Suchergebnisse - Applications of operator theory in numerical analysis

  1. 1

    Quantitative inheritance properties for simultaneous approximation by tensor product operators II: Applications von Laura Beutel, Heiner Gonska

    ISSN: 2457-6794, 2501-059X
    Veröffentlicht: Publishing House of the Romanian Academy 01.12.2021
    “… We summarize several general results concerning quantitative inheritance properties for simultaneous approximation by tensor product operators and apply these to various situations …”
    Volltext
    Journal Article
  2. 2

    Quantitative inheritance properties for simultaneous approximation by tensor product operators II: Applications von Laura Beutel, Heiner Gonska

    ISSN: 2457-6794, 2501-059X
    Veröffentlicht: Publishing House of the Romanian Academy 01.12.2021
    “… We summarize several general results concerning quantitative inheritance properties for simultaneous approximation by tensor product operators and apply these to various situations …”
    Volltext
    Journal Article
  3. 3

    Quantitative inheritance properties for simultaneous approximation by tensor product operators II: Applications von Laura Beutel, Heiner Gonska

    ISSN: 2457-6794, 2501-059X
    Veröffentlicht: Publishing House of the Romanian Academy 01.12.2021
    “… We summarize several general results concerning quantitative inheritance properties for simultaneous approximation by tensor product operators and apply these to various situations …”
    Volltext
    Journal Article
  4. 4

    Theoretical and numerical analysis of a chaotic model with nonlocal and stochastic differential operators von Koca, İlknur, Atangana, Abdon

    ISSN: 2146-0957, 2146-5703
    Veröffentlicht: Balikesir Balikesir University, Faculty of Engineering Department of Industrial Engineering 01.01.2023
    “… The work tries to establish some theoretical and analytical insights when the usual time-deferential operator is replaced with the Caputo fractional derivative …”
    Volltext
    Journal Article
  5. 5

    Quantitative inheritance properties for simultaneous approximation by tensor product operators II: Applications von Laura Beutel, Heiner Gonska

    ISSN: 2457-6794, 2501-059X
    Veröffentlicht: Publishing House of the Romanian Academy 31.12.2021
    “… We summarize several general results concerning quantitative inheritance properties for simultaneous approximation by tensor product operators and apply these to various situations …”
    Volltext
    Journal Article
  6. 6

    Morrey Spaces: Introduction and Applications to Integral Operators and PDE's, Volume I von Sawano, Yoshihiro

    ISBN: 9781498765510, 1498765513, 9780429546723, 0429085923, 0429532024, 9780429085925, 9780429532023, 0429546726
    Veröffentlicht: CRC Press 2020
    “… The technique is very useful in many areas in mathematics, in particular in harmonic analysis, potential theory, partial differential equations and mathematical physics …”
    Volltext
    E-Book
  7. 7

    Operator Scaling: Theory and Applications von Garg, Ankit, Gurvits, Leonid, Oliveira, Rafael, Wigderson, Avi

    ISSN: 1615-3375, 1615-3383
    Veröffentlicht: New York Springer US 01.04.2020
    Veröffentlicht in Foundations of computational mathematics (01.04.2020)
    “… In this paper, we present a deterministic polynomial time algorithm for testing whether a symbolic matrix in non-commuting variables over Q is invertible or …”
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  8. 8

    Theory and Applications of Robust Optimization von Bertsimas, Dimitris, Brown, David B., Caramanis, Constantine

    ISSN: 0036-1445, 1095-7200
    Veröffentlicht: Philadelphia, PA Society for Industrial and Applied Mathematics 01.01.2011
    Veröffentlicht in SIAM review (01.01.2011)
    “… Finally, we highlight applications of RO across a wide spectrum of domains, including finance, statistics, learning, and various areas of engineering …”
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    Journal Article
  9. 9

    Fractional Sturm–Liouville eigen-problems: Theory and numerical approximation von Zayernouri, Mohsen, Karniadakis, George Em

    ISSN: 0021-9991, 1090-2716
    Veröffentlicht: Elsevier Inc 01.11.2013
    Veröffentlicht in Journal of computational physics (01.11.2013)
    “… ). The corresponding fractional differential operators in these problems are both of Riemann–Liouville and Caputo type, of the same fractional order μ=ν/2∈(0,1 …”
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  10. 10

    Applications of Distributed-Order Fractional Operators: A Review von Ding, Wei, Patnaik, Sansit, Sidhardh, Sai, Semperlotti, Fabio

    ISSN: 1099-4300, 1099-4300
    Veröffentlicht: Switzerland MDPI AG 15.01.2021
    Veröffentlicht in Entropy (Basel, Switzerland) (15.01.2021)
    “… Distributed-order fractional calculus (DOFC) is a rapidly emerging branch of the broader area of fractional calculus that has important and far-reaching applications for the modeling of complex systems …”
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    Journal Article
  11. 11

    A review of peridynamic theory and nonlocal operators along with their computer implementations von Dorduncu, Mehmet, Ren, Huilong, Zhuang, Xiaoying, Silling, Stewart, Madenci, Erdogan, Rabczuk, Timon

    ISSN: 0045-7949
    Veröffentlicht: United States Elsevier Ltd 01.08.2024
    Veröffentlicht in Computers & structures (01.08.2024)
    “… This study presents a comprehensive exploration of Peridynamic (PD) theory, with a specific focus on its theoretical foundations and practical implementations, including various PD formulations and PD operators …”
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  12. 12

    Asymptotic spectra of large (grid) graphs with a uniform local structure, Part II: Numerical applications von Adriani, Andrea, Bianchi, Davide, Ferrari, Paola, Serra-Capizzano, Stefano

    ISSN: 0377-0427, 1879-1778, 1879-1778
    Veröffentlicht: Elsevier B.V 01.02.2024
    Veröffentlicht in Journal of computational and applied mathematics (01.02.2024)
    “… In the current work we are concerned with sequences of graphs having a grid geometry, with a uniform local structure in a bounded domain Ω⊂Rd, d≥1. When …”
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    Journal Article
  13. 13

    Discrete Pseudo-differential Operators and Applications to Numerical Schemes von Faou, Erwan, Grébert, Benoît

    ISSN: 1615-3375, 1615-3383
    Veröffentlicht: New York Springer US 01.04.2025
    Veröffentlicht in Foundations of computational mathematics (01.04.2025)
    “… We consider a class of discrete operators introduced by O. Chodosh, acting on infinite sequences and mimicking standard properties of pseudo-differential operators …”
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    Journal Article
  14. 14

    Morrey Spaces: Introduction and Applications to Integral Operators and PDE's, Volume II von Sawano, Yoshihiro, Di Fazio, Giuseppe, Hakim, Denny Ivanal

    ISBN: 0367459159, 9780367459154, 1000064077, 1003029078, 1000064069, 9781000064063, 9781000064070, 9781003029076
    Veröffentlicht: CRC Press 2020
    “… The technique is very useful in many areas in mathematics, in particular in harmonic analysis, potential theory, partial differential equations and mathematical physics …”
    Volltext
    E-Book
  15. 15

    A new class of gamma-type operator and its improvement: theory and numerical experiments: A new class of gamma-type operator and its improvement von Khosravian-Arab, Hassan, Dehghan, Mehdi

    ISSN: 2238-3603, 1807-0302
    Veröffentlicht: Cham Springer International Publishing 01.07.2025
    Veröffentlicht in Computational & applied mathematics (01.07.2025)
    “… Additionally, two discrete forms of these operators, designed for numerical applications, are introduced …”
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  16. 16

    Antieigenvalue analysis: with applications to numerical analysis, wavelets, statistics, quantum mechanics, finance and optimization von Gustafson, Karl

    ISBN: 9789814366281, 9814366285
    Veröffentlicht: Singapore World Scientific Publishing Co. Pte. Ltd 2012
    “… Karl Gustafson is the creator of the theory of antieigenvalue analysis. Its applications spread through fields as diverse as numerical analysis, wavelets, statistics, quantum mechanics, and finance …”
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  17. 17

    Dynamical systems : method and applications : theoretical developments and numerical examples von Ramm, Alexander G., Hoang, Nguyen S.

    ISBN: 1118024281, 9781118024287, 9781118199619, 1118199618
    Veröffentlicht: Hoboken, N.J Wiley 2012
    “… Demonstrates the application of DSM to solve a broad range of operator equations The dynamical systems method (DSM …”
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  18. 18

    Error Estimates for Spectral Convergence of the Graph Laplacian on Random Geometric Graphs Toward the Laplace–Beltrami Operator von García Trillos, Nicolás, Gerlach, Moritz, Hein, Matthias, Slepčev, Dejan

    ISSN: 1615-3375, 1615-3383
    Veröffentlicht: New York Springer US 01.08.2020
    Veröffentlicht in Foundations of computational mathematics (01.08.2020)
    “… ) to the eigenvalues and eigenfunctions of the weighted Laplace–Beltrami operator of M . No information on the submanifold M is needed in the construction of the graph …”
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  19. 19

    Numerical analysis of nonlinear fractional Klein–Fock–Gordon equation arising in quantum field theory via Caputo–Fabrizio fractional operator von Prakash, Amit, Kumar, Ajay, Baskonus, Haci Mehmet, Kumar, Ashok

    ISSN: 2008-1359, 2251-7456
    Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2021
    Veröffentlicht in Mathematical sciences (Karaj, Iran) (01.09.2021)
    “… –Gordon equation in the form of rapidly convergent series. Existence and uniqueness analysis of the considered model is provided …”
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  20. 20

    Mathematical model of COVID-19 spread in Turkey and South Africa: theory, methods, and applications von Atangana, Abdon, İğret Araz, Seda

    ISSN: 1687-1847, 1687-1839, 1687-1847
    Veröffentlicht: Cham Springer International Publishing 01.01.2020
    Veröffentlicht in Advances in difference equations (01.01.2020)
    “… An exhaustive statistical analysis was performed using data collected from Turkey and South Africa within the period of 11 March 2020 to 3 May 2020 and 05 March and 3 of May, respectively …”
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