Articles liés à Handbook Of Integral Equations

Handbook Of Integral Equations - Couverture rigide

Polyanin, Andrei D.; Manzhirov, Alexander V.

 
9780849328763: Handbook Of Integral Equations
Couverture rigide
ISBN 10 : 0849328764 ISBN 13 : 9780849328763
Editeur : CRC Press Inc, 1998

Synopsis

Integral equations are encountered in various fields of science and in numerous applications, including elasticity, plasticity, heat and mass transfer, oscillation theory, fluid dynamics, filtration theory, electrostatics, electrodynamics, biomechanics, game theory, control, queuing theory, electrical engineering, economics, and medicine.

Exact (closed-form) solutions of integral equations play an important role in the proper understanding of qualitative features of many phenomena and processes in various areas of natural science. Equations of physics, chemistry, and biology contain functions or parameters obtained from experiments - hence, they are not strictly fixed. Therefore, it is expedient to choose the structure of these functions for more easily analyzing and solving the equation. As a possible selection criterion, one may adopt the requirement that the model integral equation admit a solution in a closed form. Exact solutions can be used to verify the consistency and estimate errors of various numerical, asymptotic, and approximate methods.

The first part of Handbook of Integral Equations:

  • Contains more than 2,100 integral equations and their solutions
  • Includes many new exact solutions to linear and nonlinear equations
  • Addresses equations of general form, which depend on arbitrary functions

    Other equations contain one or more free parameters (the book actually deals with families of integral equations); the reader has the option to fix these parameters.

    The second part of the book - chapters 7 through 14 - presents exact, approximate analytical, and numerical methods for solving linear and nonlinear integral equations. Apart from the classical methods, the text also describes some new methods. When selecting the material, the authors emphasize practical aspects of the matter, specifically for methods that allow an effective "constructing" of the solution. Each section provides examples of applicatio

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

    Présentation de l'éditeur

    Integral equations are encountered in various fields of science and in numerous applications, including elasticity, plasticity, heat and mass transfer, oscillation theory, fluid dynamics, filtration theory, electrostatics, electrodynamics, biomechanics, game theory, control, queuing theory, electrical engineering, economics, and medicine.

    Exact (closed-form) solutions of integral equations play an important role in the proper understanding of qualitative features of many phenomena and processes in various areas of natural science. Equations of physics, chemistry, and biology contain functions or parameters obtained from experiments - hence, they are not strictly fixed. Therefore, it is expedient to choose the structure of these functions for more easily analyzing and solving the equation. As a possible selection criterion, one may adopt the requirement that the model integral equation admit a solution in a closed form. Exact solutions can be used to verify the consistency and estimate errors of various numerical, asymptotic, and approximate methods.

    The first part of Handbook of Integral Equations:

  • Contains more than 2,100 integral equations and their solutions
  • Includes many new exact solutions to linear and nonlinear equations
  • Addresses equations of general form, which depend on arbitrary functions

    Other equations contain one or more free parameters (the book actually deals with families of integral equations); the reader has the option to fix these parameters.

    The second part of the book - chapters 7 through 14 - presents exact, approximate analytical, and numerical methods for solving linear and nonlinear integral equations. Apart from the classical methods, the text also describes some new methods. When selecting the material, the authors emphasize practical aspects of the matter, specifically for methods that allow an effective "constructing" of the solution. Each section provides examples of applicatio

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

    Éditeur
    CRC Press Inc
    Date d'édition
    1998
    Langue
    anglais
    ISBN 10 
    0849328764
    ISBN 13 
    9780849328763
    Reliure
    Relié
    Nombre de pages
    787
    Coordonnées du fabricant
    non disponible
    Personne responsable
    non disponible