Adjoint Equations and Analysis of Complex Systems

Abstract

Author's Preface to the English Edition. Introduction. Part I: Adjoint Equations and Perturbation Theory. 1. Main and Adjoint Equations. Perturbation Theory. 2. Simple Main and Adjoint Equations in Mathematical Physics. 3. Nonlinear Equations. 4. Inverse Problems and Adjoint Equations. Part II: Problems of Environment and Optimization Methods on the Basis of Adjoint Equations. 5. Analysis of Mathematical Models in Environmental Problems. 6. Adjoint Equations, Optimization. 7. Adjoint Equations and Models of General Circulation of Atmosphere and Ocean. 8. Adjoint Equations in Data Processing Problems. Appendix I: Splitting Methods in the Solution of Global Problems. Appendix II: Difference Analogue of Nonstationary Heat Diffusion Equation in Atmosphere and Ocean. Bibliography. Index.