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2012, ISBN 052111974X, ages cm
Inverse problems are of interest and importance across many branches of physics, mathematics, engineering and medical imaging... 
Wave equation | Mathematics | Inverse problems (Differential equations)
Book
2016, CBMS-NSF regional conference series in applied mathematics, ISBN 1611974453, Volume 88, x, 193 pages
Book
2001, Chapman & Hall/CRC research notes in mathematics series, ISBN 1584882522, Volume 427, xi, 261
Book
Inverse Problems, ISSN 0266-5611, 09/2015, Volume 31, Issue 9, pp. 93001 - 93021
Journal Article
Nonlinearity, ISSN 0951-7715, 02/2016, Volume 29, Issue 3, pp. 915 - 946
... out. The direct and inverse scattering problems are analyzed. Key symmetries of the eigenfunctions and scattering data and conserved quantities are obtained... 
left-right Riemann-Hilbert problem | integrable nonlocal NLS equation | PT symmetry | MATHEMATICS, APPLIED | PHYSICS, MATHEMATICAL | Inverse scattering | Mathematical analysis | Transforms | Solitons | Nonlinearity | Evolution | Schroedinger equation | Cauchy problem
Journal Article
SIAM Journal on Applied Mathematics, ISSN 0036-1399, 2016, Volume 76, Issue 3, pp. 1000 - 1030
Journal Article
2002, ISBN 0126137609, 2 v. (xxi, 1831 p.)
Scattering is the collision of two objects that results in a change of trajectory and energy... 
Scattering (Mathematics) | Scattering (Physics)
Book
Computers and Mathematics with Applications, ISSN 0898-1221, 03/2019, Volume 77, Issue 6, pp. 1681 - 1702
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 10/2012, Volume 253, Issue 8, pp. 2380 - 2419
.... One motivation for this investigation comes from the Camassa–Holm equation for which the solution of the Cauchy problem can be achieved by the inverse scattering transform for −u″+14u=λwu. 
Camassa–Holm equation | Inverse scattering theory | Left-definite problems | Scattering theory | Camassa-Holm equation | SPECTRAL THEORY | MATHEMATICS | BREAKING | LINE | CRITERION | SHALLOW-WATER EQUATION | OPERATORS | CIRCLE | Atmospheric physics | Naturvetenskap | Mathematics | Natural Sciences | Matematik
Journal Article
Inverse Problems, ISSN 0266-5611, 02/2012, Volume 28, Issue 2, pp. 025003 - 11
In this work we present a novel sampling method for time harmonic inverse medium scattering problems... 
PHYSICS, MATHEMATICAL | MATHEMATICS, APPLIED | Scattering | Inhomogeneous media | Tools | Derivation | Sampling methods | Mathematical models | Inverse | Computational efficiency | Three dimensional
Journal Article
ACM Transactions on Mathematical Software (TOMS), ISSN 0098-3500, 12/2019, Volume 45, Issue 4, pp. 1 - 20
Journal Article
JOURNAL OF MATHEMATICAL PHYSICS, ISSN 0022-2488, 10/2014, Volume 55, Issue 10, p. 103502
.... This problem arises in particular in the acoustic tomography of moving fluid. We consider linearized and nonlinearized reconstruction algorithms for this problem of inverse scattering... 
TRANSFORM | POTENTIALS | FIXED-ENERGY | PHYSICS, MATHEMATICAL | DEPENDENT SCHRODINGER-EQUATION | Mathematics | Functional Analysis | Mathematical Physics | Analysis of PDEs | TOMOGRAPHY | DISTURBANCES | WAVE EQUATIONS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | INVERSE SCATTERING PROBLEM | PERTURBATION THEORY | ALGORITHMS | TWO-DIMENSIONAL CALCULATIONS
Journal Article
Inverse Problems, ISSN 0266-5611, 10/2013, Volume 29, Issue 10, pp. 104011 - 21
...) > 0 and the accumulation point 1 of the eigenvalues of the scattering operator S(k) when k approaches k sub(0... 
Operators | Inverse problems | Scattering | Transforms | Far fields | Eigenvalues | Inhomogeneous media | Constants | Factorization
Journal Article
2008, Oxford lecture series in mathematics and its applications, ISBN 9780199213535, Volume 36, xiv, 201
This book is devoted to problems of shape identification in the context of (inverse) scattering problems and problems of impedance tomography... 
Inverse problems (Differential equations) | Factorization (Mathematics) | Inverse scattering problem | Shape identification | Boundary condition | Sampling method | Factorization method
Book
New Journal of Physics, ISSN 1367-2630, 02/2019, Volume 21, Issue 2, p. 22001
...) for reactive molecular systems using feedback from quantum scattering calculations. The method is designed to correct for the uncertainties of quantum chemistry... 
bayesian optimization | gaussian processes | inverse scattering problem | APPROXIMATION | PHYSICS, MULTIDISCIPLINARY | POTENTIAL-ENERGY SURFACES | RESONANCES | Potential energy | Organic chemistry | Quantum chemistry | Inverse scattering | Mathematical analysis | Machine learning | Feedback loops | Bayesian analysis | Optimization | Physics - Chemical Physics
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 03/2014, Volume 55, Issue 3, p. 31506
Journal Article
Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 03/2020, Volume 82, p. 105056
...–Shabat scattering problem and the Ablowitz–Ladik problems.•A simple intuitive derivation of the discrete Darboux transformation is provided for each of the discrete systems considered... 
Zakharov–Shabat problem | Direct scattering | Nonlinear fourier transform | MATHEMATICS, APPLIED | Zakharov-Shabat problem | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | INVERSE SCATTERING | PHYSICS, FLUIDS & PLASMAS | EQUATIONS | PHYSICS, MATHEMATICAL
Journal Article
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