Multiparameter Eigenvalue Problems: methods and algorithms - Couverture souple

Podlevskyi, Bohdan; Khlobystov, Volodymyr; Yaroshko, Oksana

 
9783659491863: Multiparameter Eigenvalue Problems: methods and algorithms
Couverture souple
ISBN 10 : 3659491861 ISBN 13 : 9783659491863
Editeur : LAP LAMBERT Academic Publishing, 2017

Synopsis

Many theoretical and applied questions of mathematical physics, mechanics and other sciences form spectral problems for operator-valued functions that linearly or nonlinearly depend on two or more parameters, so-called two-parameter or multiparameter spectral problems. In this book the two approaches to the variational formulation of problems of solving both linear and nonlinear multiparameter spectral problems are proposed. There are presented and proved the algorithms for their solution. For two-parameter problems, some modifications of the algorithms for solving them in spectral formulation are offered. In particular, there are presented the application of numerical algorithms for finding the branching lines and calculating the bifurcation points of solutions of one class of nonlinear integral equations which arise in the theory of the radiation systems synthesis. The book can be useful for scientific and scientifically technological researchers who are involved in the development and application of approximate methods for solving multiparameter spectral problems. It can also be useful for postgraduate students and students of senior courses specialized in applied mathematic.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

Many theoretical and applied questions of mathematical physics, mechanics and other sciences form spectral problems for operator-valued functions that linearly or nonlinearly depend on two or more parameters, so-called two-parameter or multiparameter spectral problems. In this book the two approaches to the variational formulation of problems of solving both linear and nonlinear multiparameter spectral problems are proposed. There are presented and proved the algorithms for their solution. For two-parameter problems, some modifications of the algorithms for solving them in spectral formulation are offered. In particular, there are presented the application of numerical algorithms for finding the branching lines and calculating the bifurcation points of solutions of one class of nonlinear integral equations which arise in the theory of the radiation systems synthesis. The book can be useful for scientific and scientifically technological researchers who are involved in the development and application of approximate methods for solving multiparameter spectral problems. It can also be useful for postgraduate students and students of senior courses specialized in applied mathematic.

Biographie de l'auteur

Podlevskyi B.M. – Doctor of Sciences, Leading researcher of the Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine, Lviv. Khlobystov V.V. – Doctor of Sciences, professor at the Institute of Mathematics of NAS of Ukraine, Kyiv.Yaroshko O.S. – Master degree, lecturer at Ivan Franko National University, Lviv, Ukraine.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2017
Langue
anglais
ISBN 10 
3659491861
ISBN 13 
9783659491863
Reliure
Broché
Nombre de pages
184
Coordonnées du fabricant
non disponible
Personne responsable
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