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Solving Fredholm integro–differential equations using reproducing kernel Hilbert space method
Applied Mathematics and Computation, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Omar Abu Arqub +2 more
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Journal of Optimization Theory and Applications, 2012
The authors, using the notion of the fractional derivative of Caputo, construct an approximate method to solve the integro-differential equation of fractional order of the special form \[ D^{\alpha}u(x)= F(x, u(x), Tu(x)),\qquad m ...
Samia Bushnaq +2 more
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The authors, using the notion of the fractional derivative of Caputo, construct an approximate method to solve the integro-differential equation of fractional order of the special form \[ D^{\alpha}u(x)= F(x, u(x), Tu(x)),\qquad m ...
Samia Bushnaq +2 more
exaly +3 more sources
Multiscale Approximation and Reproducing Kernel Hilbert Space Methods
SIAM Journal on Numerical Analysis, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Michael Griebel +2 more
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Journal of Integral Equations and Applications, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Qianru, Huang, Lei, Wang, Rui
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Qianru, Huang, Lei, Wang, Rui
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Solutions of Integral Equations by Reproducing Kernel Hilbert Space Method
2021The theory of reproducing kernels was considered for the first time at the beginning of the 20th century by Zaremba. Reproducing kernel theory has valuable implementations in numerical analysis, differential equations, probability and statistics.
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Reproducing kernel Hilbert space method for optimal interpolation of potential field data
IEEE Transactions on Image Processing, 1998The RKHS-based optimal image interpolation method, presented by Chen and de Figueiredo (1993), is applied to scattered potential field measurements. The RKHS which admits only interpolants consistent with Laplace's equation is defined and its kernel, derived.
Jonathan S. Maltz +2 more
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investigating nonlinear fractional systems: reproducing kernel Hilbert space method
Optical and Quantum Electronics, 2023Deanship of Scientific Research, Imam Mohammad Ibn Saud Islamic University (IMSIU), Saudi Arabia [221412044]
Attia, Nourhane +2 more
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On Solutions of Biological Models Using Reproducing Kernel Hilbert Space Method
2023Differential equations (DEs, for short) are becoming more and more indispensable for modeling real-life problems. Modeling and then analyzing these DEs help scientists to understand and make predictions about the system that they want to analyze. And this is possible only in one case when their solutions are available.
Attia, Nourhane, Akgül, Ali
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Reproducing Kernel Hilbert Space Methods to Reduce Pulse Compression Sidelobes
2007Since the development of pulse compression in the mid- 1950's the concept has become an indispensable feature of modern radar systems. A matched filter is used on reception to maximize the signal to noise ratio of the received signal. The actual waveforms that are transmitted are chosen to have an autocorrelation function with a narrow peak at zero ...
Jaco A. Jordaan +2 more
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2020 54th Asilomar Conference on Signals, Systems, and Computers, 2020
In supervised learning using kernel methods, we encounter a large-scale finite-sum minimization over a reproducing kernel Hilbert space (RKHS). Often times large-scale finite-sum problems can be solved using efficient variants of Newton’s method, where the Hessian is approximated via subsamples.
Ting-Jui Chang, Shahin Shahrampour
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In supervised learning using kernel methods, we encounter a large-scale finite-sum minimization over a reproducing kernel Hilbert space (RKHS). Often times large-scale finite-sum problems can be solved using efficient variants of Newton’s method, where the Hessian is approximated via subsamples.
Ting-Jui Chang, Shahin Shahrampour
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