Adjoint equations and perturbation algorithms in nonlinear problems

by Marchuk, G. I., (Gurii Ivanovich)

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Title Statements

Full title :Adjoint equations and perturbation algorithms in nonlinear problems / Guri I. Marchuk, Valeri I. Agoshkov, and Victor P. Shutyaev.

Edition Statements

Publication Date:©1996.

Publication Statements

Publisher(s):CRC Press
Place of Publication:Boca Raton, Fla
Language:eng
Publication Date:©1996.

The Physical Object

Description:1 online resource (275 pages) : : illustrations

Edition Identifiers

ISBN:9781315136707, 1315136708, 9781351468794, 1351468790
oclc:on1032375248
LC Classification:QC20.7.N6
Dewey Decimal:530.1/55355

Cover -- Title Page -- Copyright Page -- Dedication -- Table of Contents -- Chapter 1. Principles of construction of adjoint operators in non-linear problems -- 1. Dual spaces and adjoint operators -- 2. Construction of adjoint operators based on using the Lagrange identity -- 3. Definition of adjoint operators based on using Taylor's formula -- 4. Operators of the class D and their adjoint operators -- Chapter 2. Properties of adjoint operators constructed on the basis of various principles -- 1. General properties of main and adjoint operators corresponding to non-linear operators -- 2. Properties of operators of the class D -- 3. Properties of adjoint operators constructed with the use of the Taylor formula -- Chapter 3. Solvability of main and adjoint equations in non-linear problems -- 1. Main and adjoint equations. Problems -- 2. Solvability of the equation F(u) = y -- 3. Solvability of the equation A(u) v = y -- 4. Solvability of the equation Ã(u) v = y -- 5. Solvability of the equation A*(u) w = p -- 6. Solvability of the equation Ã*(u) w = p -- Chapter 4. Transformation groups, conservation laws and constructing the adjoint operators in non-linear problems -- 1. Definitio…

Subjects

Adjoint differential equations Algorithmes ALGORITHMS Differential equations, Linear Équations différentielles adjointes Équations différentielles linéaires Mathematical physics Perturbation (Mathematics) Perturbation (Mathématiques) Physique mathématique SCIENCE -- Energy SCIENCE -- Mechanics SCIENCE -- Physics