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65n20 (70) 70
mathematics, applied (57) 57
mathematics (44) 44
mathematical analysis (22) 22
convergence (21) 21
computer science, theory & methods (20) 20
65f10 (19) 19
algorithms (19) 19
65n21 (18) 18
regularization (18) 18
ill-posed problems (17) 17
mathematics, general (17) 17
inverse problems (16) 16
computational mathematics and numerical analysis (13) 13
iterative methods (12) 12
applications of mathematics (11) 11
mathematical models (11) 11
theoretical, mathematical and computational physics (11) 11
algebra (10) 10
analysis (10) 10
numerical analysis (10) 10
65n12 (9) 9
65n30 (9) 9
47j06 (8) 8
approximation (8) 8
elliptic problems (8) 8
optimization (8) 8
preconditioning (8) 8
boundary value problems (7) 7
cauchy problem (7) 7
computer science (7) 7
finite elements (7) 7
mathematical research (7) 7
preconditioners (7) 7
research (7) 7
appl.mathematics/computational methods of engineering (6) 6
boundaries (6) 6
discretization (6) 6
domain decomposition (6) 6
engineering, multidisciplinary (6) 6
estimates (6) 6
linear systems (6) 6
mathematics, interdisciplinary applications (6) 6
numeric computing (6) 6
regularization methods (6) 6
studies (6) 6
subject classifications: ams: 65n20, cr: g1.8 (6) 6
theory of computation (6) 6
47a52 (5) 5
65j20 (5) 5
65m32 (5) 5
algorithmus (5) 5
ams subject classifications: 65f10, 65n20 (5) 5
computer science, software, graphics, programming (5) 5
fundamental-solutions (5) 5
ill posed problems (5) 5
ill-posed problem (5) 5
iterationsverfahren (5) 5
mathematical methods in physics (5) 5
methods (5) 5
robustness (5) 5
stability (5) 5
systems (5) 5
65f22 (4) 4
cauchy problems (4) 4
differential equations (4) 4
diffusion (4) 4
error analysis (4) 4
functions, inverse (4) 4
interpolation (4) 4
mathematical and computational engineering (4) 4
mathematical applications in computer science (4) 4
mathematical applications in the physical sciences (4) 4
mathematics - numerical analysis (4) 4
methode der finiten elemente (4) 4
multigrid methods (4) 4
nonlinearity (4) 4
numerical and computational physics (4) 4
reconstruction (4) 4
subject classifications: ams: 65n20, cr: 5.17 (4) 4
tikhonov regularization (4) 4
uniqueness (4) 4
35r30 (3) 3
algebraic multigrid (3) 3
algorithm (3) 3
ams subject classification: 65n20 (3) 3
ams subject classifications: 65f10, 65n20, 65n30 (3) 3
block-tridiagonal matrices (3) 3
conjugate gradient method (3) 3
conjugate gradients (3) 3
derivatives (3) 3
dirichlet problem (3) 3
elliptic equation (3) 3
elliptic partial differential equations (3) 3
equations (3) 3
finite element method (3) 3
helmholtz equation (3) 3
helmholtz equations (3) 3
hermitian splitting methods (3) 3
image restoration (3) 3
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Journal Article
Journal of Scientific Computing, ISSN 0885-7474, 1/2019, Volume 78, Issue 1, pp. 226 - 245
Inspired by the method (Li, Ji and Zhou in J Sci Comput, 2018, https://doi.org/10.1007/s10915-018-0774-y ) using a dynamics of points on virtual geometric... 
Equality constrained saddles | Computational Mathematics and Numerical Analysis | 58E05 | Constrained local minimax method | 35A15 | Theoretical, Mathematical and Computational Physics | Mathematics | Implementation | Convergence | Virtual geometric objects | Algorithms | Mathematical and Computational Engineering | 49M05 | 65N20
Journal Article
Journal of Scientific Computing, ISSN 0885-7474, 1/2019, Volume 78, Issue 1, pp. 202 - 225
By a dynamics of points on virtual geometric objects such as curves, surfaces, etc., with a flexible endpoint, this paper is to develop a new local minimax... 
Computational Mathematics and Numerical Analysis | 58E05 | 35A15 | Theoretical, Mathematical and Computational Physics | Mathematics | Implementation | Local minimax method | Convergence | Virtual geometric objects | Algorithms | Mathematical and Computational Engineering | Saddles | 49M05 | 65N20
Journal Article
Journal of Inverse and Ill-posed Problems, ISSN 0928-0219, 02/2019, Volume 27, Issue 1, pp. 1 - 16
In this paper, we consider an inverse space-dependent source problem for a time-fractional diffusion equation by an adjoint problem approach; that is, to... 
conjugate gradientalgorithm | 65N21 | uniqueness | Tikhonov regularization | Inverse spatial source problem | 65N20 | conjugate gradient algorithm | MATHEMATICS | MATHEMATICS, APPLIED | TRANSPORT | IDENTIFY | Regularization methods | Regularization
Journal Article
Numerische Mathematik, ISSN 0029-599X, 10/2018, Volume 140, Issue 2, pp. 449 - 478
Journal Article
Journal of Inverse and Ill-posed Problems, ISSN 0928-0219, 10/2019, Volume 27, Issue 5, pp. 657 - 669
A method based on least squares support vector machines (LS-SVM) is proposed to solve the source inverse problem of wave equations. Contrary to the most... 
68T99 | least squares support vector machines | Wave equations | 34A55 | approximate solutions | source inverse problem | 35L20 | 65M32 | 65N20 | MATHEMATICS | MATHEMATICS, APPLIED | BOUNDARY-VALUE-PROBLEMS | NEURAL-NETWORK METHOD | Support vector machines | Inverse problems | Approximation | Robustness (mathematics) | Initial conditions | Boundary conditions
Journal Article
Numerische Mathematik, ISSN 0029-599X, 9/2015, Volume 131, Issue 1, pp. 33 - 57
In this paper we analyze a second order method for regularizing nonlinear inverse problems, which comes from adapting Halley’s method to the ill-posed... 
Mathematical Methods in Physics | 65F22 | Numerical Analysis | Theoretical, Mathematical and Computational Physics | Appl.Mathematics/Computational Methods of Engineering | Numerical and Computational Physics | Mathematics, general | Mathematics | 65N20 | MATHEMATICS, APPLIED | CONVERGENCE
Journal Article
Numerical algorithms, ISSN 1572-9265, 2018, Volume 79, Issue 3, pp. 825 - 851
Journal Article
Journal of Inverse and Ill-posed Problems, ISSN 0928-0219, 08/2018, Volume 26, Issue 4, pp. 541 - 550
The problem of correlating the error estimates at a point and on a correctness class is of interest to many mathematicians. Since the desired solution to a... 
Ill-posed problem | error estimate on a set | error estimate at a point | regularization | 65N20 | MATHEMATICS | MATHEMATICS, APPLIED | Fuzzy sets | Mathematical research | Functions, Inverse | Error functions | Set theory | Research | Points (Geometry) | Ill-posed problems (mathematics) | Error correction
Journal Article
Journal of Inverse and Ill-posed Problems, ISSN 0928-0219, 08/2018, Volume 26, Issue 4, pp. 493 - 499
This article presents the solution of a special inverse elastography problem: knowing vertical displacements of compressed biological tissue to find a... 
Young’s modulus | inverse problem | 65N12 | quasisolutions | a posteriori error estimates | 65N21 | Elastography | 65N30 | 65N20 | Young's modulus | MATHEMATICS | MATHEMATICS, APPLIED | Mathematical research | Functions, Inverse | Elasticity | Models | Research | Tissues | Properties | Parameter modification | Inverse problems | Differential equations | Compacts | Modulus of elasticity | Inclusions | Strain
Journal Article
Computational Methods in Applied Mathematics, ISSN 1609-4840, 04/2019, Volume 19, Issue 2, pp. 323 - 339
We are concerned with the wave propagation in a homogeneous 2D or 3D membrane Ω of finite size. We assume that either the membrane is initially at rest or we... 
65N15 | Satisfier Function | 65N12 | Inverse Wave Problem | 65N21 | Hyperbolic Equation | 65N20 | MATHEMATICS, APPLIED | HEAT-SOURCE | ELASTIC FORCE | INVERSE PROBLEMS | OPTIMIZATION | BOUNDARY CONTROL | FUNDAMENTAL-SOLUTIONS | Time dependence | Wave propagation | Inverse problems | Estimation | Displacement
Journal Article
Numerische Mathematik, ISSN 0029-599X, 11/2015, Volume 131, Issue 3, pp. 517 - 540
Journal Article
Journal of Inverse and Ill-posed Problems, ISSN 0928-0219, 12/2018, Volume 26, Issue 6, pp. 835 - 857
We introduce the concept of very weak solution to a Cauchy problem for elliptic equations. The Cauchy problem is regularized by a well-posed non-local boundary... 
ill-posed problems | regularization | 65N60 | 35J15 | non-local boundary value problems | very weak solution | finite difference scheme | Cauchy problem | elliptic equation | 65N20 | MATHEMATICS | MATHEMATICS, APPLIED | INVERSE | Viscosity | Boundary value problems | Cauchy problems | Mathematical analysis | Elliptic functions | Well posed problems | Finite difference method
Journal Article
BIT Numerical Mathematics, ISSN 0006-3835, 9/2016, Volume 56, Issue 3, pp. 919 - 949
Journal Article
Applicable Analysis: Multiscale Inverse Problems, ISSN 0003-6811, 01/2018, Volume 97, Issue 1, pp. 3 - 12
Journal Article
Bulletin of the Malaysian Mathematical Sciences Society, ISSN 0126-6705, 10/2017, Volume 40, Issue 4, pp. 1493 - 1522
Journal Article
Numerische Mathematik, ISSN 0945-3245, 2002, Volume 93, Issue 2, pp. 333 - 359
In this paper, we consider some nonlinear inexact Uzawa methods for iteratively solving linear saddle-point problems. By means of a new technique, we first... 
Mathematics Subject Classification: 65F10, 65N20 | MATHEMATICS, APPLIED | CONVERGENCE | SYSTEMS | PRECONDITIONER
Journal Article
Computational and Applied Mathematics, ISSN 0101-8205, 5/2018, Volume 37, Issue 2, pp. 1507 - 1523
Journal Article
Journal of Inverse and Ill-posed Problems, ISSN 0928-0219, 10/2016, Volume 24, Issue 5, pp. 625 - 636
The relations between stability and accuracy of the operator marching method (OMM) are usually conflicting in waveguides with strong range dependence. To... 
DtN reformulation,Helmholtz equation | 65N12 | Operator marching method | error analysis | local orthogonal transform | 65N20 | Helmholtz equation | DtN reformulation | MATHEMATICS | MATHEMATICS, APPLIED | INVERSE PROBLEMS | Waveguides | Transformations (Mathematics) | Usage | Wave propagation | Error analysis (Mathematics) | Analysis | Error analysis
Journal Article
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