Adjoint Equations and Perturbation Algorithms in Nonlinear Problems

1. Auflage 2020
ISBN: 978-0-367-44858-5
Verlag: CRC Press

Buch, Englisch, 288 Seiten, Format (B × H): 156 mm x 234 mm, Gewicht: 442 g

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.

Zielgruppe

Undergraduate

Autoren/Hrsg.

Marchuk, Guri I.

Agoshkov, Valeri I.

Shutyaev, Victor P.

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Inhaltsverzeichnis

Principles of Construction of Adjoint Operators in Non-Linear Problems. Properties of Adjoint Operators Constructed on the Basis of Various Principles. Solvability of Main and Adjoint Equations in Non-Linear Problems. Transformation Groups, Conservation Laws and Construction of the Adjoint Operators in Non-Linear Problems. Perturbation Algorithms in Non-Linear Problems. Adjoint Equations and the N-th Order Perturbation Algorithms in Non-Linear Problems of Transport Theory. Adjoint Equations and Perturbation Algorithms for a Quasilinear Equation of Motion. Adjoint Equations and Perturbation Algorithms for a Non-Linear Mathematical Model of Mass Transfer in Soil. Applications of Adjoint Equations in Science and Technology.

Backcover Copy

Über Autor(innen)

Marchuk, Guri I. Agoshkov, Valeri I. Shutyaev, Victor P.