Journal of inverse and ill-posed problems, ISSN 0928-0219, 1993

Journal

1987, ISBN 9780444427656, xvi, 613

Book

2012, ISBN 052111974X, ages cm

Inverse problems are of interest and importance across many branches of physics, mathematics, engineering and medical imaging...

Wave equation | Inverse problems (Differential equations)

Wave equation | Inverse problems (Differential equations)

Book

2011, Rev. ed., Operator theory, advances and applications, ISBN 0821853163, Volume 22, xiii, 393

Book

2012, Matlab ed., 3rd ed., International Geophysics, ISBN 0123971608, 293

"The treatment of inverse theory in this book is divided into four parts. Chapters 1 and 2 provide a general background, explaining what inverse problems...

Measurement | Inverse problems (Differential equations) | Oceanography | Numerical solutions | Geophysics

Measurement | Inverse problems (Differential equations) | Oceanography | Numerical solutions | Geophysics

Book

Journal of computational physics, ISSN 0021-9991, 2017, Volume 348, pp. 683 - 693

.... Such equations involve, but are not limited to, ordinary and partial differential, integro-differential, and fractional order operators...

Uncertainty quantification | Inverse problems | Fractional differential equations | Functional genomics | Probabilistic machine learning | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MODELS | PHYSICS, MATHEMATICAL | Analysis | Differential equations | Gaussian processes | Machine learning | Mechanical engineering

Uncertainty quantification | Inverse problems | Fractional differential equations | Functional genomics | Probabilistic machine learning | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MODELS | PHYSICS, MATHEMATICAL | Analysis | Differential equations | Gaussian processes | Machine learning | Mechanical engineering

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) | Applied Mathematics | Inverse scattering problem | Shape identification | Boundary condition | Sampling method | Factorization method

Inverse problems (Differential equations) | Factorization (Mathematics) | Applied Mathematics | Inverse scattering problem | Shape identification | Boundary condition | Sampling method | Factorization method

Book

1995, 1, Pitman research notes in mathematics series, ISBN 0582273706, Volume 327., 134

The conjugate gradient method is a powerful tool for the iterative solution of self-adjoint operator equations in Hilbert...

Improperly posed problems | Conjugate gradient methods | Numerical analysis | Applied Mathematics | Differential Equations | Mathematical Analysis | Numerical analysis-Improperly posed problems

Improperly posed problems | Conjugate gradient methods | Numerical analysis | Applied Mathematics | Differential Equations | Mathematical Analysis | Numerical analysis-Improperly posed problems

Book

2017, ISBN 9783319627960, 264

This book presents a systematic exposition of the main ideas and methods in treating inverse problems for PDEs arising in basic mathematical models, though...

Inverse problems (Differential equations) | Mathematics | Computational Science and Engineering | Mathematics of Computing | Numerical Analysis | Theoretical, Mathematical and Computational Physics | Partial Differential Equations

Inverse problems (Differential equations) | Mathematics | Computational Science and Engineering | Mathematics of Computing | Numerical Analysis | Theoretical, Mathematical and Computational Physics | Partial Differential Equations

eBook

2018, ISBN 9789813220966, xiv, 604 pages

Book

12.
Full Text
Inverse problems

: mathematical and analytical techniques with applications to engineering

2005, ISBN 0387231951, 458

Inverse Problems is a monograph which contains a self-contained presentation of the theory of several major inverse problems and the closely related results from the theory of ill-posed problems...

Engineering mathematics | Inverse problems (Differential equations) | Engineering | Ordinary Differential Equations | Applications of Mathematics | Mathematical and Computational Physics | Appl.Mathematics/Computational Methods of Engineering | Image Processing and Computer Vision

Engineering mathematics | Inverse problems (Differential equations) | Engineering | Ordinary Differential Equations | Applications of Mathematics | Mathematical and Computational Physics | Appl.Mathematics/Computational Methods of Engineering | Image Processing and Computer Vision

eBook

Bayesian analysis, ISSN 1936-0975, 2016, Volume 11, Issue 4, pp. 1239 - 1267

We explore probability modelling of discretization uncertainty for system states defined implicitly by ordinary or partial differential equations...

Uncertainty in computer models | Uncertainty quantification | Differential equation models | Bayesian numerical analysis | Gaussian processes | differential equation models | uncertainty quantification | uncertainty in computer models | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | PARAMETER-ESTIMATION | INVERSE PROBLEMS | STATISTICS & PROBABILITY | MODEL-REDUCTION | ERROR | LIKELIHOOD

Uncertainty in computer models | Uncertainty quantification | Differential equation models | Bayesian numerical analysis | Gaussian processes | differential equation models | uncertainty quantification | uncertainty in computer models | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | PARAMETER-ESTIMATION | INVERSE PROBLEMS | STATISTICS & PROBABILITY | MODEL-REDUCTION | ERROR | LIKELIHOOD

Journal Article

2011, 1. Aufl., Wiley series in computational statistics, ISBN 0470685867, xv, 372

This book focuses on computational methods for large-scale statistical inverse problems and provides an introduction to statistical Bayesian and frequentist methodologies...

Bayesian statistical decision theory | Inverse problems (Differential equations) | Mathematical optimization | MATHEMATICS | Probability & Statistics | General | Statistics

Bayesian statistical decision theory | Inverse problems (Differential equations) | Mathematical optimization | MATHEMATICS | Probability & Statistics | General | Statistics

Book

Journal of computational physics, ISSN 0021-9991, 2019, Volume 378, Issue C, pp. 686 - 707

We introduce physics-informed neural networks – neural networks that are trained to solve supervised learning tasks while respecting any given laws of physics described by general nonlinear partial differential equations...

Nonlinear dynamics | Data-driven scientific computing | Predictive modeling | Runge–Kutta methods | Machine learning | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | INFORMATION | Runge-Kutta methods | ALGORITHMS | PHYSICS, MATHEMATICAL | Nonlinear equations | Partial differential equations | Computational fluid dynamics | Nonlinear differential equations | Water waves | Inverse problems | Wave propagation | Neural networks | Quantum mechanics | Runge-Kutta method | Mathematical models | Artificial intelligence | MATHEMATICS AND COMPUTING

Nonlinear dynamics | Data-driven scientific computing | Predictive modeling | Runge–Kutta methods | Machine learning | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | INFORMATION | Runge-Kutta methods | ALGORITHMS | PHYSICS, MATHEMATICAL | Nonlinear equations | Partial differential equations | Computational fluid dynamics | Nonlinear differential equations | Water waves | Inverse problems | Wave propagation | Neural networks | Quantum mechanics | Runge-Kutta method | Mathematical models | Artificial intelligence | MATHEMATICS AND COMPUTING

Journal Article

2014, Volume 660

Partial differential equations -- Miscellaneous topics -- Inverse problems | Partial differential equations -- Elliptic equations and systems -- Laplacian operator, reduced wave equation (Helmholtz equation), Poisson equation | Partial differential equations -- Elliptic equations and systems -- Boundary value problems for second-order elliptic equations | Partial differential equations -- Qualitative properties of solutions -- Dependence of solutions on initial and boundary data, parameters | Partial differential equations -- Qualitative properties of solutions -- Periodic solutions | Signal processing | Differential equations, Partial | Numerical analysis -- Partial differential equations, boundary value problems -- Error bounds | Partial differential equations -- Miscellaneous topics -- Partial differential equations with randomness, stochastic partial differential equations | Geophysics -- Geophysics -- Seismology | Numerical analysis -- Numerical methods in Fourier analysis -- Wavelets

Conference Proceeding

2001, Chapman & Hall/CRC research notes in mathematics series, ISBN 1584882522, Volume 427, xi, 261

Book

1990, ISBN 0306431645, 255

Book

1998, Applied mathematical sciences, ISBN 0387982566, Volume 127, vii, 284

Book

Journal of inverse and ill-posed problems, ISSN 1569-3945, 2019, Volume 27, Issue 3, pp. 301 - 315

In the present study, a source identification problem for a one-dimensional hyperbolic equation is investigated...

Source identification problem | 35L90 | hyperbolic differential equation | 65L20 | 34H05 | difference scheme | 35N30 | MATHEMATICS | MATHEMATICS, APPLIED | INVERSE PROBLEM | ELLIPTIC EQUATION | RIGHT-HAND SIDE | PARAMETER | Identification | Difference equations | Dimensional stability | Differential equations

Source identification problem | 35L90 | hyperbolic differential equation | 65L20 | 34H05 | difference scheme | 35N30 | MATHEMATICS | MATHEMATICS, APPLIED | INVERSE PROBLEM | ELLIPTIC EQUATION | RIGHT-HAND SIDE | PARAMETER | Identification | Difference equations | Dimensional stability | Differential equations

Journal Article

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