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A Numerical Method for Solving Volterra Integral Equations with Oscillatory Kernels Using a Transform

Numerical Analysis and Applications, 2021
In the present work, a numerical scheme is constructed for approximation of a class of Volterra integral equations of convolution type with highly oscillatory kernels. The proposed numerical technique transforms Volterra integral equations of convolution type into simple algebraic equations.
Uddin, M., Khan, A.
openaire   +1 more source

Fast method for computing the Fourier integral transform via Simpson's numerical integration

Journal of Biomedical Engineering, 1985
A new algorithm for computing the Fourier transform is described. The method is based on the calculation of the Fourier integral transform (FIT) with the aid of the numerical Simpson's integration technique. Compared to the conventional fast Fourier transform (FFT), the new SFIT algorithm, gives results which are much closer to the analytic Fourier ...
P, Simonen, H, Olkkonen
openaire   +2 more sources

Transformation Methods for the Numerical Integration of Three-Dimensional Singular Functions

Journal of Scientific Computing, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alfredo Cano, Carlos Moreno
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Recursive higher order fuzzy transform method for numerical solution of Volterra integral equation with singular and nonsingular kernels

Journal of Computational and Applied Mathematics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zeinali, Masoumeh   +2 more
openaire   +1 more source

Comparison among Several Numerical Integration Methods for Kramers-Kronig Transformation

Applied Spectroscopy, 1988
Several numerical integration methods are compared in order to search out the most effective method for the Kramers-Kronig transformation, using the analytical formula of the Kramers-Kronig transformation of a Lorentzian function as a reference. The methods to be compared involve the use of (1) Maclaurin's formula, (2) trapezium formula, (3) Simpson's
Koji Ohta, Hatsuo Ishida
openaire   +1 more source

A Fuzzy Transform Method for Numerical Solution of Fractional Volterra Integral Equations

International Journal of Applied and Computational Mathematics, 2019
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Agheli, B., Firozja, M. Adabitabar
openaire   +1 more source

Numerical method based on conformal transformations for calculating resistances in integrated circuits

International Journal of Electronics, 1986
ABSTRACT In this work we present a procedure for calculating resistances in rectangles with two external contacts which is based on the Schwarz-Christoffel conformal transformation. The elliptic integrals and functions resulting from this transformation are calculated by means of polynomial and series expansion approximations, incorporated in a ...
M. GLEZ. HARBOUR, J. M. DRAKE
openaire   +1 more source

Fourier transform path integral method: numerical technique for scalar scattering in inhomogeneous regions

IEE Proceedings H Microwaves, Antennas and Propagation, 1993
The path integral can be described as a Green's function, although not in closed form, for Helmholtz equation in an inhomogeneous region. Here a straightforward heuristic derivation of the path integral is presented. The Fourier transform path integral method, a numerical technique applicable under scalar scattering conditions is also presented ...
R.D. Nevels, C. Huang, Z. Wu
openaire   +1 more source

Performance comparison of numerical inversion methods for Laplace and Hankel integral transforms in engineering problems

Applied Mathematics and Computation, 2015
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Raoofian Naeeni M.   +3 more
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