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APPROXIMATION: 作品数：1231被引量：1216H指数：13; 导出分析报告; 相关领域：理学更多>>; 相关作者：曹飞龙吴嘎日迪谢庭藩沈燮昌周颂平更多>>; 相关机构：北京大学宁夏大学西北工业大学中国计量学院更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划国家教育部博士点基金中国博士后科学基金更多>>

On Single Distribution Lattice Boltzmann Schemes for the Approximation of Navier Stokes Equations: 《Communications in Computational Physics》2023年第8期613-671,共59页Francois Dubois Pierre Lallemand; In this contribution we study the formal ability of a multi-resolution-times lattice Boltzmann scheme to approximate isothermal and thermal compressible Navier Stokes equations with a single particle distribution.More...; 关键词：Partial differential equations asymptotic analysis

A Decreasing Upper Bound of the Energy for Time-Fractional Phase-Field Equations: 《Communications in Computational Physics》2023年第4期962-991,共30页Chaoyu Quan Tao Tang Boyi Wang Jiang Yang; partially supported by the National Natural Science Foundation of China/Hong Kong RGC Joint Research Scheme(NSFC/RGC 11961160718);the fund of the Guangdong Provincial Key Laboratory of Computational Science And Material Design(No.2019B030301001);supported in part by the Guangdong Provincial Key Laboratory of Interdisciplinary Research and Application for Data Science under UIC 2022B1212010006;supported by the National Science Foundation of China(NSFC)Grant No.12271240;supported by NSFC Grant 12271241;Guangdong Basic and Applied Basic Research Foundation(No.2023B1515020030);Shenzhen Science and Technology Program(Grant No.RCYX20210609104358076).; In this article,we study the energy dissipation property of time-fractional Allen–Cahn equation.On the continuous level,we propose an upper bound of energy that decreases with respect to time and coincides with the o...; 关键词：Time-fractional Allen-Cahn equation energy dissipation L1 approximation L2 approximation

A New Function Space from Barron Class and Application to Neural Network Approximation: 《Communications in Computational Physics》2022年第10期1361-1400,共40页Yan Meng Pingbing Ming; supported by the National Natural Science Foundation of China under the grant 11971058;supported by the National Natural Science Foundation of China under the grant 11971467.; We introduce a new function space,dubbed as the Barron spectrum space,which arises from the target function space for the neural network approximation.We give a Bernstein type sufficient condition for functions in thi...; 关键词：Fourier transform Besov space Sobolev space radial function neural network

The Hyperbolic Schrödinger Equation and the Quantum Lattice Boltzmann Approximation: 《Communications in Computational Physics》2022年第5期1341-1361,共21页Renato Spigler; The quantum lattice Boltzmann(qlB)algorithm solves the 1D Dirac equations and has been used to solve approximately the classical(i.e.,non-relativistic)Schrödinger equation.We point out that the qlB method actually app...; 关键词：Schrödinger equation hyperbolic Schrödinger equation Dirac equations quantum Lattice Boltzmann Klein-Gordon equation singular perturbations

Approximating the Gaussian as a Sum of Exponentials and its Applications to the Fast Gauss Transform被引量：1: 《Communications in Computational Physics》2022年第1期1-26,共26页Shidong Jiang Leslie Greengard; S.Jiang was supported in part by the United States National Science Foundation under grant DMS-1720405.; We develop efficient and accurate sum-of-exponential(SOE)approximations for the Gaussian using rational approximation of the exponential function on the negative real axis.Six digit accuracy can be obtained with eight...; 关键词：Fast Gauss transform sum-of-exponential approximation best rational approximation model reduction

Higher-Order Rytov Approximation for Large-Scale and Strong Perturbation Media被引量：1: 《Communications in Computational Physics》2020年第6期98-110,共13页Bo Feng Ru-Shan Wu Huazhong Wang; supported by National Natural Science Foundation of China(41604091,41704111,41774126);the great and special project(2016ZX05024-001,2016ZX05006-002).; In the field of geophysics,although the first-order Rytov approximation is widely used,the higher-order approximation is seldom discussed.From both theo-retical analysis and numerical tests,the accumulated phase error...; 关键词：Rytov approximation higher-order approximation large-scale strong perturbation forward scattering equivalent scattering source

Parametric POD-Galerkin Model Order Reduction for Unsteady-State Heat Transfer Problems被引量：1: 《Communications in Computational Physics》2020年第1期1-32,共32页Sokratia Georgaka Giovanni Stabile Gianluigi Rozza Michael J.Bluck; A parametric reduced order model based on proper orthogonal decomposition with Galerkin projection has been developed and applied for the modeling of heat transport in T-junction pipes which are widely found in nuclea...; 关键词：Proper orthogonal decomposition finite volume approximation Poisson equation for pressure inf-sup approximation supremizer velocity space enrichment Navier-Stokes equations

Approximation of the Mean Escape Time for a Tilted Periodic Potential: 《Communications in Computational Physics》2019年第1期1-40,共40页Tamra Heberling Lisa Davis Tomas Gedeon; We present a formula approximating the mean escape time(MST)of a particle from a tilted multi-periodic potential well.The potential function consists of a weighted sum of a finite number of component functions,each of...; 关键词：Brownian Ratchet multi-periodic potential tilted periodic potential Fokker-Plank equation

Efficient Numerical Computation of Time-Fractional Nonlinear Schrodinger Equations in Unbounded Domain被引量：1: 《Communications in Computational Physics》2019年第1期218-243,共26页Jiwei Zhang Dongfang Li Xavier Antoine; supported by the NSFC under grants 11771035,91430216,U1530401;supported by the NSFC under grants Nos.11571128,11771162;support of the French ANR grant BOND(ANR-13-BS01-0009-01)and the LIASFMA(funding from the University of Lorraine).; The aim of this paper is to derive a stable and efficient scheme for solving the one-dimensional time-fractional nonlinear Schrodinger equation set in an unbounded domain.We first derive absorbing boundary conditions ...; 关键词：Time-fractional nonlinear Schrodinger equation absorbing boundary condition sta-bility analysis convergence analysis sum-of-exponentials approximation

Dispersive Shallow Water Wave Modelling.Part I:Model Derivation on a Globally Flat Space: 《Communications in Computational Physics》2018年第1期1-29,共29页Gayaz Khakimzyanov Denys Dutykh Zinaida Fedotova Dimitrios Mitsotakis; This research was supported by RSCF project No 14-17-00219.D.Mitsotakis was supported by the Marsden Fund administered by the Royal Society of New Zealand.; In this paperwe reviewthe history and current state-of-the-art in modelling of long nonlinear dispersive waves.For the sake of conciseness of this review we omit the unidirectional models and focus especially on some ...; 关键词：Long wave approximation nonlinear dispersive waves shallow water equations solitary waves

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