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Algebraic Properties for Molecular Structure of Magnesium Iodide: 《Computer Modeling in Engineering & Sciences》2023年第5期1131-1146,共16页Ali N.A.Koam Ali Ahmad Muhammad Azeem Muhammad Kamran Siddiqui; As an inorganic chemical,magnesium iodide has a significant crystalline structure.It is a complex and multifunctional substance that has the potential to be used in a wide range of medical advancements.Molecular graph...; 关键词：Magnesium iodide M-polynomials algebraic properties of magnesium iodide algebraic formation of numerics of magnesium iodide

Integral Equation Method for Inverse Scattering Problem from the Far-Field Data被引量：1: 《Advances in Applied Mathematics and Mechanics》2021年第6期1558-1574,共17页Yuqing Hu; foundation of Jinling Institute of Technology(No.jit-b-201524);the Science Foundation of Jinling Institute of Technology(No.Jit-fhxm-201809).; Consider the inverse scattering problem in terms of Helmholtz equation.We study a simply connected domain with oblique derivative boundary condition.In the case of constant l,given a finite number of incident wave,the...; 关键词：Helmholtz equation oblique derivative problem nonlinear integral equation iterative solution numerics.

Numerical accuracy and convergence with EMC3-EIRENE: 《Plasma Science and Technology》2020年第5期5-15,共11页Kristel GHOOS Heinke FRERICHS Wouter DEKEYSER Giovanni SAMAEY Martine BAELMANS; sponsored by Flanders Innovation and Entrepreneurship(IWT.141064);a travel grant(V4.128.18N)from Research Foundation—Flanders(FWO);supported by the Research Foundation Flanders(FWO)under project grant G078316N;funded by the Research Foundation—Flanders(FWO);the Flemish Government—department EWI。; The iterative Monte Carlo(MC)code EMC3-EIRENE is frequently used for plasma edge simulations in 3 D applications.So far,a quantitative evaluation of the numerical quality of the code results remains an open issue.In t...; 关键词：CONVERGENCE Monte Carlo NUMERICS plasma edge EMC3-EIRENE

Convergence of the deep BSDE method for coupled FBSDEs被引量：2: 《Probability, Uncertainty and Quantitative Risk》2020年第1期102-134,共33页Jiequn Han Jihao Long; The recently proposed numerical algorithm,deep BSDE method,has shown remarkable performance in solving high-dimensional forward-backward stochastic differential equations(FBSDEs)and parabolic partial differential equa...; 关键词：Forward-backward SDE Weakly coupled condition Deep learning High dimension NUMERICS

On Fluorophore Imaging by Diffusion Equation Model:Decompositions and Optimizations: 《Acta Mathematicae Applicatae Sinica》2020年第1期203-222,共20页Li-yan WANG Ji-jun LIU; supported by National Science Foundation of China(Nos.11601079,11971104,11531005);the National Science Foundation of Jiangsu Province(BK20150592)。; Fluorescence imaging is a target-specific molecular imaging technology using absorption coefficient of fluorophore.For this imaging model governed by an inverse problem for the coupled diffusion system,which describes...; 关键词：FLUORESCENCE IMAGING diffusion equation INVERSE problem decomposition optimization NUMERICS

An Analytical Solution to Neumann-Type Mixed Boundary Poiseuille Microfluidic Flow in Rectangular Channel Cross-Sections (Slip/No-Slip) including a Numerical Technique to Derive It: 《Journal of Biomedical Science and Engineering》2017年第5期205-218,共14页Christiane Richter Frederik Kotz N. Keller Tobias M. Nargang Kai Sachsenheimer Dorothea Helmer Bastian E. Rapp; In most microfluidic applications, pressure-driven Poiseuille flow in a contained cross-section with no-slip boundary conditions is the underlying fluid-mechanical model. Solutions for this problem exist for many know...; 关键词：Microfluidics NUMERICS Navier-Stokes Equation SLIP CONDITION NO-SLIP CONDITION

Breather Dynamics of the Sine-Gordon Equation被引量：1: 《Communications in Theoretical Physics》2013年第6期664-670,共7页Stephen Johnson Anjan Biswas; This paper studies the adiabatic dynamics of the breather soliton of the sine-Gordon equation. The integrals of motion are found and then used in soliton perturbation theory to derive the differential equation governi...; 关键词：SOLITONS PHONONS conservation laws PERTURBATIONS NUMERICS

ON DECOMPOSITION METHOD FOR ACOUSTIC WAVE SCATTERING BY MULTIPLE OBSTACLES被引量：1: 《Acta Mathematica Scientia》2013年第1期1-22,共22页王海兵刘继军; supported by NSFC (11071039,11161130002);Natural Science Foundation of Jiangsu Province (BK2011584); Consider acoustic wave scattering by multiple obstacles with different sound properties on the boundary, which can be modeled by a mixed boundary value problem for the Helmholtz equation in frequency domain. Compared ...; 关键词：multiple obstacles scattering decomposition method Jacobi iteration con-vergence error estimate NUMERICS

SOLVING THE BACKWARD HEAT CONDUCTION PROBLEM BY DATA FITTING WITH MULTIPLE REGULARIZING PARAMETERS: 《Journal of Computational Mathematics》2012年第4期418-432,共15页Qun Chen Jijun Liu; Acknowledgments. This work is supported by NSFC （No.11071039） and Natural Science Foundation of Jiangsu Province （No.BK2011584）.; We propose a new reconstruction scheme for the backward heat conduction problem. By using the eigenfunction expansions, this ill-posed problem is solved by an optimization problem, which is essentially a regularizing ...; 关键词：Inverse problem Data fitting REGULARIZATION Convergence rate Numerics.

Micro-macro models for viscoelastic fluids:modelling,mathematics and numerics: 《Science China Mathematics》2012年第2期353-384,共32页LE BRIS Claude LELIVRE Tony; This paper is an introduction to the modelling of viscoelastic fluids,with an emphasis on micromacro(or multiscale) models.Some elements of mathematical and numerical analysis are provided.These notes closely follow t...; 关键词：VISCOELASTIC FLUIDS micro-macro models entropy METHODS MONTE Carlo METHODS

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