Search Results - numerical evolution to inverse problems in abstract space*
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Authors: et al.
Source: Journal of Computational Physics. 510:113061
Subject Terms: FOS: Computer and information sciences, deep learning, graph neural network, Numerical solution to inverse problems in abstract spaces, 02 engineering and technology, grain microstructure evolution, phase field simulations, 01 natural sciences, Computational Engineering, Finance, and Science (cs.CE), Computer-aided design (modeling of curves and surfaces), 0103 physical sciences, Computer Science - Computational Engineering, Finance, and Science, 0210 nano-technology, additive manufacturing
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Access URL: http://arxiv.org/abs/2401.03661
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Authors:
Source: ESAIM: Control, Optimisation and Calculus of Variations. 8:873-883
Subject Terms: Numerical optimization and variational techniques, Discrete approximations in optimal control, quasilinear evolution problem, iterative algorithms, variational data assimilation, Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs, method of successive approximation, 01 natural sciences, optimality system, Existence theories for problems in abstract spaces, 0101 mathematics, solvability, control equation, 0105 earth and related environmental sciences
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Access URL: https://www.esaim-cocv.org/articles/cocv/pdf/2002/02/Marchuk.pdf
http://archive.numdam.org/article/COCV_2002__8__873_0.pdf
http://archive.numdam.org/ARCHIVE/COCV/COCV_2002__8_/COCV_2002__8__873_0/COCV_2002__8__873_0.pdf
https://www.esaim-cocv.org/articles/cocv/pdf/2002/02/Marchuk.pdf
http://www.esaim-cocv.org/articles/cocv/abs/2002/02/Marchuk/Marchuk.html
http://www.numdam.org/item/COCV_2002__8__873_0/
https://www.esaim-cocv.org/articles/cocv/abs/2002/02/Marchuk/Marchuk.html -
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Authors:
Source: Computation; Feb2025, Vol. 13 Issue 2, p37, 32p
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Authors: V. P. Shutyaev
Source: Russian Journal of Numerical Analysis and Mathematical Modelling. 14
Subject Terms: Hilbert spaces, adjoint equations, Numerical optimization and variational techniques, convergence, inverse problems, iterative algorithms, eigenfunction expansion, linear data assimilation, Existence theories for optimal control problems involving partial differential equations, 01 natural sciences, Numerical methods involving duality, Inverse problems in optimal control, linear optimal control, quasilinear evolution problems, Existence theories for problems in abstract spaces, 0101 mathematics
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Authors: Rieder, A.
Source: Inverse Problems, 21 (2), 453-471
Subject Terms: ddc:510, numerical examples, convergence, Numerical solutions of ill-posed problems in abstract spaces, regularization, Linear operators and ill-posed problems, regularization, Showalter's method, Tikhonov regularization, Hilbert space, asymptotic regularization, implicit Euler scheme, 01 natural sciences, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Linear differential equations in abstract spaces, Numerical solutions to equations with linear operators, evolution equation, linear ill-posed problems, 0101 mathematics, Runge-Kutta integrators, order optimality, Mathematics
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Access URL: https://publikationen.bibliothek.kit.edu/1000011042/762671
https://zbmath.org/2174678
https://doi.org/10.1088/0266-5611/21/2/003
http://digbib.ubka.uni-karlsruhe.de/volltexte/documents/762671
http://ui.adsabs.harvard.edu/abs/2005InvPr..21..453R/abstract
https://iopscience.iop.org/article/10.1088/0266-5611/21/2/003
http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:swb:90-110850
https://publikationen.bibliothek.kit.edu/1000011085/772258
https://doi.org/10.5445/IR/1000011085
https://publikationen.bibliothek.kit.edu/1000011085
http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:swb:90-110428
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https://publikationen.bibliothek.kit.edu/1000011042
https://publikationen.bibliothek.kit.edu/1000011042/762671 -
6
Authors: Zhenhai Liu
Source: Inverse Problems. 21:13-20
Subject Terms: Clarke directional derivative, Numerical solutions of ill-posed problems in abstract spaces, regularization, Variational and other types of inequalities involving nonlinear operators (general), Other numerical methods in calculus of variations, Browder-Tikhonov regularization, Unilateral problems, variational inequalities (elliptic type), 0101 mathematics, Variational inequalities, evolution hemivariational inequality, 01 natural sciences
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Authors:
Source: SIAM Journal on Applied Mathematics; 2019, Vol. 79 Issue 6, p2639-2662, 24p
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Authors: Martin Burger
Source: Interfaces and Free Boundaries, Mathematical Analysis, Computation and Applications. 5:301-329
Subject Terms: Inverse problems for PDEs, Optimization of shapes other than minimal surfaces, Numerical solutions of ill-posed problems in abstract spaces, regularization, materials science, gradient flows, crystal growth, shape reconstruction, 0101 mathematics, Hamilton-Jacobi equations, 01 natural sciences
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Access URL: http://www.ems-ph.org/journals/show_pdf.php?issn=1463-9963&vol=5&iss=3&rank=3
https://www.ems-ph.org/journals/show_abstract.php?issn=1463-9963&vol=5&iss=3&rank=3
https://www.ems-ph.org/journals/show_pdf.php?issn=1463-9963&vol=5&iss=3&rank=3
https://www.giref.ulaval.ca/~deteix/bois/documents_references/invtut_mburger.pdf
http://www.giref.ulaval.ca/~deteix/bois/documents_references/invtut_mburger.pdf -
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Authors:
Source: Computer Methods in Applied Mechanics & Engineering. Apr2019, Vol. 346, p332-358. 27p.
Subject Terms: *FRACTIONAL calculus, *EVOLUTION equations, *NONSMOOTH optimization, *NUMERICAL analysis, *GALERKIN methods
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Authors: et al.
Source: Computers & Structures. Jun2009, Vol. 87 Issue 11/12, p802-811. 10p.
Subject Terms: *INVERSE problems, *NUMERICAL analysis, *HEAT conduction, *ADJOINT differential equations, *EARTH'S mantle, *EARTH (Planet)
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11
Authors:
Source: SIAM Journal on Imaging Sciences; 2023, Vol. 16 Issue 2, p671-705, 35p
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12
Authors:
Source: SIAM Journal on Imaging Sciences; 2022, Vol. 15 Issue 3, p1079-1103, 25p
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Source: Journal of Veterinary Internal Medicine. Sep/Oct2024, Vol. 38 Issue 5, p2840-2970. 131p.
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Authors: et al.
Source: Nature Machine Intelligence; Nov2023, Vol. 5 Issue 11, p1189-1199, 11p
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Subject Terms: Stopping times, optimal stopping problems, gambling theory, Stability of difference equations, Canonical forms, reductions, classification, Deterministic scheduling theory in operations research, Numerical computation of matrix norms, conditioning, scaling, Statistical aspects of information-theoretic topics, Numerical methods involving duality, Other matrix groups over rings, Queueing theory (aspects of probability theory), Probabilistic models, generic numerical methods in probability and statistics, Linear algebraic groups over arbitrary fields, Derived categories, triangulated categories, Applications of statistics to biology and medical sciences, meta analysis, Discrete-time control/observation systems, Nonparametric tolerance and confidence regions, Stability and instability of geophysical and astrophysical flows, Complete class results in statistical decision theory, Lyapunov and storage functions, Transform methods (e.g., integral transforms) applied to PDEs, Risk theory, insurance, Other numerical methods in calculus of variations, Fundamental solutions to PDEs and systems of PDEs with constant coefficients, Stabilization of systems by feedback, Systems of elliptic equations, boundary value problems, Combinatorial identities, bijective combinatorics, Theoretical approximation of solutions to ordinary differential equations, Measures of association (correlation, canonical correlation, etc.), Sums of independent random variables, random walks, Graphs and linear algebra (matrices, eigenvalues, etc.), \(H^\infty\)-control, Probabilistic methods, stochastic differential equations, Quantum measurement theory, state operations, state preparations, Feedback control, Search theory, Near-rings, Discrete location and assignment, Computational methods (permutation groups), Reaction-diffusion equations, Linear inference, regression, Perturbations in control/observation systems, \(q\)-calculus and related topics, Numerical analysis or methods applied to Markov chains, Set theory, Set-valued operators, Corporate finance (dividends, real options, etc.), Controllability, Ordinary representations and characters, Ridge regression, shrinkage estimators (Lasso), Management decision making, including multiple objectives, Diffusion processes and stochastic analysis on manifolds, Matrices over special rings (quaternions, finite fields, etc.), Exact enumeration problems, generating functions, Symbolic computation and algebraic computation, Parametric hypothesis testing, Commutativity of matrices, Subgroups of symmetric groups, Data analysis (statistics), Absolute and convective instability and stability in hydrodynamic stability, Limit theorems in probability theory, Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics, Numerical algorithms for specific classes of architectures, Stochastic partial differential equations (aspects of stochastic analysis), Adaptive control/observation systems, Nonlinear programming, Linear programming, Computational methods in Markov chains, Deterministic network models in operations research, Orbital mechanics, Robustness and adaptive procedures (parametric inference), System identification, Classification and discrimination, cluster analysis (statistical aspects), Distance in graphs, Applications of operator theory to differential and integral equations, Heat equation, Matrix equations and identities, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations, Stochastic particle methods, Topology of special sets defined by functions, Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects), System structure simplification, Microeconomic theory (price theory and economic markets), Parallel numerical computation, Factor analysis and principal components, correspondence analysis, Series and lattices of subgroups, Neutral functional-differential equations, Filtering in stochastic control theory, Statistical tables, Time series, auto-correlation, regression, etc. in statistics (GARCH), Mathematical modelling of systems, Algebraic methods, Order statistics, empirical distribution functions, Waves and radiation in optics and electromagnetic theory, Iterative numerical methods for linear systems, Nonlinear boundary value problems for ordinary differential equations, Adaptive or robust stabilization, Sufficient statistics and fields, Analysis of variance and covariance (ANOVA), Directed graphs (digraphs), tournaments, Incompressible inviscid fluids, General theory of rotating fluids, Quadratic programming, Enumeration in graph theory, Finite difference methods applied to problems in fluid mechanics, First-order nonlinear hyperbolic equations, Inference from stochastic processes and prediction, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Counterexamples in general topology, Reliability, availability, maintenance, inspection in operations research, Analytic circuit theory, Quantum computation, Chain conditions on annihilators and summands: Goldie-type conditions, Empirical decision procedures, empirical Bayes procedures, Torsion theories, radicals on module categories (associative algebraic aspects), Probabilistic measure theory, Subalgebras, congruence relations, Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming), Asymptotic approximations, asymptotic expansions (steepest descent, etc.), Combinatorial aspects of partitions of integers, Topological linear spaces of test functions, distributions and ultradistributions, Transport processes in time-dependent statistical mechanics, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), General theory of functional-differential equations, Model systems in control theory, General topics in artificial intelligence, Artinian rings and modules (associative rings and algebras), Systems of nonsingular linear integral equations, Combinatorial aspects of tessellation and tiling problems, Geo-electricity and geomagnetism, von Neumann regular rings and generalizations (associative algebraic aspects), Packaged methods for numerical algorithms, Design of statistical experiments, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Parametric inference, Learning and adaptive systems in artificial intelligence, Direct numerical and large eddy simulation of turbulence, Applications of statistics in engineering and industry, control charts, Computability and recursion theory, Dynamic programming, Tilings in \(2\) dimensions (aspects of discrete geometry), Positive matrices and their generalizations, cones of matrices, Fixed-point theorems, Classical hypergeometric functions, \({}_2F_1\), General nonlinear regression, Packing and covering in \(n\) dimensions (aspects of discrete geometry), Sensitivity (robustness), Recurrences, Statistical distribution theory, Input-output approaches in control theory, Nonparametric hypothesis testing, Multi-objective and goal programming, Computational methods in systems theory, Arithmetic and combinatorial problems involving abstract finite groups, Designs and configurations, Eigenvalue problems, Permutations, words, matrices, Applications of renewal theory (reliability, demand theory, etc.), Group rings, Cohen-Macaulay modules, Theories of friction (tribology), Exact distribution theory in statistics, Lasers, masers, optical bistability, nonlinear optics, Neural networks for/in biological studies, artificial life and related topics, Markov chains (discrete-time Markov processes on discrete state spaces), Linearizations, Bounds on codes, Multivariate analysis, Sensitivity, stability, parametric optimization, Factorial statistical designs, Heat and mass transfer, heat flow, Simple and semisimple modules, primitive rings and ideals in associative algebras, General theory of difference equations, Production models, Control/observation systems governed by ordinary differential equations, Planetary atmospheres, Applications of statistics to actuarial sciences and financial mathematics, Boolean algebras (Boolean rings), Statistical block designs, Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations, Observability, Combinatorial optimization, Bayesian inference, General (adjoints, conjugates, products, inverses, domains, ranges, etc.), Gaussian processes, Regular semigroups, Antennas, waveguides in optics and electromagnetic theory, Distribution theory, Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems, Representation type (finite, tame, wild, etc.) of associative algebras, Planar graphs, geometric and topological aspects of graph theory, Associative rings of functions, subdirect products, sheaves of rings, Operations with distributions and generalized functions, Characteristic functions, other transforms, Derivative securities (option pricing, hedging, etc.), Oscillation theory of functional-differential equations, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Injective modules, self-injective associative rings, Models and methods for concurrent and distributed computing (process algebras, bisimulation, transition nets, etc.), Applications of Lie groups to the sciences, explicit representations, Control of mechanical systems, Existence, uniqueness, and regularity theory for incompressible inviscid fluids, Magnetohydrodynamics and electrohydrodynamics, Theory of matrix inversion and generalized inverses, Group rings of finite groups and their modules (group-theoretic aspects), Transformation and reduction of ordinary differential equations and systems, normal forms, Positional games (pursuit and evasion, etc.), Dedekind, Prüfer, Krull and Mori rings and their generalizations, Extremal problems in graph theory, Representations of orders, lattices, algebras over commutative rings, Group rings of infinite groups and their modules (group-theoretic aspects), Statistics, Semirings, Variational inequalities, Approximation methods and heuristics in mathematical programming, Other designs, configurations, Strange attractors, chaotic dynamics of systems with hyperbolic behavior, Optimal statistical designs, Technical applications of optics and electromagnetic theory, Applications of mathematical programming, Error bounds for initial value and initial-boundary value problems involving PDEs, Elliptic functions and integrals, Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.), Applications of Markov renewal processes (reliability, queueing networks, etc.), Testing in survival analysis and censored data, Models of societies, social and urban evolution, Spatial models in sociology, Random number generation in numerical analysis, Variable structure systems, Nonparametric estimation, Actions of groups on commutative rings, invariant theory, Social networks, opinion dynamics, Identification in stochastic control theory, Mathematical sociology (including anthropology), Estimation in multivariate analysis, Integral transforms of special functions, Sufficiency and information, Nonconvex programming, global optimization, Weyl theory and its generalizations for ordinary differential equations, Existence theories for optimal control problems involving ordinary differential equations, Mixed integer programming, Compressibility effects in turbulence, Module categories in associative algebras, Sampling theory, sample surveys, Inference from stochastic processes and spectral analysis, Queues and service in operations research, Applications of statistics to economics, Characterization and structure theory for multivariate probability distributions, copulas, Other numerical methods (fluid mechanics), Asymptotic distribution theory in statistics, Asymptotic behavior of solutions to PDEs, Computational problems in statistics, Central limit and other weak theorems, Software, source code, etc. for problems pertaining to statistics, General systems, Combinatorial aspects of block designs, Turbulence, Economic time series analysis, Computation of special functions and constants, construction of tables, Sequential statistical analysis, Bayesian problems, characterization of Bayes procedures, Hyperbolic conservation laws, Continuous-time Markov processes on general state spaces, Minimal systems representations, Representations of quivers and partially ordered sets, Automorphism groups of groups, Discrete version of topics in analysis, Orthogonal arrays, Latin squares, Room squares, Rods (beams, columns, shafts, arches, rings, etc.), Hypothesis testing in multivariate analysis, Theory of statistical experiments, Set-valued and variational analysis, Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry, Basic theta functions, Inverse problems for PDEs, Uniqueness of solutions of equilibrium problems in solid mechanics, Turbulent boundary layers, Basic methods in fluid mechanics, Decision theory, Synthesis problems, Measure and integration, Numerical mathematical programming methods, Dynamics of multibody systems, Matrices over function rings in one or more variables, Einstein's equations (general structure, canonical formalism, Cauchy problems), Abstract data types, algebraic specification, Ordinary differential equations in the complex domain, Parametric tolerance and confidence regions, Linear vibration theory, Second-order hyperbolic equations, Point estimation, Renewal theory, Mathematical programming, Attractors and repellers of smooth dynamical systems and their topological structure, Monte Carlo methods, PDEs in connection with relativity and gravitational theory, General and philosophical questions in quantum theory, Multivariable systems, multidimensional control systems, Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations, Programming involving graphs or networks, Stability and convergence of numerical methods for boundary value problems involving PDEs, Combinatorial aspects of matroids and geometric lattices, Existence of optimal solutions to problems involving randomness, Automorphisms of infinite groups, Theory of software, Traffic problems in operations research, Ordinary differential operators, KdV equations (Korteweg-de Vries equations), Sequential estimation, Toeplitz operators, Hankel operators, Wiener-Hopf operators, Linear-quadratic optimal control problems, Fibonacci and Lucas numbers and polynomials and generalizations, Point processes (e.g., Poisson, Cox, Hawkes processes), Finite abelian groups, Estimation and detection in stochastic control theory, Burst-correcting codes, Computational methods in stochastic control, Applications of graph theory, Linear ordinary differential equations and systems, Solvable groups, supersolvable groups, Navier-Stokes equations for incompressible viscous fluids, Stability of topological dynamical systems, Determinants, permanents, traces, other special matrix functions, Numerical solution of discretized equations for boundary value problems involving PDEs, Multivariate distribution of statistics, PDEs in connection with fluid mechanics, Contact in solid mechanics, Numerical methods for initial value problems involving ordinary differential equations, Atomic physics, Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.), Graph labelling (graceful graphs, bandwidth, etc.), Boundary value problems for second-order elliptic equations, Functions of hypercomplex variables and generalized variables, Application models in control theory, Nonlinear systems in control theory, Radix representation, digital problems, Statistical methods, risk measures, Linear codes (general theory), Asymptotic stability in control theory, Method of lines for initial value and initial-boundary value problems involving PDEs, Quantum optics, Generators, relations, and presentations of groups, Reliability and life testing, Linear regression, mixed models, Control/observation systems governed by partial differential equations, Arithmetic functions, related numbers, inversion formulas, Uniqueness of solutions of dynamical problems in solid mechanics, Existence of generalized solutions of PDE, Vortex flows for incompressible inviscid fluids, Stochastic ordinary differential equations (aspects of stochastic analysis), Density estimation, Design techniques (robust design, computer-aided design, etc.), Special properties of topological spaces, Linear systems in control theory, Finite nilpotent groups, \(p\)-groups, Convergence and divergence of series and sequences, Theoretical approximation of solutions to integral equations, Modules, bimodules and ideals in associative algebras, Sums of squares and representations by other particular quadratic forms, Geometric group theory, Additive difference equations
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https://doi.org/10.1080/00207728008967088 -
16
Authors:
Source: Quarterly of Applied Mathematics. 51:1-22
Subject Terms: Inverse problems for PDEs, parameter- dependent evolution operator, 0209 industrial biotechnology, quasilinearization, Inverse problems involving ordinary differential equations, 02 engineering and technology, Numerical methods for initial value problems involving ordinary differential equations, 01 natural sciences, estimation algorithm, parameter identification, Linear differential equations in abstract spaces, Applications to the sciences, Numerical solutions to equations with linear operators, Numerical results, local convergence, linear abstract Cauchy problem, delay-differential equations, 0101 mathematics
File Description: application/xml
Access URL: https://www.ams.org/qam/1993-51-01/S0033-569X-1993-1205932-0/S0033-569X-1993-1205932-0.pdf
https://zbmath.org/411605
https://doi.org/10.1090/qam/1205932
https://www.ams.org/journals/qam/1993-51-01/S0033-569X-1993-1205932-0/home.html
http://oai.dtic.mil/oai/oai?verb=getRecord&metadataPrefix=html&identifier=ADA214260
https://www.ams.org/qam/1993-51-01/S0033-569X-1993-1205932-0/S0033-569X-1993-1205932-0.pdf
https://ntrs.nasa.gov/search.jsp?R=19930047809
https://repository.exst.jaxa.jp/dspace/handle/a-is/318966 -
17
Authors:
Source: Computers & Mathematics with Applications. 48:1847-1861
Subject Terms: Inverse problems for PDEs, Abstract parabolic equations, Necessary optimality condition, Parameter identification, optimality condition, Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs, optimal parameters, 01 natural sciences, parameter identification, Computational Mathematics, Optimal parameter, Computational Theory and Mathematics, Modelling and Simulation, Nonlinear parabolic equations, Systems of parabolic equations, boundary value problems, 0101 mathematics, Nonlinear parabolic distributed parameter system, nonlinear parabolic evolution systems
File Description: application/xml
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18
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Contributors:
Subject Terms: ddc:510, adaptive wavelet schemes, adaptive Rothe Methode, Inverse Problems, adaptive wavelet Verfahren, Nonlinear ill-posed problems -- adaptive Rothe Method -- Inverse Problems -- Mathematik -- adaptive wavelet Verfahren -- Abstract parabolic evolution equations -- Tensor wavelets -- adaptive Rothe Methode -- Inverse Probleme -- Wavelet -- Rate of convergence, degree of approximation -- Tensor Wavelets -- Stability and convergence of numerical methods -- iterative thresholding -- adaptive wavelet schemes -- Wavelets, Tensor wavelets, Mathematik, iterative thresholding, adaptive Rothe Method, Inverse Probleme, Wavelet, Tensor Wavelets, Mathematics, FOS: Mathematics
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19
Authors: et al.
Source: SIAM Journal on Imaging Sciences; 2024, Vol. 17 Issue 2, p820-860, 41p
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20
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Contributors: et al.
Subject Terms: Analyse numérique, Numerical Analysis, Inverse Problems, Observers
File Description: application/pdf
Relation: https://oatao.univ-toulouse.fr/9110/1/Haine_9110.pdf; Haine, Ghislain and Ramdani, Karim. Reconstructing initial data using iterative observers for wave type systems. A numerical analysis. (2011) In: The 10th International Conference on the Mathematical and Numerical Aspects of Waves (WAVES 2011), 25-29 Jul 2011, Vancouver, Canada .
Availability: https://oatao.univ-toulouse.fr/9110/
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