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Adjoint Equations and Perturbation Algorithms in Nonlinear Problems

Guri I. Marchuk | Valeri I. Agoshkov | Victor P. Shutyaev
€82.99
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A01=Guri I. Marchuk
A01=Valeri I. Agoshkov
A01=Victor P. Shutyaev
Adjoint Equation
Adjoint Operator
Adjoint Problem
Adsorption Kinetic Equation
advanced applied mathematics
Author_Guri I. Marchuk
Author_Valeri I. Agoshkov
Author_Victor P. Shutyaev
Average Pore Water Velocity
Banach Spaces
Category=PBKJ
Category=PBW
Chemical Exchange Processes
computational modeling
conservation laws
data assimilation methods
Dispersion Coefficient
Dual Space
Effective Dispersion Coefficient
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Finite Difference Method
Hilbert Spaces
Lagrange Identity
Linear Operator Mapping
Linear Operator Theory
Mathematical Induction Method
mathematical physics
Non-linear Isotherm
Non-linear Mathematical Model
Non-linear Operator
nonlinear equation analysis in science
Normal Solvability
Perturbation Algorithms
Reflexive Real Banach Space
Soil Water Solution
transport phenomena
Unperturbed Problem
Weak Derivative

Product details

  • ISBN 9780367448585
  • Weight: 640g
  • Dimensions: 156 x 234mm
  • Publication Date: 30 Jun 2020
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Paperback
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Description

Sparked by demands inherent to the mathematical study of pollution, intensive industry, global warming, and the biosphere, Adjoint Equations and Perturbation Algorithms in Nonlinear Problems is the first book ever to systematically present the theory of adjoint equations for nonlinear problems, as well as their application to perturbation algorithms. This new approach facilitates analysis of observational data, the application of adjoint equations to retrospective study of processes governed by imitation models, and the study of computer models themselves. Specifically, the book discusses:

  • Principles for constructing adjoint operators in nonlinear problems
  • Properties of adjoint operators and solvability conditions for adjoint equations
  • Perturbation algorithms using the adjoint equations theory for nonlinear problems in transport theory, quasilinear motion, substance transfer, and nonlinear data assimilation
  • Known results on adjoint equations and perturbation algorithms in nonlinear problems

    This groundbreaking text contains some results that have no analogs in the scientific literature, opening unbounded possibilities in construction and application of adjoint equations to nonlinear problems of mathematical physics.
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    About Guri I. Marchuk | Valeri I. Agoshkov | Victor P. Shutyaev
    Marchuk, Guri I. | Agoshkov, Valeri I. | Shutyaev, Victor P.

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