Adjoint Equations and Perturbation Algorithms in Nonlinear Problems

The material in this book is illustrated both with simple examples and with more complex results of numerical experiments. So, the authors of the monograph try to attract the attention of a more or less wide circle of researchers to new approaches which can result in some impulse to the creation of new technologies of planning the experiments, and the investigation of complex systems while solving applied problems.

Sommario

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

Info autore

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

Riassunto

This book presents the theory of adjoint equations in nonlinear problems and their applications to perturbation algorithms for solution of nonlinear problems in mathematical physics. It formulates a series of principles of construction of adjoint operators in nonlinear problems.

Dettagli sul prodotto

• Autori: Valeri I Agoshkov, Valeri I. Agoshkov, Agoshkov Valeri I., Guri I Marchuk, Guri I. Marchuk, Guri I. Agoshkov Marchuk, Marchuk Guri I., Victor P Shutyaev, Victor P. Shutyaev
• Editore: Taylor & Francis Ltd.
• Lingue: Inglese
• Formato: Tascabile
• Pubblicazione: 30.06.2020
• EAN: 9780367448585
• ISBN: 978-0-367-44858-5
• Pagine: 288
• Categorie: Scienze naturali, medicina, informatica, tecnica > Matematica > Altro; MATHEMATICS / Applied, MATHEMATICS / Differential Equations / General, Differential calculus & equations, Applied mathematics, Differential calculus and equations