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4 مرتبه مشاهده شده
Numerical Approximation of Exact Controls for Waves
Ervedoza, Sylvain
- ISBN:9781461458074
- Main Entry: Ervedoza, Sylvain
- Title:Numerical Approximation of Exact Controls for Waves/ Sylvain Ervedoza, Enrique Zuazua.
- Publisher:London, Springer, 2010.
- Added Entry:Zuazua, Enrique.
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محتواي کتاب
- مشاهده
- Cover
- Numerical Approximation of Exact Controls for Waves
- ISBN 9781461458074 ISBN 9781461458081
- Preface
- Acknowledgments
- Contents
- Introduction
- Numerical Approximation of Exact Controls for Waves
- 1.1 Introduction
- 1.2 Main Results 1.2.1 An "Algorithm" in an Infinite-Dimensional Setting
- 1.3 Proof of the Main Result on the Continuous Setting
- 1.4 The Continuous Approach
- 1.5 Improved Convergence Rates: The Discrete Approach
- 1.6 Advantages of the Discrete Approach
- 1.7 Application to the Wave Equation
- 1.8 A Data Assimilation Problem
- Observability for the 1d Finite-Difference Wave Equation
- Convergence of the Finite-Difference Method for the 1-d Wave Equation with Homogeneous Dirichlet Boundary Conditions
- Convergence with Nonhomogeneous Boundary Conditions
- Further Comments and Open Problems
- References