云南高校图书馆联盟文献共享服务平台- APPROXIMATIONS

检索规则说明：AND代表“并且”；OR代表“或者”；NOT代表“不包含”；(注意必须大写,运算符两边需空一格)

检索范例：范例一： (K=图书馆学 OR K=情报学) AND A=范并思　　　　范例二：J=计算机应用与软件 AND (U=C++ OR U=Basic) NOT M=Visual

全部期刊核心期刊 EI来源期刊 SCI来源期刊 CA来源期刊 CSCD来源期刊 CSSCI来源期刊

WONG-ZAKAI APPROXIMATIONS FOR STOCHASTIC VOLTERRA EQUATIONS: 《Journal of Computational Mathematics》2024年第6期1526-1553,共28页Jie Xu Mingbo Zhang; support provided by the Key Scientific Research Project Plans of Henan Province Advanced Universities(No.24A110006);the NSFs of China(Grant Nos.11971154,12361030);by the Science and Technology Foundation of Jiangxi Education Department(Grant No.GJJ190265)。; In this paper,we shall prove a Wong-Zakai approximation for stochastic Volterra equations under appropriate assumptions.We may apply it to a class of stochastic differential equations with the kernel of fractional Bro...; 关键词：Stochastic Volterra equations Wong-Zakai approximations Fractional Brownian motion Subfractional Brownian motion Quadratic mean convergence

GENERAL FULL IMPLICIT STRONG TAYLOR APPROXIMATIONS FOR STIFF STOCHASTIC DIFFERENTIAL EQUATIONS: 《Journal of Computational Mathematics》2022年第4期541-569,共29页Kai Liu Guiding Gu; supported by the Fundamental Research Funds for the Central Universities of China,and the second author is supported by the National Natural Fund Projects of China(Nos.11771100,12071332).; In this paper,we present the backward stochastic Taylor expansions for a Ito process,including backward Ito-Taylor expansions and backward Stratonovich-Taylor expansions.We construct the general full implicit strong T...; 关键词：Stiff stochastic differential equations APPROXIMATIONS Backward Stochastic Taylor expansions Full implicit Taylor methods

A MIXED VIRTUAL ELEMENT METHOD FOR THE BOUSSINESQ PROBLEM ON POLYGONAL MESHES被引量：1: 《Journal of Computational Mathematics》2021年第3期392-427,共36页Gabriel N.Gatica Mauricio Munar Filander A.Sequeira; supported by CONICYT-Chile through the project AFB170001 of the PIA Program:Concurso Apoyo a Centros Cientificos y Tecnologicos de Excelencia con Financiamiento Basal,and the Becas-CONICYT Programme for foreign students;by Centro de Investigacion en Ingenieria Matematica(CI^(2)MA),Universidad de Con-cepcion;by Uniyersidad Nacional,Costa Ricea,through the prejeet 0103-18.; In this work we introduce and analyze a mixed virtual element method(mixed-VEM)for the two-dimensional stationary Boussinesq problem.The continuous formulation is based on the introduction of a pseudostress tensor dep...; 关键词：Boussinesq problem Pseudostress-based formulation Augmented formulation Mixed virtual element method.High-order approximations

APPROXIMATIONS OF HYPERSINGULAR INTEGRALS FOR NEGATIVE FRACTIONAL EXPONENT被引量：1: 《Journal of Computational Mathematics》2018年第5期627-643,共17页Chaolang Hu Tao Lu; This work was supported by National Natural Science Foundation of China （Grant NO. 91430105 and Grant NO. 11771312）.; This article presents approximations of the hypersingular integrals fa^b g（x）（x- t）^adx and fa^b g（x）｜x- t｜dx with arbitrary singular point t C （a, b） and negative fraction number 〈 -1. These general expan...; 关键词：Hypersingular integral Negative fractional exponent Mid-rectangular quadrature formula Extrapolation.

THE REDUCED BASIS TECHNIQUE AS A COARSE SOLVER FOR PARAREAL IN TIME SIMULATIONS: 《Journal of Computational Mathematics》2010年第5期676-692,共17页Liping He; In this paper, we extend the reduced basis methods for parameter dependent problems to the parareal in time algorithm introduced by Lions et al. [12] and solve a nonlinear evolutionary parabolic partial differential e...; 关键词：Finite element and spectral element approximations Multi-meshes and multi-degrees techniques Reduced basis technique Semi-implicit RungeoKutta scheme Offline-online procedure Parareal in time algorithm.

ERROR REDUCTION IN ADAPTIVE FINITE ELEMENT APPROXIMATIONS OF ELLIPTIC OBSTACLE PROBLEMS: 《Journal of Computational Mathematics》2009年第2期148-169,共22页Dietrich Braess Carsten Carstensen Ronald H.W.Hoppe; supported by the German Research Association (DFG) within the DFG Research Center MATHEON "Mathematics for Key Technologies" Project C13.;support by the NSF under Grant No.DMS-0511611 and Grant No.DMS-0707602; We consider an adaptive finite element method （AFEM） for obstacle problems associated with linear second order elliptic boundary value problems and prove a reduction in the energy norm of the discretization error wh...; 关键词：Adaptive finite element methods Elliptic obstacle problems Convergence analysis

A MONOTONE DOMAIN DECOMPOSITION ALGORITHM FOR SOLVING WEIGHTED AVERAGE APPROXIMATIONS TO NONLINEAR SINGULARLY PERTURBED PARABOLIC PROBLEMS: 《Journal of Computational Mathematics》2008年第1期76-97,共22页Igor Boglaev Matthew Hardy; This paper presents and analyzes a monotone domain decomposition algorithm for solving nonlinear singularly perturbed reaction-diffusion problems of parabolic type. To solve the nonlinear weighted average finite diffe...; 关键词：Parabolic reaction-diffusion problem Boundary layers O-method Monotone domain decomposition algorithm Uniform convergence

MULTISTEP FINITE VOLUME APPROXIMATIONS TO THE TRANSIENT BEHAVIOR OF A SEMICONDUCTOR DEVICE ON GENERAL 2D OR 3D MESHES: 《Journal of Computational Mathematics》2007年第4期485-496,共12页Min Yang; The research is partially supported by the National Natural Science Foundation of China(No. 10271066); In this paper, we consider a hydrodynamic model of the semiconductor device. The approximate solutions are obtained by a mixed finite volume method for the potential equation and multistep upwind finite volume methods...; 关键词：Semiconductor device Unstructured meshes Finite volume Multistep method Error estimates.

ASYMPTOTIC BEHAVIOR OF THE TE AND TM APPROXIMATIONS TO SECOND HARMONIC GENERATION: 《Journal of Computational Mathematics》2007年第1期49-66,共18页Na■ma A■ssa; We consider a Second Harmonic Generation （SHG） problem of an optical signal wave with an optical pump in a medium represented by a smooth bounded domain Ω→∩ IR^d which is assumed to contain a heterogeneous mater...; 关键词：Second harmonic generation TE Approximation TM Approximation.

A UNIFIED A POSTERIORI ERROR ANALYSIS FOR DISCONTINUOUS GALERKIN APPROXIMATIONS OF REACTIVE TRANSPORT EQUATIONS被引量：9: 《Journal of Computational Mathematics》2006年第3期425-434,共10页Ji-ming Yang Yan-ping Chen; This work is supported by Program for New Century Excellent Talents in University of China State Education Ministry NCET-04-0776, National Science Foundation of China, the National Basic Research Program under the Grant 2005CB321703, and the key project of China State Education Ministry and Hunan Education Commission.; Four primal discontinuous Galerkin methods are applied to solve reactive transport problems, namely, Oden-BabuSka-Baumann DG （OBB-DG）, non-symmetric interior penalty Galerkin （NIPG）, symmetric interior penalty Gal...; 关键词：A posteriori error estimates Duality techniques Discontinuous Galerkin methods

APPROXIMATIONS