NUMERICS

作品数：15被引量：11H指数：2
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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. 
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 
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 
NUMERICAL SOLUTION OF THE SCATTERING PROBLEM FOR ACOUSTIC WAVES BY A TWO-SIDED CRACK IN 2-DIMENSIONAL SPACE被引量：1
《Journal of Computational Mathematics》2011年第2期141-166,共26页Jijun Liu P.A. Krutitskii M. Sini 
The authors would like to thank the referees for their valuable comments and suggestions which lead to an improved version of this paper. The work of the first author is supported by NSFC（No.10771033）. The first and second authors thank RICAM （Austrian Academy of Sciences） for the hospitality during the special semester on computational biology in 2007 in Linz. The third author is supported by the Austrian science foundation FWF via the project SFB F013/1308. The authors also want to thank Prof. Valentina Kolybasova and H.F.Zhao for their contributions in constructing Example 3.
The wave scattering problem by a crack F in R2 with impedance type boundary is considered. This problem models the diffraction of waves by thin two-sided cylindrical screens. A numerical method for solving the problem...
关键词：Wave scattering Impedance boundary Integral equations Singularity analysis Numerics. 
A NEW APPROACH AND ERROR ANALYSIS FOR RECONSTRUCTING THE SCATTERED WAVE BY THE POINT SOURCE METHOD被引量：2
《Journal of Computational Mathematics》2007年第2期113-130,共18页Jijun Liu Gen Nakamura Roland Potthast 
Supported NSFC(No.10371018).
Consider an inverse scattering problem by an obstacle D belong to R^2 with impedance boundary. We investigate the reconstruction of the scattered field u^s from its far field pattern u^∞ using the point source method...
关键词：Inverse scattering REGULARIZATION Error estimate NUMERICS 
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