Results 281 to 290 of about 2,924,633 (320)
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Hierarchical Nonlinear Approximation for Experimental Design and Statistical Data Fitting
SIAM Journal on Scientific Computing, 2007This paper proposes a hierarchical nonlinear approximation scheme for scalar-valued multivariate functions, where the main objective is to obtain an accurate approximation with using only very few function evaluations.
D. Busby, C. Farmer, A. Iske
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, 2008
We investigate mathematically a nonlinear approximation type approach recently introduced in Ammar et al. (J. Non-Newtonian Fluid Mech. 139:153–176, 2006) to solve high-dimensional partial differential equations. We show the link between the approach and
C. Bris, Tony Lelièvre, Yvon Maday
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We investigate mathematically a nonlinear approximation type approach recently introduced in Ammar et al. (J. Non-Newtonian Fluid Mech. 139:153–176, 2006) to solve high-dimensional partial differential equations. We show the link between the approach and
C. Bris, Tony Lelièvre, Yvon Maday
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On the importance of combining wavelet-based nonlinear approximation with coding strategies
IEEE Transactions on Information Theory, 2002This paper provides a mathematical analysis of transform compression in its relationship to linear and nonlinear approximation theory. Contrasting linear and nonlinear approximation spaces, we show that there are interesting classes of functions/random ...
A. Cohen +3 more
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The Mean Green's Function: A Nonlinear Approximation
, 1971In this paper, we examine the behavior of the coherent Green's function in a randomly fluctuating, unbounded, and statistically homogeneous medium. The starting point of the analysis is a ‘nonlinear’ approximation of the Dyson equation which has been ...
S. Rosenbaum
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Nonlinear Approximation of Random Functions
SIAM Journal on Applied Mathematics, 1997Given an orthonormal basis and a certain class X of vectors in a Hilbert space H, consider the following nonlinear approximation process: approach a vector $x\in X$ by keeping only its N largest coordinates, and let N go to infinity.
A. Cohen, Jean-Pierre D'Ales
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Minimax nonlinear approximation by approximation on subsets
Communications of the ACM, 1972A possible algorithm for minimax approximation on an infinite set X consists in choosing a sequence of finite point sets { X k } which fill out X and taking a limit of minimax approximations on X
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Nonlinear approximation method in Lagrangian relaxation-based algorithms for hydrothermal scheduling
, 1995When the Lagrangian relaxation technique is used to solve hydrothermal scheduling problems, many subproblems have linear stage-wise cost functions. A well recognized difficulty is that the solutions to these subproblems may oscillate between maximum and ...
X. Guan, P. Luh, Lan Zhang
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Nonlinear Operator Approximation [PDF]
, 1976 This paper is concerned with convergence theorems and error bounds for approximate solutions of nonlinear problems, with particular applications to Urysohn integral equations. It is an abbreviated version of a more extensive projected sequel by P.M. Anselone, J. Davis and P.M. Prenter.
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Approximations in nonlinear viscoelasticity
International Journal of Engineering Science, 1971Abstract The limiting process of passing from a compressible solid to an imcompressible one is considered. By the analysis of successive transformations, strain tensors with explicit dilatational components of deformations are derived. Corresponding constitutive equations in multiple integral form with explicit volumedependent terms are given.
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A Nonlinear Approximation for the Pressure Behavior of Heterogeneous Reservoirs
, 1993Recent years have seen extensive use of analytical techniques to study pressure behavior in layered, laterally, and radially composite systems.
F. Kuchuk +2 more
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