Results 251 to 260 of about 7,062,891 (319)

Linear Integral Equations

Applied Mathematical Sciences (Switzerland), 1989
3
Rainer Kress
exaly   +6 more sources

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Fourier Neural Operator for Parametric Partial Differential Equations

International Conference on Learning Representations, 2020
The classical development of neural networks has primarily focused on learning mappings between finite-dimensional Euclidean spaces. Recently, this has been generalized to neural operators that learn mappings between function spaces.
Zong-Yi Li, N. Kovachki, K. Azizzadenesheli, Burigede Liu, K. Bhattacharya, Andrew M. Stuart, Anima Anandkumar   +6 more
semanticscholar   +1 more source

On Fuzzy Integral Equations

Fundamenta Informaticae, 1999
Using the embedding method, the fuzzy integral is represented as a parametric Riemann integral. An algorithm which approximates this integral uniformly, is incorporated to design a soft computing tool for solving a fuzzy Fredholm integral equation of the second kind with arbitrary kernel, using a uniformly convergent iterative procedure.
Menahem Friedman, Ming Ma 0001, Abraham Kandel   +2 more
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Anticipating Integral Equations

Potential Analysis, 2000
The authors consider a stochastic Volterra equation of the form \[ X_t= Y_t+ \int^t_0 F_1(t,s,X_s) ds+\int^t_0 G(t,s)H (s,X_s)dW_s, \] where \(W\) is a real Brownian motion which generates the filtration \({\mathcal F}\), \(H(s,x)\) is a progressively measurable process and \(G(t,s)\) is \({\mathcal F}_t\)-measurable and smooth in Malliavin calculus ...
León, Jorge A., Nualart, David
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On an Abstract Integral Equation

SIAM Journal on Mathematical Analysis, 1979
The existence of solutions of the nonlinear Volterra equation \[u(t) + \int_0^t {k(t - s)} gu(s)ds \ni f(t)\] is studied in a real Hilbert space. The nonlinear operator g is assumed to be the subdifferential of a convex function. The results obtained extend earlier ones by Barbu (SIAM J. Math. Anal., 1975), Londen (SIAM J. Math. Anal., 1977) and Londen
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Fuzzy integral equations

Information Sciences, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
John N. Mordeson, William Newman
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Integral Equations

A Course on Integral Equations with Numerical Analysis, 2021
T. Allahviranloo, Armin Esfandiari
semanticscholar   +1 more source

An Integral Equation Technique

SIAM Journal on Applied Mathematics, 1974
This paper deals with an integral equation technique to reduce the solution of $n(n\geqq 2)$ simultaneous Fredholm integral equations of the first kind to that of $2n$ Volterra integral equations of the first kind and n simultaneous Fredholm integral equations of the second kind.
Vaid, B. K., Jain, D. L.
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Abel’s Integral Equation and Singular Integral Equations

2011
Abel’s integral equation occurs in many branches of scientific fields [1], such as microscopy, seismology, radio astronomy, electron emission, atomic scattering, radar ranging, plasma diagnostics, X-ray radiography, and optical fiber evaluation. Abel’s integral equation is the earliest example of an integral equation [2].
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On integrating the vlasov equation

Journal of Nuclear Energy. Part C, Plasma Physics, Accelerators, Thermonuclear Research, 1962
A first step in analysing the stability of solutions of the Vlasov equation governing hot plasmas of low density is to solve the linearized equation for the perturbed space and velocity distribution function in terms of the perturbed electric and magnetic fields.
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