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1.

電子ブック
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1. Invito alle equazioni a derivate parziali : Metodi, modelli e simulazioni
by Sandro Salsa, Federico M. G. Vegni, Anna Zaretti, Paolo Zunino
出版情報: Milano : Springer-Verlag Milan, 2009
シリーズ名: UNITEXT ;
オンライン: http://dx.doi.org/10.1007/978-88-470-1180-9
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2.

電子ブック
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2. A Primer on PDEs : Models, Methods, Simulations
by Sandro Salsa, Federico M. G. Vegni, Anna Zaretti, Paolo Zunino
出版情報: Milano : Springer Milan : Imprint: Springer, 2013
シリーズ名: UNITEXT ;
オンライン: http://dx.doi.org/10.1007/978-88-470-2862-3
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目次情報: 続きを見る
Introduction
Scalar Conservation Laws
Diffusion
The Laplace Equation
Reaction-diffusion models
Waves and vibrations
Elements of Functional Analysis
Variational formulation of elliptic problems
Weak formulation of evolution problems
Solutions
Fourier Series
Notes on ordinary differential equations
Finite difference approximation of time dependent problems
Identities and Formulas
Introduction
Scalar Conservation Laws
Diffusion
3.

電子ブック
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3. Optimal Control of Partial Differential Equations : Analysis, Approximation, and Applications. 1st ed. 2021
by Andrea Manzoni, Alfio Quarteroni, Sandro Salsa
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名: Applied Mathematical Sciences ; 207
オンライン: https://doi.org/10.1007/978-3-030-77226-0
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目次情報: 続きを見る
1 Introduction: Representative Examples, Mathematical Structure
Part I A Preview on Optimization and Control in Finite Dimensions
2 Prelude on Optimization: Finite Dimension Spaces
3 Algorithms for Numerical Optimization
4 Prelude on Control: The Case of Algebraic and ODE Systems
Part II Linear-Quadratic Optimal Control Problems
5 Quadratic control problems governed by linear elliptic PDEs
6 Numerical Approximation of Linear-Quadratic OCPs
7 Quadratic Control Problems Governed by Linear Evolution PDEs
8 Numerical Approximation of Quadratic OCPs Governed by Linear Evolution PDEs
Part III More general PDE-constrained optimization problems
9 A Mathematical Framework for Nonlinear OCPs
10 Advanced Selected Applications
11 Shape Optimization Problems
Appendix A Toolbox of Functional Analysis
Appendix B Toolbox of Numerical Analysis
1 Introduction: Representative Examples, Mathematical Structure
Part I A Preview on Optimization and Control in Finite Dimensions
2 Prelude on Optimization: Finite Dimension Spaces