Search Results - Applications of operator theory in numerical analysis

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

“…We summarize several general results concerning quantitative inheritance properties for simultaneous approximation by tensor product operators and apply these to various situations…”
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Quantitative inheritance properties for simultaneous approximation by tensor product operators II: Applications by Laura Beutel, Heiner Gonska

“…We summarize several general results concerning quantitative inheritance properties for simultaneous approximation by tensor product operators and apply these to various situations…”
Get full text

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

“…We summarize several general results concerning quantitative inheritance properties for simultaneous approximation by tensor product operators and apply these to various situations…”
Get full text

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

“… The work tries to establish some theoretical and analytical insights when the usual time-deferential operator is replaced with the Caputo fractional derivative…”
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Quantitative inheritance properties for simultaneous approximation by tensor product operators II: Applications by Laura Beutel, Heiner Gonska

“…We summarize several general results concerning quantitative inheritance properties for simultaneous approximation by tensor product operators and apply these to various situations…”
Get full text

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

“… The technique is very useful in many areas in mathematics, in particular in harmonic analysis, potential theory, partial differential equations and mathematical physics…”
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Operator Scaling: Theory and Applications by Garg, Ankit, Gurvits, Leonid, Oliveira, Rafael, Wigderson, Avi

“…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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Theory and Applications of Robust Optimization by Bertsimas, Dimitris, Brown, David B., Caramanis, Constantine

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

“…). 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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Applications of Distributed-Order Fractional Operators: A Review by Ding, Wei, Patnaik, Sansit, Sidhardh, Sai, Semperlotti, Fabio

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

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

“…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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Discrete Pseudo-differential Operators and Applications to Numerical Schemes by Faou, Erwan, Grébert, Benoît

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

“… The technique is very useful in many areas in mathematics, in particular in harmonic analysis, potential theory, partial differential equations and mathematical physics…”
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A new class of gamma-type operator and its improvement: theory and numerical experiments: A new class of gamma-type operator and its improvement by Khosravian-Arab, Hassan, Dehghan, Mehdi

“… Additionally, two discrete forms of these operators, designed for numerical applications, are introduced…”
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Antieigenvalue analysis: with applications to numerical analysis, wavelets, statistics, quantum mechanics, finance and optimization by Gustafson, Karl

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

“…Demonstrates the application of DSM to solve a broad range of operator equations The dynamical systems method (DSM…”
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Error Estimates for Spectral Convergence of the Graph Laplacian on Random Geometric Graphs Toward the Laplace–Beltrami Operator by García Trillos, Nicolás, Gerlach, Moritz, Hein, Matthias, Slepčev, Dejan

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

“…–Gordon equation in the form of rapidly convergent series. Existence and uniqueness analysis of the considered model is provided…”
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Mathematical model of COVID-19 spread in Turkey and South Africa: theory, methods, and applications by Atangana, Abdon, İğret Araz, Seda

“… 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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