We extend the classical empirical interpolation method [1] to a weighted empirical interpolation method in order to approximate nonlinear parametric functions with weighted parameters, e.g. random variables obeying various probability distributions. A priori convergence analysis is provided for the proposed method and the error bound by Kolmogorov N-width is improved from the recent work [13]. ...

Galway, Ireland Thermoresponsive ELP Particles for Improved Cell Expansion Mariana B Oliveira, Laura Martín,Wenlong Song, Matilde Alonso, J Carlos Rodríguez-Cabello, João F Mano, Corresponding Author: [email protected] 3B’s Research Group – Biomaterials, Biodegradables and Biomimetics, Department of Polymer Engineering, University of Minho, AvePark, 4806-909 Taipas, Guimarães, Portugal...

In this paper,the traditional G′/G-expansion method is improved and a generalized G′/G-expansion method is proposed to seek exact solutions of nonlinear evolution equations.And we choose Benjamin-Bona-Mahony equation,(2+1) dimensional generalized Zakharov-Kuznetsov equation and variant Bousinessq equations to illustrate the validity and advantages of the proposed method.It is shown that the pro...

in this work g'/g-expansion method has been employed to solve (2+1)-dimensional dispersive long wave equation. it is shown that g'/g-expansion method, with the help of symbolic computation, provides a very effective and powerful mathematical tool, for solving this equation.

in the present work‎, ‎a new stochastic algorithm is proposed to solve multiple dimensional fredholm integral equations of the second kind‎. ‎the solution of the‎ integral equation is described by the neumann series expansion‎. ‎each term of this expansion can be considered as an expectation which is approximated by a continuous markov chain monte carlo method‎. ‎an algorithm is proposed to sim...

Consider an irreducible reversible Markov chain on state space V , with |V | = n and invariant distribution π. Let 0 = λ1 ≤ λ2 ≤ · · ·λn ≤ 2 be the eigenvalues of its Laplacian operator. We give a simple spectral condition under which there exists a unit vector f ∈ L(V, π) with ‖f‖1 ≤ δ and 〈f, Lf〉 ≤ . (Using a standard Cheeger inequality, this implies the existence of a set S ⊆ V with measure ...