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Bounds for Approximate Solutions of Fredholm Integral Equations Using Kernel Networks
Approximation of solutions of integral equations by networks with kernel units is investigated theoretically. There are derived upper bounds on speed of decrease of errors in approximation
IN - Informatika
- 2011 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
Accuracy of approximations of solutions to Fredholm equations by kernel methods
Approximate solutions to inhomogeneous Fredholm integral equations of the second kind by radial and kernel networks are investigated. Upper bounds are derived on errors in approximation o...
IN - Informatika
- 2012 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Fuzzy Modeling in Solving Volterra Integral Equation with Weakly Singular Kernel
We have proposed a new numerical method based on fuzzy modeling and F-transforms for finding approximate solutions to linear Volterra integral equations with weakly singular kernels. Its usefulness and e...
Applied mathematics
- 2023 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
Numerical solution of a linear fuzzy Volterra integral equation of the second kind with weakly singular kernels
In this paper, we consider a linear fuzzy Volterra integral equation of the second kind with a weakly singular kernel which may change sign in the domain of integration. We propose piecewise spline collocation meth...
Applied mathematics
- 2022 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Accuracy Estimates for Surrogate Solutions of Integral Equations by Neural Networks
Surrogate solutions of integral equations by neural networks are investigated theoretically. Upper bounds on speed of convergence of approximate solutions computable by neural networks wi...
IN - Informatika
- 2012 •
- D
Rok uplatnění
D - Stať ve sborníku
Estimates of solutions of Volterra Integral equations with singular kernels.
This paper is devoted to estimates of nonlinear Volterra integral equations with singular kernels.
BA - Obecná matematika
- 2007 •
- D
Rok uplatnění
D - Stať ve sborníku
Solving the BSE with an Integral Representation in Minkowski Space
Special method of solution of BSE in Minkowski space is presented. Perturbation theory integral representation is introduced for BSE and the applicability is discussed beyond the simplest kernel and constituent propagator <...
BE - Teoretická fyzika
- 2011 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Simulation of convergence of Nyström method with singularity subtraction in integral equation of the second kind
This paper deals with the numerical solution of a singular integral equation of the second kind with a special singular kernel function. The numerical solution in this paper is based on the Nystrom method....
BA - Obecná matematika
- 2015 •
- D
Rok uplatnění
D - Stať ve sborníku
Surrogate Modelling of Solutions of Integral Equations by Neural Networks
Surrogate modelling of solutions of integral equations by neural networks is investigated theoretically. Estimates of speed of convergence of suboptimal surrogate solutions to solutions described ...
IN - Informatika
- 2012 •
- D
Rok uplatnění
D - Stať ve sborníku
Accuracy of surrogate solutions of integral equations by feedforward networks
Surrogate solutions of Fredholm integral equations by feedforward neural networks are investigated theoretically. Convergence of surrogate solutions computable by networks with increasing numbers ...
IN - Informatika
- 2014 •
- C •
- Link
Rok uplatnění
C - Kapitola v odborné knize
Výsledek na webu
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