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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.
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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.
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Fast method for computing the Fourier integral transform via Simpson's numerical integration
Journal of Biomedical Engineering, 1985A 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
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Transformation Methods for the Numerical Integration of Three-Dimensional Singular Functions
Journal of Scientific Computing, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alfredo Cano, Carlos Moreno
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Journal of Computational and Applied Mathematics, 2022
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Zeinali, Masoumeh +2 more
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Zeinali, Masoumeh +2 more
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Comparison among Several Numerical Integration Methods for Kramers-Kronig Transformation
Applied Spectroscopy, 1988Several 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
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A Fuzzy Transform Method for Numerical Solution of Fractional Volterra Integral Equations
International Journal of Applied and Computational Mathematics, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Agheli, B., Firozja, M. Adabitabar
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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
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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
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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
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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
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Applied Mathematics and Computation, 2015
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Raoofian Naeeni M. +3 more
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Raoofian Naeeni M. +3 more
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