Complex Methods for Inverse Problems
Seiten
2025
De Gruyter (Verlag)
978-3-11-040241-4 (ISBN)
De Gruyter (Verlag)
978-3-11-040241-4 (ISBN)
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The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an international readership of professional scientists and researchers. The series aims to publish works which involve both theory and applications in, e.g., physics, medicine, geophysics, acoustics, electrodynamics, tomography, and ecology.
This book illustrates how to use complex methods to study inverse problems for partial differential equations in two and in higher dimensions, e.g., Calderón problems. Both theoretical aspects and numerical algorithms for inverse problems are discussed. The book is well-suited for researchers working in inverse problems and for graduate students in applied mathematics.
This book illustrates how to use complex methods to study inverse problems for partial differential equations in two and in higher dimensions, e.g., Calderón problems. Both theoretical aspects and numerical algorithms for inverse problems are discussed. The book is well-suited for researchers working in inverse problems and for graduate students in applied mathematics.
Jin Chen, Fudan University, Shanghai, China; Masahiro Yamamoto, The University of Tokyo, Tokyo, Japan
lt;p>Table of Contents
1. Generalized analytic function and first order elliptic systems in the plane
2. Unique continuation on the analytic curve for the harmonic functions in two dimensions
3. Unique continuation on the analytic curse for solution of elliptic equations in high dimensions
4. Numerical algorithms for the unique continuation
5. Inverse scattering method for nonlinear partial differential equations
6. Inverse problems for partial differential equations: Calderon problems
7. Reconstruction algorithms for the inverse problems
Erscheinungsdatum | 10.05.2022 |
---|---|
Reihe/Serie | Inverse and Ill-Posed Problems Series ; 60 |
Zusatzinfo | 10 b/w ill. |
Verlagsort | Berlin/Boston |
Sprache | englisch |
Maße | 170 x 240 mm |
Themenwelt | Mathematik / Informatik ► Mathematik |
Medizin / Pharmazie ► Allgemeines / Lexika | |
Schlagworte | Elliptische Differentialgleichung • Inverse Problems, Complex analysis, Numerical algo • Inverse Problems, Complex analysis, Numerical algorithms, Partial Differential Equations • Inverses Problem • Numerische Mathematik |
ISBN-10 | 3-11-040241-6 / 3110402416 |
ISBN-13 | 978-3-11-040241-4 / 9783110402414 |
Zustand | Neuware |
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