Výsledky vyhledávání - "Multivariate Polynomial Approximation"

Uniqueness of solutions in multivariate Chebyshev approximation problems

Autoři: Vera Roshchina Nadezda Sukhorukova Julien Ugon

Témata: Mathematical sciences, Applied mathematics, Numerical and computational mathematics, Pure mathematics, ALGORITHM, Chebyshev approximation, Mathematics, Applied, Multivariate polynomial approximation, Operations Research & Management Science, Physical Sciences, Science & Technology, Technology, Uniqueness of solutions

Relation: http://hdl.handle.net/10779/DRO/DU:24165987.v1; https://figshare.com/articles/journal_contribution/Uniqueness_of_solutions_in_multivariate_Chebyshev_approximation_problems/24165987

Dostupnost: http://hdl.handle.net/10779/DRO/DU:24165987.v1
https://figshare.com/articles/journal_contribution/Uniqueness_of_solutions_in_multivariate_Chebyshev_approximation_problems/24165987

Optimal polynomial admissible meshes on some classes of compact subsets of Rd

Autoři: Piazzon, Federico

Zdroj: Journal of Approximation Theory. 207:241-264

Témata: FOS: Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Admissible meshes, Distance function, Multivariate polynomial approximation, Positive reach, Analysis, Numerical Analysis, Mathematics (all), Applied Mathematics, 0101 mathematics, 16. Peace & justice, 01 natural sciences

Přístupová URL adresa: http://arxiv.org/abs/1302.4718
http://ui.adsabs.harvard.edu/abs/2013arXiv1302.4718P/abstract
https://dblp.uni-trier.de/db/journals/jat/jat207.html#Piazzon16
https://core.ac.uk/display/154331006
https://www.sciencedirect.com/science/article/abs/pii/S0021904516000381
https://www.sciencedirect.com/science/article/pii/S0021904516000381
https://hdl.handle.net/11577/3265895
http://www.elsevier.com/inca/publications/store/6/2/2/8/5/3/index.htt
https://doi.org/10.1016/j.jat.2016.02.015

Bivariate generalized Bernstein operators and their application to Fredholm integral equations

Autoři: OCCORSIO, Donatella RUSSO, Maria Grazia Occorsio, Donatella a další

Přispěvatelé: OCCORSIO, Donatella RUSSO, Maria Grazia Occorsio, Donatella a další

Zdroj: Publications de l'Institut Mathematique. 100:141-162

Témata: Multivariate polynomial approximation, Cubature formula, 4. Education, Mathematics (all), 0101 mathematics, Iterated Bernstein polynomial, Nyström method, 01 natural sciences

Přístupová URL adresa: http://www.doiserbia.nb.rs/ft.aspx?id=0350-13021614141O
http://www.doiserbia.nb.rs/Article.aspx?ID=0350-13021614141O
https://iris.unibas.it/handle/11563/125006

Implementation of optimal Galerkin and Collocation approximations of PDEs with Random Coefficients

Autoři: J. Beck NOBILE, FABIO TAMELLINI, LORENZO a další

Zdroj: ESAIM: Proceedings. 33:10-21

Témata: 0101 mathematics, Uncertainty Quantification, PDEs with random data, elliptic equations, multivariate polynomial approximation, \bMt approximation, Stochastic Galerkin methods, Smolyak approximation, Sparse grids, Stochastic Collocation methods, 01 natural sciences

Přístupová URL adresa: https://www.esaim-proc.org/articles/proc/pdf/2011/04/proc113302.pdf
http://www.esaim-proc.org/index.php?option=com_article&access=doi&doi=10.1051/proc/201133002&Itemid=129
https://hdl.handle.net/11311/622765

Convergence estimates in probability and in expectation for discrete least squares with noisy evaluations at random points

Autoři: Migliorati, Giovanni Nobile, Fabio Tempone, Raul a další

Přispěvatelé: Migliorati, Giovanni Nobile, Fabio Tempone, Raul a další

Zdroj: Journal of Multivariate Analysis

Témata: Multivariate polynomial approximation, Large deviations, Learning theory, Error analysis, Approximation theory, Discrete least squares, Convergence rates, Noisy evaluations, 0101 mathematics, 16. Peace & justice, 01 natural sciences

Popis souboru: application/pdf

Přístupová URL adresa: https://www.sciencedirect.com/science/article/pii/S0047259X15001931
https://ideas.repec.org/a/eee/jmvana/v142y2015icp167-182.html
https://infoscience.epfl.ch/record/205816
http://www.sciencedirect.com/science/article/pii/S0047259X15001931
https://repository.kaust.edu.sa/bitstream/10754/576075/1/1-s2.0-S0047259X15001931-main.pdf
https://dblp.uni-trier.de/db/journals/ma/ma142.html#MiglioratiNT15

Analysis and implementation issues for the numerical approximation of parabolic equations with random coefficients

Autoři: Fabio Nobile Raul Tempone Applied Mathematics and Computational Science Program a další

Přispěvatelé: Fabio Nobile Raul Tempone Applied Mathematics and Computational Science Program a další

Zdroj: International Journal for Numerical Methods in Engineering. 80:979-1006

Témata: Multivariate polynomial approximation, Stochastic Collocation methods, Parabolic equations, PDEs with random data • parabolic equations • multivariate polynomial approximation • Stochastic Galerkin methods • Stochastic Collocation methods • sparse grids • Smolyak approximation • Point Collocation • Monte Carlo sampling, PDEs with random data, Point Collocation, Sparse grids, 0101 mathematics, Stochastic galerkin methods, 01 natural sciences, Smolyak approximation, Monte carlo sampling

Přístupová URL adresa: https://infoscience.epfl.ch/record/180349
https://onlinelibrary.wiley.com/doi/abs/10.1002/nme.2656
http://onlinelibrary.wiley.com/doi/10.1002/nme.2656/abstract
http://www.diva-portal.org/smash/record.jsf?pid=diva2:411086
https://re.public.polimi.it/handle/11311/533391
http://ui.adsabs.harvard.edu/abs/2009IJNME..80..979N/abstract

Convergence of quasi-optimal Stochastic Galerkin methods for a class of PDES with random coefficients

Autoři: Lorenzo Tamellini Fabio Nobile Joakim Beck a další

Přispěvatelé: Lorenzo Tamellini Fabio Nobile Joakim Beck a další

Zdroj: Computers & Mathematics with Applications. 67:732-751

Témata: Multivariate polynomial approximation, Subexponential convergence, Elliptic PDEs with random data, Stochastic Galerkin method, 8. Economic growth, Best M-terms polynomial approximation, 0101 mathematics, 16. Peace & justice, 01 natural sciences, Uncertainty quantification

Přístupová URL adresa: https://www.sciencedirect.com/science/article/abs/pii/S0898122113001569
https://www.sciencedirect.com/science/article/pii/S0898122113001569
http://mathicse.epfl.ch/files/content/sites/mathicse/files/Mathicse%20reports%202012/24.2012_JB-FN-LT-RT.pdf
https://dblp.uni-trier.de/db/journals/cma/cma67.html#BeckNTT14
https://infoscience.epfl.ch/record/180948

Asymptotic expansions for multivariate polynomial approximation

Autoři: Walz, Guido

Zdroj: Journal of Computational and Applied Mathematics. 122:317-328

Témata: Bernstein operator, asymptotic expansion, Applied Mathematics, Extrapolation, Multidimensional problems, extrapolation, Asymptotic expansion, 01 natural sciences, Multivariate polynomial approximation, Computational Mathematics, Approximation by polynomials, Convergence acceleration, convergence acceleration, 0101 mathematics, multivariate polynomial approximation

Popis souboru: application/xml

Přístupová URL adresa: https://ui.adsabs.harvard.edu/abs/2000JCoAM.122..317W/abstract
https://www.sciencedirect.com/science/article/pii/S0377042700003587
https://dialnet.unirioja.es/servlet/articulo?codigo=700168
https://madoc.bib.uni-mannheim.de/1597/

Increasing the polynomial reproduction of a quasi-interpolation operator

Autoři: Shayne Waldron

Zdroj: Journal of Approximation Theory. 161:114-126

Témata: Finite element method, Mathematics(all), Numerical Analysis, Chu–Vandermonde convolution, Applied Mathematics, Lagrange interpolation, Quasi-interpolation, 01 natural sciences, Multivariate polynomial approximation, Bernstein polynomial, Multipoint Taylor formula, Divided differences, 0101 mathematics, Error formula, Analysis

Přístupová URL adresa: https://core.ac.uk/display/82446606
https://www.sciencedirect.com/science/article/pii/S0021904508001640#!
https://www.sciencedirect.com/science/article/pii/S0021904508001640
https://dialnet.unirioja.es/servlet/articulo?codigo=3077845
https://www.sciencedirect.com/science/article/abs/pii/S0021904508001640
https://dblp.uni-trier.de/db/journals/jat/jat161.html#Waldron09

An anisotropic sparse grid stochastic collocation method for partial differential equations with random input data

Autoři: Nobile, F. Tempone, Raul Webster, C. G.

Zdroj: SIAM Journal on Numerical Analysis. 46(5):2411-2442

Témata: collocation techniques, PDEs with random data, differential equations, finite elements, uncertainty quantification, anisotropic sparse grids, Smolyak sparse approximation, multivariate polynomial approximation, elliptic problems, finite-elements, uncertainty, coefficients, approximations, propagation, expansions, quadrature, chaos

Popis souboru: print

Přístupová URL adresa: https://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-17703

A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data

Autoři: NOBILE, FABIO TEMPONE R WEBSTER C.

Zdroj: SIAM Journal on Numerical Analysis. 46:2309-2345

Témata: collocation techniques, stochastic PDEs, finite elements, uncertainty quantification, sparse grids, Smolyak approximation, multivariate polynomial approximation, 0101 mathematics, 01 natural sciences

Popis souboru: application/pdf

Přístupová URL adresa: http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000046000005002309000001&idtype=cvips&gifs=yes
https://hdl.handle.net/11311/513570
https://doi.org/10.1137/060663660

Polynomial Meshes: Computation and Approximation

Autoři: DE MARCHI, STEFANO PIAZZON, FEDERICO SOMMARIVA, ALVISE a další

Přispěvatelé: DE MARCHI, STEFANO PIAZZON, FEDERICO SOMMARIVA, ALVISE a další

Témata: Multivariate Polynomial Approximation, Weakly Admissible Meshes, Discrete Extremal Sets

Popis souboru: STAMPA

Relation: info:eu-repo/semantics/altIdentifier/isbn/978-84-617-2230-3; ispartofbook:CMMSE 2015 : Proceedings of the 15th International Conference on Mathematical Methods in Science and Engineering; volume:I-II-III-IV; firstpage:414; lastpage:425; numberofpages:12; alleditors:J. Vigo-Aguiar; https://hdl.handle.net/11577/3167966; http://cmmse.usal.es

Dostupnost: https://hdl.handle.net/11577/3167966
http://cmmse.usal.es

A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data

Autoři: Ivo Babus caron Raul Tempone Fabio Nobile a další

Přispěvatelé: Ivo Babus caron Raul Tempone Fabio Nobile a další

Zdroj: SIAM Journal on Numerical Analysis. 45:1005-1034

Témata: uncertainty quantification, convergence rates, partial differential equations with random inputs, finite elements, stochastic collocation method, multivariate polynomial approximation, Smolyak approximation, anisotropic sparse approximation, 0101 mathematics, 01 natural sciences

Popis souboru: application/pdf

Přístupová URL adresa: https://repository.kaust.edu.sa/bitstream/10754/555664/1/100786356.pdf
https://dblp.uni-trier.de/db/journals/siamnum/siamnum45.html#BabuskaNT07
http://kth.diva-portal.org/smash/record.jsf?pid=diva2:334790
https://research.kaust.edu.sa/en/publications/a-stochastic-collocation-method-for-elliptic-partial-differential-2
http://www.diva-portal.org/smash/record.jsf?pid=diva2:334790
https://dl.acm.org/doi/10.1137/050645142
https://epubs.siam.org/doi/10.1137/050645142
https://hdl.handle.net/11311/551573
https://doi.org/10.1137/050645142
https://hdl.handle.net/11311/573742
http://siamdl.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SIREAD000052000002000317000001&idtype=cvips&gifs=Yes
https://doi.org/10.1137/100786356

Shape‐preserving multivariate polynomial approximation in C[−1,1]m: Shape-preserving multivariate polynomial approximation in \(C[-1,1]^m\)

Autoři: Ciprian S. Gal Sorin G. Gal

Zdroj: International Journal of Mathematics and Mathematical Sciences, Vol 2004, Iss 7, Pp 325-333 (2004)

Témata: Approximation by polynomials, Approximation with constraints, QA1-939, Multidimensional problems, shape preserving approximation, 01 natural sciences, Mathematics, multivariate polynomial approximation, 0104 chemical sciences

Popis souboru: application/xml

Přístupová URL adresa: http://downloads.hindawi.com/journals/ijmms/2004/934927.pdf
https://doaj.org/article/657fd60b3b9d4ece9182c1d9ec4b24d8
https://www.maths.tcd.ie/EMIS/journals/HOA/IJMMS/2004/5-8325.pdf
https://dblp.uni-trier.de/db/journals/ijmmsc/ijmmsc2004.html#GalG04
https://downloads.hindawi.com/journals/ijmms/2004/934927.pdf
https://www.hindawi.com/journals/ijmms/2004/934927/
https://eudml.org/doc/51721

The theory of multi-dimensional polynomial approximation

Autoři: Moshe Dubiner

Zdroj: Journal d'Analyse Mathématique. 67:39-116

Témata: Approximation by polynomials, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), quasi-optimal metrics, Multidimensional problems, modulus of approximation, 0101 mathematics, 01 natural sciences, multivariate polynomial approximation

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/content/pdf/10.1007/BF02787786.pdf
https://link.springer.com/article/10.1007%2FBF02787786

Polynomial Interpolation and Hyperinterpolation over General Regions: Polynomial interpolation and hyperinterpolation over general regions

Autoři: Ian H. Sloan

Zdroj: Journal of Approximation Theory. 83:238-254

Témata: Mathematics(all), Numerical Analysis, Approximation by polynomials, Applied Mathematics, quadrature, 0101 mathematics, Numerical quadrature and cubature formulas, 01 natural sciences, multivariate polynomial approximation, Analysis, Approximate quadratures

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/827935
https://doi.org/10.1006/jath.1995.1119
https://core.ac.uk/display/81969982
https://www.sciencedirect.com/science/article/pii/S0021904585711197

Analysis and implementation issues for the numerical approximation of parabolic equations with random coefficients

Autoři: Fabio Nobile Raul Tempone The Pennsylvania State University CiteSeerX Archives

Přispěvatelé: Fabio Nobile Raul Tempone The Pennsylvania State University CiteSeerX Archives

Zdroj: http://mox.polimi.it/it/progetti/pubblicazioni/quaderni/22-2008.pdf.

Témata: PDEs with random data, parabolic equations, multivariate polynomial approximation, Stochastic Galerkin methods, Stochastic Collo- cation methods, sparse grids, Smolyak approximation, Point Collocation, Monte Carlo Sampling

Popis souboru: application/pdf

Relation: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.487.242

Dostupnost: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.487.242
http://mox.polimi.it/it/progetti/pubblicazioni/quaderni/22-2008.pdf

Stochastic Spectral Galerkin and Collocation Methods for PDEs with Random Coefficients: A Numerical Comparison

Autoři: J. Bäck NOBILE, FABIO TAMELLINI, LORENZO a další

Zdroj: Lecture Notes in Computational Science and Engineering ISBN: 9783642153365

Témata: Elliptic equations - Multivariate polynomial approximation - PDEs with random data - Smolyak approximation - Stochastic collocation methods - Stochastic Galerkin methods - Uncertainty quantification, 0101 mathematics, 01 natural sciences

Přístupová URL adresa: https://re.public.polimi.it/handle/11311/608377
https://infoscience.epfl.ch/record/176366
https://repository.kaust.edu.sa/handle/10754/575778
https://link.springer.com/chapter/10.1007%2F978-3-642-15337-2_3
https://rd.springer.com/chapter/10.1007/978-3-642-15337-2_3
http://www.icms.org.uk/downloads/uq/Nobile.pdf
http://www.springerlink.com/content/l36v035313r1gg07
https://hdl.handle.net/11311/608377
https://doi.org/10.1007/978-3-642-15337-2_3

Constructive Approximation manuscript No. (will be inserted by the editor) Power Series Kernels

Autoři: Barbara Zwicknagl The Pennsylvania State University CiteSeerX Archives

Přispěvatelé: Barbara Zwicknagl The Pennsylvania State University CiteSeerX Archives

Zdroj: http://www.mis.mpg.de/preprints/2006/preprint2006_155.pdf.

Témata: multivariate polynomial approximation, Bernstein theorem, dot prod- uct kernels, reproducing kernel Hilbert spaces, error bounds, convergence orders

Popis souboru: application/pdf

Relation: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.86.5528; http://www.mis.mpg.de/preprints/2006/preprint2006_155.pdf

Dostupnost: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.86.5528
http://www.mis.mpg.de/preprints/2006/preprint2006_155.pdf

ON THE OPTIMAL POLYNOMIAL APPROXIMATION OF STOCHASTIC PDES BY GALERKIN AND COLLOCATION METHODS

Autoři: Lorenzo Tamellini Raul Tempone Fabio Nobile a další

Přispěvatelé: Lorenzo Tamellini Raul Tempone Fabio Nobile a další

Zdroj: Mathematical Models and Methods in Applied Sciences. 22

Témata: best M-terms polynomial approximation, stochastic Galerkin methods, stochastic collocation methods, sparse grids, elliptic equations, PDEs with random data, Uncertainty quantification, multivariate polynomial approximation, Smolyak approximation, 0101 mathematics, 01 natural sciences

Přístupová URL adresa: https://infoscience.epfl.ch/record/176370
https://www.mate.polimi.it/biblioteca/add/qmox/23-2011.pdf
https://repository.kaust.edu.sa/handle/10754/562295
https://www.worldscientific.com/doi/abs/10.1142/S0218202512500236
https://hdl.handle.net/11311/685876
https://doi.org/10.1142/S0218202512500236
http://www.worldscientific.com/doi/abs/10.1142/S0218202512500236