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pro vyhledávání: '"97n40"'
Autor:
Lyons, Terry, McLeod, Andrew D.
In this paper we introduce the Higher Order Lipschitz Greedy Recombination Interpolation Method (HOLGRIM) for finding sparse approximations of Lip$(\gamma)$ functions, in the sense of Stein, given as a linear combination of a (large) number of simple
Externí odkaz:
http://arxiv.org/abs/2406.03232
In the simulation of differential-algebraic equations (DAEs), it is essential to employ numerical schemes that take into account the inherent structure and maintain explicit or hidden algebraic constraints without altering them. This paper focuses on
Externí odkaz:
http://arxiv.org/abs/2404.13531
The study further explores randomized QMC (RQMC), which maintains the QMC convergence rate and facilitates computational efficiency analysis. Emphasis is laid on integrating randomly shifted lattice rules, a distinct RQMC quadrature, with IS,a classi
Externí odkaz:
http://arxiv.org/abs/2309.11025
Autor:
Börgers, Christoph
It has been known for more than 300 years that the shape of an inelastic hanging cable, chain, or rope of uniform linear mass density is the graph of the hyperbolic cosine, up to scaling and shifting coordinates. But given two points at which the end
Externí odkaz:
http://arxiv.org/abs/2302.09054
In this chapter we examine reduced order techniques for geometrical parametrized heat exchange systems, Poisson, and flows based on Stokes, steady and unsteady incompressible Navier-Stokes and Cahn-Hilliard problems. The full order finite element met
Externí odkaz:
http://arxiv.org/abs/2301.12401
Autor:
Lyons, Terry, McLeod, Andrew D.
In this paper we develop the Greedy Recombination Interpolation Method (GRIM) for finding sparse approximations of functions initially given as linear combinations of some (large) number of simpler functions. In a similar spirit to the CoSaMP algorit
Externí odkaz:
http://arxiv.org/abs/2205.07495
Importance sampling (IS) is valuable in reducing the variance of Monte Carlo sampling for many areas, including finance, rare event simulation, and Bayesian inference. It is natural and obvious to combine quasi-Monte Carlo (QMC) methods with IS to ac
Externí odkaz:
http://arxiv.org/abs/2203.03220
Recovery of sparse vectors and low-rank matrices from a small number of linear measurements is well-known to be possible under various model assumptions on the measurements. The key requirement on the measurement matrices is typically the restricted
Externí odkaz:
http://arxiv.org/abs/2109.10454
The goal of this paper is to test solids4Foam, the fluid-structure interaction (FSI) toolbox developed for foam-extend (a branch of OpenFOAM), and assess its flexibility in handling more complex flows. For this purpose, we consider the interaction of
Externí odkaz:
http://arxiv.org/abs/2102.08011
Autor:
Mahatekar, Yogita, Scindia, Pallavi S.
In the present paper, we introduce a new family of $ \theta-$methods for solving delay differential equations. New methods are developed using a combination of decomposition technique viz. new iterative method proposed by Daftardar Gejji and Jafari a
Externí odkaz:
http://arxiv.org/abs/2102.06925