| Softcover ISBN: | 978-1-4704-6968-9 |
| Product Code: | CONM/784 |
| List Price: | $130.00 |
| MAA Member Price: | $117.00 |
| AMS Member Price: | $104.00 |
| eBook ISBN: | 978-1-4704-7288-7 |
| Product Code: | CONM/784.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| Softcover ISBN: | 978-1-4704-6968-9 |
| eBook: ISBN: | 978-1-4704-7288-7 |
| Product Code: | CONM/784.B |
| List Price: | $255.00 $192.50 |
| MAA Member Price: | $229.50 $173.25 |
| AMS Member Price: | $204.00 $154.00 |
| Softcover ISBN: | 978-1-4704-6968-9 |
| Product Code: | CONM/784 |
| List Price: | $130.00 |
| MAA Member Price: | $117.00 |
| AMS Member Price: | $104.00 |
| eBook ISBN: | 978-1-4704-7288-7 |
| Product Code: | CONM/784.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| Softcover ISBN: | 978-1-4704-6968-9 |
| eBook ISBN: | 978-1-4704-7288-7 |
| Product Code: | CONM/784.B |
| List Price: | $255.00 $192.50 |
| MAA Member Price: | $229.50 $173.25 |
| AMS Member Price: | $204.00 $154.00 |
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Book DetailsContemporary MathematicsVolume: 784; 2023; 206 ppMSC: Primary 49; 65; 78; 80; 86
This volume contains the proceedings of two AMS Special Sessions “Recent Developments on Analysis and Computation for Inverse Problems for PDEs,” virtually held on March 13–14, 2021, and “Recent Advances in Inverse Problems for Partial Differential Equations,” virtually held on October 23–24, 2021.
The papers in this volume focus on new results on numerical methods for various inverse problems arising in electrical impedance tomography, inverse scattering in radar and optics problems, reconstruction of initial conditions, control of acoustic fields, and stock price forecasting. The authors studied iterative and non-iterative approaches such as optimization-based, globally convergent, sampling, and machine learning-based methods.
The volume provides an interesting source on advances in computational inverse problems for partial differential equations.
ReadershipGraduate students and research mathematicians interested in partial differential equations and numerical methods for inverse problems.
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Table of Contents
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Articles
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Ugur G. Abdulla and Saleheh Seif — Discretization and convergence of the EIT optimal control problem in Sobolev spaces with dominating mixed smoothness
-
Thuy T. Le — Global reconstruction of initial conditions of nonlinear parabolic equations via the Carleman-contraction method
-
Isaac Harris — Regularization of the factorization method with applications to inverse scattering
-
Thu Le, Dinh-Liem Nguyen, Vu Nguyen and Trung Truong — Sampling type method combined with deep learning for inverse scattering with one incident wave
-
Dinh-Liem Nguyen and Trung Truong — Fast numerical solutions to direct and inverse scattering for bi-anisotropic periodic Maxwell’s equations
-
Loc H. Nguyen and Huong T.T. Vu — Reconstructing a space-dependent source term via the quasi-reversibility method
-
Quyen Tran — Convergence analysis of Nédélec finite element approximations for a stationary Maxwell’s system
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Mikhail V. Klibanov, Kirill V. Golubnichiy and Andrey V. Nikitin — Quasi-reversibility method and neural network machine learning for forecasting of stock option prices
-
Vo Anh Khoa, Michael Victor Klibanov, William Grayson Powell and Loc Hoang Nguyen — Numerical reconstruction for 3D nonlinear SAR imaging via a version of the convexification method
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Vo Anh Khoa, Mai Thanh Nhat Truong, Imhotep Hogan and Roselyn Williams — Initial state reconstruction on graphs
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Lander Besabe and Daniel Onofrei — Active control of scalar Helmholtz fields in the presence of known impenetrable obstacles
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-
Additional Material
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
This volume contains the proceedings of two AMS Special Sessions “Recent Developments on Analysis and Computation for Inverse Problems for PDEs,” virtually held on March 13–14, 2021, and “Recent Advances in Inverse Problems for Partial Differential Equations,” virtually held on October 23–24, 2021.
The papers in this volume focus on new results on numerical methods for various inverse problems arising in electrical impedance tomography, inverse scattering in radar and optics problems, reconstruction of initial conditions, control of acoustic fields, and stock price forecasting. The authors studied iterative and non-iterative approaches such as optimization-based, globally convergent, sampling, and machine learning-based methods.
The volume provides an interesting source on advances in computational inverse problems for partial differential equations.
Graduate students and research mathematicians interested in partial differential equations and numerical methods for inverse problems.
-
Articles
-
Ugur G. Abdulla and Saleheh Seif — Discretization and convergence of the EIT optimal control problem in Sobolev spaces with dominating mixed smoothness
-
Thuy T. Le — Global reconstruction of initial conditions of nonlinear parabolic equations via the Carleman-contraction method
-
Isaac Harris — Regularization of the factorization method with applications to inverse scattering
-
Thu Le, Dinh-Liem Nguyen, Vu Nguyen and Trung Truong — Sampling type method combined with deep learning for inverse scattering with one incident wave
-
Dinh-Liem Nguyen and Trung Truong — Fast numerical solutions to direct and inverse scattering for bi-anisotropic periodic Maxwell’s equations
-
Loc H. Nguyen and Huong T.T. Vu — Reconstructing a space-dependent source term via the quasi-reversibility method
-
Quyen Tran — Convergence analysis of Nédélec finite element approximations for a stationary Maxwell’s system
-
Mikhail V. Klibanov, Kirill V. Golubnichiy and Andrey V. Nikitin — Quasi-reversibility method and neural network machine learning for forecasting of stock option prices
-
Vo Anh Khoa, Michael Victor Klibanov, William Grayson Powell and Loc Hoang Nguyen — Numerical reconstruction for 3D nonlinear SAR imaging via a version of the convexification method
-
Vo Anh Khoa, Mai Thanh Nhat Truong, Imhotep Hogan and Roselyn Williams — Initial state reconstruction on graphs
-
Lander Besabe and Daniel Onofrei — Active control of scalar Helmholtz fields in the presence of known impenetrable obstacles
