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Fe‐solutions are integral solutions

Communications in Applied Numerical Methods, 1987
In a recent paper [the author and \textit{R. Zotemantel}, Int. J. Numer. Methods Eng. 23, 2049-2069 (1986; Zbl 0596.73068)] we claimed that the higher accuracy of boundary element solutions (be-solutions) can be attributed to the fact that be-solutions are based on influence functions. This explanation is misleading because finite element solutions (fe-
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Variational Solution of Integral Equations

IEEE Transactions on Microwave Theory and Techniques, 1974
A variational solution of the Fredholm integral equation of the first kind resulting from Laplace's equation with Dirichlet boundary conditions is discussed. Positive-definiteness of the integral operator is used to guarantee convergence. The square parallel plate capacitor is given as an example with several different types of trial functions. Special
McDonald, Bruce H.   +2 more
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Integrated Solutions

2003
Abstract Some of the world's leading companies are changing the strategic focus of their activities and following a similar path to success. Increasingly, firms compete by selling complex products and services as integrated solutions that address the needs of large business or government-owned customers.
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Building Integration Solutions

2006
Proceedings of the 2006 Architectural Engineering Conference, held in Omaha, Nebraska, March 29-April 1, 2006. Sponsored by the Architectural Engineering Institute of ASCE. This collection contains 70 papers that discuss the integration of engineered systems within buildings to efficiently ensure building safety, security, and comfort at a reasonable ...
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Integrable solutions of a functional-integral equation

1992
A theorem about the existence of solutions of the functional-integral equation (1) \(x(t)=f\left(t,\int^ 1_ 0k(t,s)g(s,x(s))ds\right)\), \(t\in[0,1]\), is proved. The technique used in the proof depends on an interesting conjunction of the notions of the measure of weak noncompactness and the Schauder fixed point principle. It is worth while to mention
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GEOMETRIC INTEGRATION BY SOLUTION INTERPOLATION

International Journal of Modern Physics C, 2009
Numerical schemes that are implemented by interpolation of exact solutions to a differential equation naturally preserve geometric properties of the differential equation. The solution interpolation method can be used for development of a new class of geometric integrators, which generally show better performances than standard method both ...
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Integral Solutions to Schlesinger Equations

Journal of Mathematical Sciences, 2015
The paper discusses the parameterized linear system of differential equations of Fuchsian class \[ \frac{dy}{dz}=\left(\sum_{i=1}^{n}\frac{{{B}_{i}}(a)}{z-{{a}_{i}}}\right)y,\tag{1} \] where \({{a}_{1}},\dots ,{{a}_{n}}\) are parameters, \({{a}_{i}}\neq {{a}_{j}}(i\neq j),\mathbf a=({{a}_{1}},\dots ,{{a}_{n}}),\mathbf B=({{B}_{1}}(a),\dots ,{{B}_{n}}(a)
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