Automatic integration of Euler-Lagrange equations with constraints

C. W. Gear; B. Leimkuhler; G. K. Gupta

doi:10.1016/0377-0427(85)90008-1

Automatic integration of Euler-Lagrange equations with constraints

C. W. Gear, B. Leimkuhler, G. K. Gupta

Chemical & Biological Engineering

Research output: Contribution to journal › Article › peer-review

373 Scopus citations

Abstract

Numerical difficulties in the integration of Euler-Lagrange and similar equations are discussed. A technique for reducing their index from three to two is introduced and it is shown that variable-order, variable-step BDF methods converge for these index two problems. The practical application of this reduction in a numerical setting is examined.

Original language	English (US)
Pages (from-to)	77-90
Number of pages	14
Journal	Journal of Computational and Applied Mathematics
Volume	12-13
Issue number	C
DOIs	https://doi.org/10.1016/0377-0427(85)90008-1
State	Published - May 1985

All Science Journal Classification (ASJC) codes

Computational Mathematics
Applied Mathematics

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10.1016/0377-0427(85)90008-1

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title = "Automatic integration of Euler-Lagrange equations with constraints",

abstract = "Numerical difficulties in the integration of Euler-Lagrange and similar equations are discussed. A technique for reducing their index from three to two is introduced and it is shown that variable-order, variable-step BDF methods converge for these index two problems. The practical application of this reduction in a numerical setting is examined.",

author = "Gear, {C. W.} and B. Leimkuhler and Gupta, {G. K.}",

year = "1985",

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T1 - Automatic integration of Euler-Lagrange equations with constraints

AU - Gear, C. W.

AU - Leimkuhler, B.

AU - Gupta, G. K.

PY - 1985/5

Y1 - 1985/5

N2 - Numerical difficulties in the integration of Euler-Lagrange and similar equations are discussed. A technique for reducing their index from three to two is introduced and it is shown that variable-order, variable-step BDF methods converge for these index two problems. The practical application of this reduction in a numerical setting is examined.

AB - Numerical difficulties in the integration of Euler-Lagrange and similar equations are discussed. A technique for reducing their index from three to two is introduced and it is shown that variable-order, variable-step BDF methods converge for these index two problems. The practical application of this reduction in a numerical setting is examined.

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U2 - 10.1016/0377-0427(85)90008-1

DO - 10.1016/0377-0427(85)90008-1

M3 - Article

AN - SCOPUS:0002318219

SN - 0377-0427

VL - 12-13

SP - 77

EP - 90

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - C

ER -

Automatic integration of Euler-Lagrange equations with constraints

Abstract

All Science Journal Classification (ASJC) codes

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