The integral-equations tag has no wiki summary.
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1answer
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Flux calculation - discretization of solid angle
I am currently tasked with calculating the total flux of photons or irradiance from a flat emitter ('pixel'). Previously we measured the Luminance head-on (90 degree from the emitting surface) and ...
1
vote
1answer
164 views
In c++, how to calculate the analytical value of the area between the sine curve and the x-axis?
How would I find the definite integral (between any 2 limits, say a and b) of the absolute value of sin(x)?
I can calculate for the interval 0 to Pi, and from 0 to 2*Pi, but what if the user enters a ...
8
votes
1answer
169 views
Numerical integration for modelling curve for superconductors (Python)
I am a physicist who is trying to model the current-voltage characteristics of a superconductor-superconductor junction.
The equation for this model is:
\begin{align}
I(V) = ...
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0answers
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Lax equivalence theorem for integro-differential equation
Can the Lax equivalence theorem (http://en.wikipedia.org/wiki/Lax_equivalence_theorem) be applied to the discretization of integro-differential equations, or does a similar theorem exist for them?
3
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2answers
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Representing an integral as a special function
In my research I have come across the following integral
\begin{equation}
f = \int_0^{2\pi} \text{d}\theta \exp\left\{\frac{3}{2}(h_1 \cos^2\theta + h_2 \sin^2\theta + 2 h_{12} \sin\theta ...
3
votes
2answers
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What does fundamental solutions stand for in boundary element method?
I gain some introductory knowledge from the materials I read. I feel Ok with the numerical implementation part of boundary element method when the integral equation has been formulated.
But the ...
2
votes
2answers
157 views
Numerical solution of fractional integro-diffrential equ. using collocation method?
problem comes from
"Numerical solution of fractional integro-differential , equations by collocation method , E.A. Rawashdeh, Department of Mathematics, Yarmouk University, Irbid 21110, Jordan"
...
2
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1answer
91 views
Different kinds of Integral Equation Methods
I am relatively new to integral equations for solving time-harmonic EM scattering problems. I have read a decent number of papers on the subject, and it seems that for formulations that can support 3D ...
4
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1answer
136 views
Defining electric current source excitations for surface integral equation formulations
In a finite difference (FD) based electromagnetic formulation based on a Yee cell grid, one can define electric current source excitations ($J$) on the $E$ field grid points. At a distance, the fields ...
