Results 31 to 40 of about 635,086 (230)
Optimal nonlinear approximation
Manuscripta Mathematica, 1989 We introduce a definition of nonlinear n-widths and then determine the n-widths of the unit ball of the Sobolev spaceW inL q.
DeVore, R., Howard, R., Micchelli, C.
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Mathematics, 2022 Fractional Galilei invariant advection–diffusion (GIADE) equation, along with its more general version that is the GIADE equation with nonlinear source term, is discretized by coupling weighted and shifted Grünwald difference approximation formulae and ...
Farzaneh Safari +3 more
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Nonlinear least squares method
Communications, 1999 The paper deals with a comparison of linear and nonlinear least squares approximation. Its aim is to show that the well known transformations of nonlinear dependencies on linear dependencies do not always give exact results.
Jaromír Máca, Bohus Leitner
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Wavelet transform based nonlınear predıctıon of sıgnals [PDF]
Scientific Bulletin of the ''Petru Maior" University of Tîrgu Mureș, 2014 Estimating signals from time series is a common task in many domains of science and has been addressed for a long time by specialists. Predicting a signal from recorded time series remains however a very specific task, a great challenge.
Zoltan German-Sallo, Horatiu-Stefan Grif
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Higher order asymptotic expansions to the solutions for a nonlinear damped wave equation
, 2016 We study the Cauchy problem for a nonlinear damped wave equation. Under suitable assumptions for the nonlinearity and the initial data, we obtain the global solution which satisfies weighted $L^1$ and $L^\infty$ estimates.
Kawakami, Tatsuki, Takeda, Hiroshi
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Nonlinear tensor product approximation of functions [PDF]
, 2014 We are interested in approximation of a multivariate function $f(x_1,\dots,x_d)$ by linear combinations of products $u^1(x_1)\cdots u^d(x_d)$ of univariate functions $u^i(x_i)$, $i=1,\dots,d$.
Bazarkhanov, D., Temlyakov, V.
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Journal of Inequalities and Applications, 2016 In this paper, we investigate residual-based a posteriori error estimates for the hp version of the finite element approximation of nonlinear parabolic optimal control problems.
Zuliang Lu +3 more
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Journal of Approximation Theory, 1974 AbstractThe properties of best nonlinear approximations with respect to a generalized integral norm on an interval are studied. A necessary condition for an approximation to be locally best is obtained. The interpolatory properties of best approximations are related to the dimension of a Haar subspace in the tangent space. A sufficient condition for an
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Nonlinear Knowledge in Kernel Approximation [PDF]
IEEE Transactions on Neural Networks, 2007 Prior knowledge over arbitrary general sets is incorporated into nonlinear kernel approximation problems in the form of linear constraints in a linear program. The key tool in this incorporation is a theorem of the alternative for convex functions that converts nonlinear prior knowledge implications into linear inequalities without the need to ...
Olvi L. Mangasarian, Edward W. Wild
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The Effects of Padé Numerical Integration in Simulation of Conservative Chaotic Systems
Entropy, 2019 In this paper, we consider nonlinear integration techniques, based on direct Padé approximation of the differential equation solution, and their application to conservative chaotic initial value problems.
Denis Butusov +4 more
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