Suchergebnisse - "General theory of numerical analysis in abstract spaces"

A New Analysis of Empirical Interpolation Methods and Chebyshev Greedy Algorithms: A new analysis of empirical interpolation methods and Chebyshev greedy algorithms

Autoren: Li, Yuwen

Quelle: SIAM Journal on Numerical Analysis. 63:931-948

Schlagwörter: reduced basis greedy algorithm, 41A46, 41A65, 65J05, 65M12, Approximation by arbitrary nonlinear expressions, widths and entropy, Numerical Analysis (math.NA), General theory of numerical analysis in abstract spaces, metric entropy numbers, 01 natural sciences, parametrized PDE, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), dictionary approximation, empirical interpolation method, Chebyshev greedy algorithm, FOS: Mathematics, Mathematics - Numerical Analysis, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2401.13985

Randomized complexity of parametric integration and the role of adaption I. Finite dimensional case: Randomized complexity of parametric integration and the role of adaption. I: Finite dimensional case

Autoren: Heinrich, Stefan

Quelle: Journal of Complexity. 81:101821

Schlagwörter: algorithm, Analysis of algorithms and problem complexity, adaptive, Parameterized complexity, tractability and kernelization, Communication complexity, information complexity, Numerical Analysis (math.NA), General theory of numerical analysis in abstract spaces, Complexity and performance of numerical algorithms, information-based complexity, Algorithms for approximation of functions, randomized, vector-valued mean, FOS: Mathematics, nonadaptive, Mathematics - Numerical Analysis

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2306.13471

On the approximation of solutions of compact operator equations

Autoren: Ioannis K. Argyros

Quelle: Proyecciones (Antofagasta). 7:29-46

Schlagwörter: Banach space, Equations involving nonlinear operators (general), quadratic operator, Summability and bases, functional analytic aspects of frames in Banach and Hilbert spaces, collectively compact operator equations, 0101 mathematics, General theory of numerical analysis in abstract spaces, 01 natural sciences, Equations and inequalities involving linear operators, with vector unknowns

Dateibeschreibung: application/xml

Zugangs-URL: http://www.revistaproyecciones.cl/article/download/2576/2175/
https://zbmath.org/2231026
http://www.revistaproyecciones.cl/article/download/2576/2175
https://www.revistaproyecciones.cl/article/view/2576
https://dialnet.unirioja.es/servlet/articulo?codigo=6953521

A Crank-Nicolson Scheme for the Dirichlet-to-Neumann Semigroup: A Crank-Nicolson scheme for the Dirichlet-to-Neumann semigroup

Autoren: Ali Ahmad, Rola El Arwadi, Toufic Chrayteh, Houssam et al.

Weitere Verfasser: Ali Ahmad, Rola El Arwadi, Toufic Chrayteh, Houssam et al.

Quelle: Journal of Applied Mathematics, Vol 2015 (2015)
J. Appl. Math.

Schlagwörter: Finite difference methods for boundary value problems involving PDEs, Dirichlet-to-Neumann semigroup, 13. Climate action, QA1-939, Crank-Nicolson, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], 0101 mathematics, General theory of numerical analysis in abstract spaces, 16. Peace & justice, 01 natural sciences, Mathematics

Dateibeschreibung: application/xml; text/xhtml; application/pdf

Zugangs-URL: http://downloads.hindawi.com/journals/jam/2015/429641.pdf
https://doaj.org/article/4e2553be69c14413b0eefd067eb19d3b
https://downloads.hindawi.com/journals/jam/2015/429641.pdf
https://www.hindawi.com/journals/jam/2015/429641/
https://dblp.uni-trier.de/db/journals/jam/jam2015.html#AhmadACS15
https://projecteuclid.org/download/pdfview_1/euclid.jam/1439816416
http://downloads.hindawi.com/journals/jam/2015/429641.pdf
http://projecteuclid.org/euclid.jam/1439816416

On the solution of Poisson equation by alternating group explicit iterative method

Autoren: Gülhan Avci Necdet Bildik

Quelle: Applied Mathematics and Computation. 166:411-425

Schlagwörter: Finite difference methods for boundary value problems involving PDEs, Iterative numerical methods for linear systems, numerical examples, finite difference, 02 engineering and technology, General theory of numerical analysis in abstract spaces, Poisson equation, alternating group explicit iterative methods, 01 natural sciences, AGE method, ADI method, alternating direction implicit methods, 0202 electrical engineering, electronic engineering, information engineering, 0101 mathematics

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2192397
https://doi.org/10.1016/j.amc.2004.06.055
https://www.sciencedirect.com/science/article/pii/S009630030400445X
https://dblp.uni-trier.de/db/journals/amc/amc166.html#BildikA05

Generalized Approximate Weak Greedy Algorithms: Generalized approximate weak greedy algorithms

Autoren: Vladimir V. Galatenko E. D. Livshits

Quelle: Mathematical Notes. 78:170-184

Schlagwörter: matching pursuit, convergence, pure greedy algorithms, Algorithms for approximation of functions, orthonormal system in Hilbert space, Approximation by arbitrary nonlinear expressions, widths and entropy, 0101 mathematics, General theory of numerical analysis in abstract spaces, 01 natural sciences, nonlinear approximation, dictionary

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2239736
https://doi.org/10.1007/s11006-005-0113-0
https://link.springer.com/article/10.1007/s11006-005-0113-0

Algorithms for Numerical Analysis in High Dimensions: Algorithms for numerical analysis in high dimensions

Autoren: Gregory Beylkin Martin J. Mohlenkamp Legrand, Mathias

Weitere Verfasser: Gregory Beylkin Martin J. Mohlenkamp Legrand, Mathias

Quelle: SIAM Journal on Scientific Computing. 26:2133-2159

Schlagwörter: antisymmetric functions, Iterative numerical methods for linear systems, computational complexity, separation of variables, alternating least squares, [MATH] Mathematics [math], General theory of numerical analysis in abstract spaces, curse of dimensionality, 01 natural sciences, Complexity and performance of numerical algorithms, separated representation, Algorithms for approximation of functions, Applications to the sciences, multidimensional function, multiparticle Schrödinger equation, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, algorithms in high dimensions, separated solutions of linear systems, [SPI.MECA.STRU] Engineering Sciences [physics]/Mechanics [physics.med-ph]/Structural mechanics [physics.class-ph], 0101 mathematics, separation-rank reduction, multidimensional operator

Dateibeschreibung: application/pdf; application/xml

Zugangs-URL: https://hal.archives-ouvertes.fr/hal-02076682/file/Beylkin2005.pdf
https://hal.science/hal-02076682v1
https://hal.science/hal-02076682v1/document
https://doi.org/10.1137/040604959
https://zbmath.org/2207145
https://doi.org/10.1137/040604959
https://amath.colorado.edu/faculty/beylkin/papers/BEY-MOH-2005.pdf
https://dblp.uni-trier.de/db/journals/siamsc/siamsc26.html#BeylkinM05
https://locus.siam.org/doi/abs/10.1137/040604959
https://epubs.siam.org/doi/10.1137/040604959
https://core.ac.uk/display/20864080
http://amath.colorado.edu/faculty/beylkin/papers/BEY-MOH-2005.pdf

A method for solving differential equations via approximation theory

Autoren: Peter Zhidkov

Quelle: Applied Mathematics and Computation. 157:701-711

Schlagwörter: Numerical solution of boundary value problems involving ordinary differential equations, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, method of quasi-reversibility, heat equation, inverse iteration, Heat equation, Korobov's approximations, Schrödinger eigenvalue problem, spline, General theory of numerical analysis in abstract spaces, 01 natural sciences, two point boundary value problems, Linear boundary value problems for ordinary differential equations, 0101 mathematics, Equations and inequalities involving linear operators, with vector unknowns, well-posed problem

Dateibeschreibung: application/xml

Zugangs-URL: http://www1.jinr.ru/Preprints/2002/061(E11-2002-61).pdf
https://zbmath.org/2117757
https://doi.org/10.1016/j.amc.2003.08.119
http://dblp.uni-trier.de/db/journals/amc/amc157.html#Zhidkov04
https://www.sciencedirect.com/science/article/pii/S0096300303009664

Some convergence problems for weak norms

Autoren: I. Daugavet

Quelle: St. Petersburg Mathematical Journal. 15:575-585

Schlagwörter: Applications of functional analysis in numerical analysis, projection method, Linear boundary value problems for ordinary differential equations, weak convergence, functional equation, General theory of numerical analysis in abstract spaces, Galerkin method, Ritz method

Dateibeschreibung: application/xml

Zugangs-URL: https://www.ams.org/spmj/2004-15-04/S1061-0022-04-00823-4/S1061-0022-04-00823-4.pdf
https://zbmath.org/2123786
https://doi.org/10.1090/s1061-0022-04-00823-4
https://www.ams.org/journals/spmj/2004-15-04/S1061-0022-04-00823-4/home.html
https://www.ams.org/spmj/2004-15-04/S1061-0022-04-00823-4/S1061-0022-04-00823-4.pdf

Riemannian Geometry of Grassmann Manifolds with a View on Algorithmic Computation: Riemannian geometry of Grassmann manifolds with a view on algorithmic computation

Autoren: Absil, P-A Mahony, Robert Sepulchre, R

Quelle: Acta Applicandae Mathematica. 80:199-220

Schlagwörter: Optimization, Mean of subspaces, Physique, chimie, mathématiques & sciences de la terre, noncompact Stiefel manifold, 02 engineering and technology, Grassmannians, Schubert varieties, flag manifolds, Matrix algebra, Grassmann manifolds, Computational geometry Geodesic, 01 natural sciences, Levi-Civita connection, Invariant subspace, Physical, chemical, mathematical & earth Sciences, invariant subspace, Keywords: Algorithms, Euclidean space, principal fiber bundle, 0202 electrical engineering, electronic engineering, information engineering, 0101 mathematics, Theorem proving, Grassmann manifold, Problem solving, Principal fiber bundle, parallel transportation, Noncompact stiefel manifold, mean of subspaces, Levi-civita connection, Nonlinear equations, General theory of numerical analysis in abstract spaces, Mathématiques, Newton method, Parallel transportation, Set theory, Mathematics, geodesic, Connections (general theory)

Dateibeschreibung: application/xml

Zugangs-URL: https://orbi.uliege.be/bitstream/2268/33242/1/published.pdf
https://stat.duke.edu/~sayan/SAMSI/lec/riemgrass.pdf
http://users.cecs.anu.edu.au/~Robert.Mahony/Mahony_Robert/2004_AbsMahSep-J24.pdf
https://openresearch-repository.anu.edu.au/handle/1885/77911
https://digitalcollections.anu.edu.au/handle/1885/77911
http://publications.eng.cam.ac.uk/577536/
https://www.cis.upenn.edu/~cis610/Diffgeom-Grassmann.Absil.pdf

On the LBB constant on stretched domains

Autoren: Manfred Dobrowolski

Quelle: Mathematische Nachrichten. :64-67

Schlagwörter: stretched domains, Finite element methods applied to problems in solid mechanics, Stokes equations, Navier-Stokes equations, LBB constant, 0101 mathematics, General theory of numerical analysis in abstract spaces, Plates, 01 natural sciences, Stokes and related (Oseen, etc.) flows, Finite element methods applied to problems in fluid mechanics

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1958226
https://doi.org/10.1002/mana.200310052
http://onlinelibrary.wiley.com/doi/10.1002/mana.200310052/abstract

Nonlinear Methods of Approximation: Nonlinear methods of approximation

Autoren: Vladimir Temlyakov

Quelle: Foundations of Computational Mathematics. 3:33-107

Schlagwörter: Summability and bases in topological vector spaces, \(m\)-term, Trigonometric approximation, Approximation by arbitrary nonlinear expressions, widths and entropy, Rate of convergence, degree of approximation, General harmonic expansions, frames, General theory of numerical analysis in abstract spaces, 01 natural sciences, Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.), Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), Applications of functional analysis in numerical analysis, Algorithms for approximation of functions, Inner product spaces and their generalizations, Hilbert spaces, greedy, 0101 mathematics, Sobolev spaces and other spaces of ''smooth' functions, embedding theorems, trace theorems, entropy, Inequalities in approximation (Bernstein, Jackson, Nikol'skiĭ-type inequalities), dictionary

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1942715
https://doi.org/10.1007/s102080010029

Adjoint equations, integral conservation laws, and conservative difference schemes for nonlinear equations of mathematical physics

Autoren: V. P. Dymnikov

Quelle: Russian Journal of Mathematical Modelling. 18:229-242

Schlagwörter: adjoint equations, integral conservation laws, conservative difference schemes, Nonlinear first-order PDEs, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Incompressible inviscid fluids, dynamic equations for two-dimensional incompressible ideal fluid, 0101 mathematics, General theory of numerical analysis in abstract spaces, 01 natural sciences, Finite difference methods applied to problems in fluid mechanics

Dateibeschreibung: application/xml

Zugangs-URL: http://www.ingentaselect.com/rpsv/cgi-bin/cgi?ini=xref&body=linker&reqdoi=10.1163/156939803322380828
https://www.degruyter.com/view/j/rnam.2003.18.issue-3/156939803322380828/156939803322380828.pdf
http://www.degruyter.com/downloadpdf/j/rnam.2003.18.issue-3/156939803322380828/156939803322380828.xml

Applicability of Smolyak's Algorithms to Certain Banach Spaces of Multivariate Functions: Applicability of Smolyak's algorithms to certain Banach spaces of multivariate functions.

Autoren: Youming Li

Quelle: Journal of Complexity. 18:792-814

Schlagwörter: Linear operator approximation theory, multivariate approximation, Statistics and Probability, Numerical Analysis, Algebra and Number Theory, Control and Optimization, Applied Mathematics, cubature, Tensor products of linear operators, Norms (inequalities, more than one norm, etc.) of linear operators, General theory of numerical analysis in abstract spaces, 01 natural sciences, Sobolev spaces, Smolyak algorithm, 0101 mathematics

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1910724
https://doi.org/10.1006/jcom.2002.0644

Numerical operator calculus in higher dimensions

Autoren: Martin J. Mohlenkamp Gregory Beylkin

Quelle: Proceedings of the National Academy of Sciences. 99:10246-10251

Schlagwörter: numerical examples, inverse Laplacian, separation of variables, 0101 mathematics, General theory of numerical analysis in abstract spaces, 01 natural sciences, multiparticle Schrödinger operator

Dateibeschreibung: application/xml

Zugangs-URL: http://www.pnas.org/content/99/16/10246.full.pdf
https://pubmed.ncbi.nlm.nih.gov/12140360
https://zbmath.org/1786441
https://doi.org/10.1073/pnas.112329799
http://amath.colorado.edu/pub/wavelets/papers/BEY-MOH-2002.pdf
https://www.pnas.org/content/pnas/99/16/10246.full.pdf
https://www.pnas.org/content/99/16/10246
https://www.pnas.org/content/99/16/10246.full.pdf
http://ui.adsabs.harvard.edu/abs/2002PNAS...9910246B/abstract
http://core.ac.uk/display/20786725

The method of alternating projections and the method of subspace corrections in Hilbert space

Autoren: Jinchao Xu Ludmil T. Zikatanov

Quelle: Journal of the American Mathematical Society. 15:573-597

Schlagwörter: Linear operator approximation theory, Iterative numerical methods for linear systems, Multigrid methods, domain decomposition for boundary value problems involving PDEs, Babuška-Brezzi conditions, Numerical methods of relaxation type, Numerical solution of discretized equations for boundary value problems involving PDEs, General theory of numerical analysis in abstract spaces, method of alternate projections, 01 natural sciences, method of subspace corrections, linear variational problem, domain decomposition, Applications of operator theory in numerical analysis, Applications of operator theory in optimization, convex analysis, mathematical programming, economics, 0101 mathematics, multigrid, product of nonexpansive operators

Dateibeschreibung: application/xml

Zugangs-URL: https://www.ams.org/jams/2002-15-03/S0894-0347-02-00398-3/S0894-0347-02-00398-3.pdf
https://zbmath.org/1739909
https://doi.org/10.1090/s0894-0347-02-00398-3
https://dialnet.unirioja.es/servlet/articulo?codigo=676879
https://www.ams.org/jams/2002-15-03/S0894-0347-02-00398-3/S0894-0347-02-00398-3.pdf
https://www.ams.org/journals/jams/2002-15-03/S0894-0347-02-00398-3/
https://pennstate.pure.elsevier.com/en/publications/the-method-of-alternating-projections-and-the-method-of-subspace-

Fuzzy relational equation with defuzzification – algorithm for the largest solution: Fuzzy relational equation with defuzzification-algorithm for the largest solution

Autoren: S. Kagei

Quelle: Fuzzy Sets and Systems. 123:119-127

Schlagwörter: numerical examples, algorithm, largest solutions, 0202 electrical engineering, electronic engineering, information engineering, identification, defuzzification, 02 engineering and technology, fuzzy relational equation, General theory of numerical analysis in abstract spaces, Theory of fuzzy sets, etc

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1686829
https://doi.org/10.1016/s0165-0114(00)00039-7
https://dblp.uni-trier.de/db/journals/fss/fss123.html#Kagei01
http://www.sciencedirect.com/science/article/pii/S0165011400000397
https://www.sciencedirect.com/science/article/pii/S0165011400000397

Uniform Distribution, Discrepancy, and Reproducing Kernel Hilbert Spaces: Uniform distribution, discrepancy, and reproducing kernel Hilbert spaces

Autoren: Clemens Amstler Peter Zinterhof

Quelle: Journal of Complexity. 17:497-515

Schlagwörter: uniform distribution, Statistics and Probability, Numerical Analysis, Algebra and Number Theory, Control and Optimization, Applied Mathematics, abstract uniform distribution, General theory of numerical analysis in abstract spaces, 01 natural sciences, reproducing kernel Hilbert spaces, Numerical integration, discrepancy, numerical integration, Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces), 0101 mathematics, reproducing kernel Hilbert space

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1675700
https://doi.org/10.1006/jcom.2001.0580
https://www.sciencedirect.com/science/article/pii/S0885064X01905801
https://www.sciencedirect.com/science/article/abs/pii/S0885064X01905801
https://uni-salzburg.elsevierpure.com/en/publications/uniform-distribution-discrepancy-and-reproducing-kernel-hilbert-s
https://core.ac.uk/display/82064739
https://dblp.uni-trier.de/db/journals/jc/jc17.html#AmstlerZ01
https://doi.org/10.1006/jcom.2001.0580

Backward Euler discretization of fully nonlinear parabolic problems

Autoren: Alexander Ostermann Mechthild Thalhammer C. Palencia et al.

Quelle: Mathematics of Computation. 71:125-146

Schlagwörter: Abstract parabolic equations, backward Euler method, convergence, Banach space, abstract nonlinear evolution equation, Nonlinear differential equations in abstract spaces, General theory of numerical analysis in abstract spaces, stability bounds, 01 natural sciences, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs, variable step stepsize, hyperbolic equilibrium, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, nonlinear parabolic problems, time discretization

Dateibeschreibung: application/xml

Zugangs-URL: https://www.ams.org/mcom/2002-71-237/S0025-5718-01-01330-8/S0025-5718-01-01330-8.pdf
https://zbmath.org/1680743
https://doi.org/10.1090/s0025-5718-01-01330-8
https://dblp.uni-trier.de/db/journals/moc/moc71.html#GonzalezOPT02
https://dl.acm.org/doi/10.1090/S0025-5718-01-01330-8
https://doi.org/10.1090/S0025-5718-01-01330-8
https://www.ams.org/journals/mcom/2002-71-237/S0025-5718-01-01330-8/home.html
https://dl.acm.org/citation.cfm?id=774696
https://ui.adsabs.harvard.edu/abs/2002MaCom..71..125G/abstract

FD-Method: the Exponential Rate of Convergence: FD-method: the exponential rate of convergence

Autoren: V. L. Makarov

Quelle: Journal of Mathematical Sciences. 104:1648-1653

Schlagwörter: recurrent algorithm, operator equation, eigenvalue problem, 0101 mathematics, General theory of numerical analysis in abstract spaces, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1535942
https://doi.org/10.1023/a:1011333314231
https://link.springer.com/article/10.1023/A%3A1011333314231