Results 21 to 30 of about 108,806 (312)
Dirac Integral Equations for Dielectric and Plasmonic Scattering [PDF]
, 2021 A new integral equation formulation is presented for the Maxwell transmission problem in Lipschitz domains. It builds on the Cauchy integral for the Dirac equation, is free from false eigenwavenumbers for a wider range of permittivities than other known ...
Helsing, Johan, +5 more
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INTEGRATION OF PARTIALLY INTEGRABLE EQUATIONS [PDF]
Waves and Stability in Continuous Media, 2006 12 p, WASCOM XIII (Acireale, 19-25 June 2005)
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Numerics of boundary-domain integral and integro-differential equations for BVP with variable coefficient in 3D [PDF]
, 2013 This is the post-print version of the article. The official published version can be accessed from the links below - Copyright @ 2013 Springer-VerlagA numerical implementation of the direct boundary-domain integral and integro-differential equations ...
Mikhailov, SE +2 more
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About a Problem for Loaded Parabolic-Hyperbolic Type Equation with Fractional Derivatives
International Journal of Differential Equations, 2016 An existence and uniqueness of solution of local boundary value problem with discontinuous matching condition for the loaded parabolic-hyperbolic equation involving the Caputo fractional derivative and Riemann-Liouville integrals have been investigated ...
Kishin B. Sadarangani +1 more
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Newton-Krylov generalized minimal residual algorithm in solving nonlinear Volterra-Fredholm-Hammerstein integral equations [PDF]
Mathematics and Computational Sciences, 2021 In this paper, Galerkin and collocation methods based on shifted Legendre polynomials and spectral methods have been applied on nonlinear Volterra-Fredholm-Hammerstein (VFH) integral equations, these methods transfer the finding solution of a nonlinear ...
Ahmad Zavvartorbati
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Families of Integrable Equations [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2011 We present a method to obtain families of lattice equations. Specifically we focus on two of such families, which include 3-parameters and their members are connected through Bäcklund transformations. At least one of the members of each family is integrable, hence the whole family inherits some integrability properties.
Kassotakis, P., Nieszporski, M.
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Comparison of the Orthogonal Polynomial Solutions for Fractional Integral Equations
Mathematics, 2019 In this paper, a collocation method based on the orthogonal polynomials is presented to solve the fractional integral equations. Six numerical examples are given to illustrate the method. The results are compared with the other methods in the literature,
Ayşegül Daşcıoğlu, Serpil Salınan
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Regularised discretisations obtained from first‐kind Fredholm operator equations
IET Microwaves, Antennas & Propagation, 2021 Judicious discretisations of certain first‐kind Fredholm operator equations are tantamount to Fredholm infinite‐matrix equations of the second kind. We give detailed explanations for the occurrence of this interesting and useful phenomenon and carefully ...
George Fikioris
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CoRR, 2022 16 + 26 pages, 18 figures and 10 tables. v5: Some additional experiments have been performed, some explanations and reference added. Article published on Nature Machine Intelligence with the more descriptive title: "Learning integral operators via neural integral equations"
Zappala, Emanuele +6 more
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Generalized Bihari Type Integral Inequalities and the Corresponding Integral Equations
Journal of Inequalities and Applications, 2009 We study some special nonlinear integral inequalities and the corresponding integral equations in measure spaces. They are significant generalizations of Bihari type integral inequalities and Volterra and Fredholm type integral equations.
László Horváth
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