Adjoint Equations and Analysis of Complex Systems
New statements of problems arose recently demanding thorough ana lysis. 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 nonl...
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| Format: | eBook |
| Language: | English |
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Dordrecht
Springer Netherlands
1995, 1995
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| Edition: | 1st ed. 1995 |
| Series: | Mathematics and Its Applications
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| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- I. Adjoint Equations and Perturbation Theory
- 1. Main and Adjoint Equations. Perturbation Theory
- 2. Simple Main and Adjoint Equations of Mathematical Physics
- 3. Nonlinear Equations
- 4. Inverse Problems and Adjoint Equations
- 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
- 1. Splitting Methods for Solution of Non-Stationary Problems
- 2. Multicomponent Splitting of Problems
- 3. An Example of Application: Two-Dimensional Problem with Constant Coefficients
- Appendix II: Difference Analogue of Non-Stationary Heat Diffusion Equation in Atmosphere and Ocean