Results 171 to 180 of about 3,600 (223)

Analysis of the influence of nonlocal factors on the vibration of Rayleigh nonlocal nanobeams on elastic foundations. [PDF]

Sci Rep
Zhao K, Wang G, Zhou Z, Wang L.
europepmc   +1 more source

Kolmogorov GAM Networks Are All You Need! [PDF]

Entropy (Basel)
Polson S, Sokolov V.
europepmc   +1 more source

Computation of the eigenvalues of Fredholm–Stieltjes integral equations

Applicable Analysis, 2006
The Rayleigh–Ritz and the inverse iteration methods are used in order to compute the eigenvalues of Fredholm–Stieltjes integral equations, i.e. Fredholm equations with respect to suitable Stieltjes-type measures. Some applications to the so-called ‘charged’ (in German ‘belastete’) integral equation, and particularly the problem of computing the ...
P. NATALINI, RICCI, Paolo Emilio
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The -method and Fredholm integral equations

Computer Methods in Applied Mechanics and Engineering, 1977
Abstract Instead of using approximate methods on the equation f(x) = g(x) + λ ∫ 0 1 K(x,t)f(t) dt , the τ-method is employed to obtain the exact solution of the equation h(x) = g(x) + λ ∫ 0 1 K(x,t)h(t) dt + R(x,λ) ,The analytical from of R(x, λ) determines the type of approximation which results.
Fair, Wyman, Wimp, Jet
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Parallel solution of Fredholm integral equations

Parallel Computing, 1989
Nyström and Galerkin procedures are examined numerically. In both cases, parallel variants to obtain the matrices and to solve the linear matrix systems, are performed. There results superiority of the parallel variants for a large number of discretization points or functions in the Galerkin ansatz, respectively.
Esmail Babolian, L. M. Delves
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A simplification to Fredholm’s solution to the Fredholm integral equation of the second kind

Applied Mathematics and Computation, 2007
The authors provide a simplification of the solution of a Fredholm integral equation of the second kind in terms of a ratio of determinants. Combinatorial arguments allow a major simplification of Fredholm's solution formula, economizing in particular on the number of multiple integrals to evaluate.
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On the numerical solutions of Fredholm–Volterra integral equation

Applied Mathematics and Computation, 2003
The authors describe the Toeplitz matrix method and the product Nystrom method for the mixed Fredholm-Volterra singular integral equation of the second kind: \[ \mu\phi(x,t)-\lambda\int_{-1}^1k(x,y)\phi(y,t)\,dy- \lambda\int_0^tF(t, \tau)\phi(x,\tau)\,d\tau= f(x,t),\quad 0\leqslant t\leqslant T,\;| x| \leqslant1,\tag{1} \] where \(k\), \(F\) and \(f ...
M. A. Abdou 0001, Khamis I. Mohamed, Aida Shafawati Ismail   +2 more
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On Solving Fredholm Integral Equations of the First Kind

Journal of the ACM, 1977
A method for numerical solution of Fredholm integral equations of the first kind is derived and illustrated The solution f(x) of the integral equation is assumed to be a sample function of a wide-sense stationary random process with known autocorrelaUon function.
SAHASRABUDHE, SC, KULKARNI, AD
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On Volterra–Fredholm Equations with Partial Integrals

Differential Equations, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fredholm Integral Equations

2011
It was stated in Chapter 2 that Fredholm integral equations arise in many scientific applications. It was also shown that Fredholm integral equations can be derived from boundary value problems. Erik Ivar Fredholm (1866– 1927) is best remembered for his work on integral equations and spectral theory. Fredholm was a Swedish mathematician who established
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