two years in the solution of evolutionary equations by means of Boundary Value Methods. In particular, a sequential code for solving initial value ODEs and two parallel variants are introduced. Moreover, the main advantages that it is possible to obtain in the solution of DAEs, PDEs and Hamiltonian problems by means of BVMs are shortly emphasized.

KW - BOUNDARY-VALUE METHODS

KW - DIFFERENTIAL-ALGEBRAIC EQUATIONS

KW - HAMILTONIAN-SYSTEMS

KW - IMPLEMENTATION

KW - COMPUTATION

KW - SCHEMES

KW - CODE

KW - BOUNDARY-VALUE METHODS

KW - DIFFERENTIAL-ALGEBRAIC EQUATIONS

KW - HAMILTONIAN-SYSTEMS

KW - IMPLEMENTATION

KW - COMPUTATION

KW - SCHEMES

KW - CODE

UR - https://iris.uniupo.it/handle/11579/126240

M3 - Paper

SP - 167

EP - 178

T2 - National Workshop on Numerical Analysis - Methods and Mathematical Software

Y2 - 1 January 2000

ER -

Study of numerical methods for evolutionary equations and construction of the corresponding software for sequential and parallel computers

Abstract

Conference

Keywords

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