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Numerical methods in problems of calculus of variations for functionals depending on higher order derivatives. / Tamasyan, G.S.

In: Journal of Mathematical Sciences, Vol. 188, No. 3, 2013, p. 299-321.

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@article{29691f4454b44dc3ba04a958d6afcd89,
title = "Numerical methods in problems of calculus of variations for functionals depending on higher order derivatives",
abstract = "Nonsmooth analysis and the exact penalization theory are used for studying variational problems with functionals depending on higher order derivatives. We obtain the extremum conditions and develop “direct” minimization methods, in particular, the steepest descent method and the hypodifferential descent method.",
keywords = "Nonsmooth analysis, exact penalization theory, steepest descent method, hypodifferential descent method",
author = "G.S. Tamasyan",
year = "2013",
doi = "10.1007/s10958-012-1129-0",
language = "English",
volume = "188",
pages = "299--321",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - Numerical methods in problems of calculus of variations for functionals depending on higher order derivatives

AU - Tamasyan, G.S.

PY - 2013

Y1 - 2013

N2 - Nonsmooth analysis and the exact penalization theory are used for studying variational problems with functionals depending on higher order derivatives. We obtain the extremum conditions and develop “direct” minimization methods, in particular, the steepest descent method and the hypodifferential descent method.

AB - Nonsmooth analysis and the exact penalization theory are used for studying variational problems with functionals depending on higher order derivatives. We obtain the extremum conditions and develop “direct” minimization methods, in particular, the steepest descent method and the hypodifferential descent method.

KW - Nonsmooth analysis

KW - exact penalization theory

KW - steepest descent method

KW - hypodifferential descent method

U2 - 10.1007/s10958-012-1129-0

DO - 10.1007/s10958-012-1129-0

M3 - Article

VL - 188

SP - 299

EP - 321

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 3

ER -

ID: 7367827