Marchuk G.I. Adjoint Equations and Analysis of Complex Systems

Springer Science, Dordrecht, 1995. – 474 p.
New statements of problems arose recently demanding thorough analysis. Notice, first of all, the statements of problems using adjoint equations which gradually became part of our life. Adjoint equations are capable to bring fresh ideas to various problems of new technology based on linear and nonlinear processes. They became part of golden fund of science through quantum mechanics, theory of nuclear reactors, optimal control, and finally helped in solving many problems on the basis of perturbation method and sensitivity theory. To emphasize the important role of adjoint problems in science one should mention four-dimensional analysis problem and solution of inverse problems.Adjoint equations and perturbation theory
Main and Adjoint Equations. Perturbation Theory
Simple Main and Adjoint Equations of Mathematical Physics
Nonlinear Equations
Inverse Problems and Adjoint Equations
Problems of environment and optimization methods on the basis of adjoint equations
Analysis of Mathematical Models in Environmental Problems
Adjoint Equations, Optimization
Adjoint Equations and Models of General Circulation of Atmosphere and Ocean
Adjoint Equations in Data Processing Problems
Appendix