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| 1 | EXACT NONREFLECTING BOUNDARY CONDITIONS FOR AN ACOUSTIC PROBLEM IN THREE DIMENSIONS显示文摘In this paper,nonreflecting artificial boundary,conditions are considered for an acoustic problem in three dimensions.With the technique of Fourier dexompostition under the orthogonal basis of spherical harmonics,three kinds of equivalemt exact artificial boundary conditions are obtained on a spherical artificail boundary.A numerical test is presented to show the performance of the method. | Houde Han Chunxiong Zheng (Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China) | 2003 | Journal of Computational Mathematics2003，21，1： | 6 |
| 2 | A survey on artificial boundary method显示文摘The artifcial boundary method is one of the most popular and efective numerical methods for solving partial diferential equations on unbounded domains,with more than thirty years development.The artifcial boundary method has reached maturity in recent years.It has been applied to various problems in scientifc and engineering computations,and the theoretical issues such as the convergence and error estimates of the artifcial boundary method have been solved gradually.This paper reviews the development and discusses diferent forms of the artifcial boundary method. | HAN HouDe WU XiaoNan | 2013 | Science China Mathematics2013，56，12： | 3 |
| 3 | A TAILORED FINITE POINT METHOD FOR THE HELMHOLTZ EQUATION WITH HIGH WAVE NUMBERS IN HETEROGENEOUS MEDIUM显示文摘在这篇论文,我们在异构的媒介与高波浪数字为 Helmholtz 方程的数字模拟建议一个 tailored-finite-point 方法。我们的有限的点方法被定制到这个问题的一些特别性质,它允许我们很自然地与象准确答案的一样的行为获得近似答案。特别,当系数是片时明智的常数,我们能在每子域与仅仅一个点得到准确答案。我们的有限点的方法在 L2 标准关于波浪数字 k 有一致地会聚的率。 | Houde Han Zhongyi Huang | 2008 | Journal of Computational Mathematics2008，26，5： | 3 |
| 4 | A MIXED FINITE ELEMENT METHOD ON A STAGGERED MESH FOR NAVIER-STOKES EQUATIONS显示文摘在这篇论文,我们为速度和压力的二个部件在三个不同网孔上在被定义的稳定的州的海军司烧方程的数字答案在一个蹒跚的网孔上介绍一个混合有限元素方法。这个方法是一致四边的 Q<sub>1</sub> x Q<sub>1</sub>-- 为海军司烧方程的 P<sub>0</sub> 元素近似。一阶的错误估计为速度和压力被获得。数字例子被举说明建议方法的有效性。 | Houde Han Ming Yan | 2008 | Journal of Computational Mathematics2008，26，6： | 2 |
| 5 | A Fast Numerical Method for the Black-Scholes Equation of American Options 显示文摘 | HAN Houde WU Xiaonan | 2004 | SIAM J Numer Anal2004，41，6： | 1 |
| 6 | A Fast Numerical Method for the Black-Scholes Equation of American Options 显示文摘 | HAN Houde WU Xiaonan | 2004 | SIAM J Numer Anal2004，41，6： | 1 |
| 7 | The numerical solutions of interface problems by infinite element method显示文摘 | Houde Han | 1982 | Numerische Mathematik1982，，1： | 1 |
| 8 | Absorbing boundary conditions for nonlinear Schrodinger equations显示文摘 | Xu Zhenli Han houde | 2006 | Physical Review E2006，74，37： | 1 |
| 9 | Differentiability properties of solutions of the equation -ε2△u+ru=f(x,y) in a square显示文摘 | HAN Houd KELLOGG R B | 1990 | SIAM J Math Anal1990，21，2： | 1 |
| 10 | An analysis of the finite-difference method for one-dimensional Klein–Gordon equation on unbounded domain显示文摘 | Houde Han Zhiwen Zhang | 2008 | Applied Numerical Mathematics2008，，7： | 1 |
| 11 | Exact and approximating boundary conditions for the parabolic problems on unbounded domains显示文摘 | Han Houde Huang Zhongyi | 2002 | Computers and Mathematics with Applications2002，44，： | 1 |
| 12 | Absorbing boundary conditions for nonlinear Schrodinger equations显示文摘 | Xu Zhenlin Han Houde | 2006 | Phys Rev E2006，74，03： | 1 |
| 13 | Adaptive absorbing boundary conditions for Schrodinger-type equations: Application to nonlinear and multi-dimensional problems显示文摘 | Xu Zhenlin Han Houde Wu Xiaonan | 2007 | J Comput Phys2007，225，： | 1 |
| 14 | Design on remote diagnosis system of refrigerated containers显示文摘 | Dan Cao Bingjie Zhao Houde Han | 2008 | Knowledge acqusition and modeling2008，，： | 1 |
| 15 | STABILIZED NUMERICAL APPROXIMATIONS OF THE BACKWARD PROBLEM OF A PARABOLIC EQUATION显示文摘In this paper, the backward problem of a parabolic equation is considered. Three new stability estimates are given. Based on the new stability estimates, a regularization method is proposed for which error estimates are available. The regularization method can be used for the numerical approximations of the original problem which will be shown by the numerical examples. | Han Houde(韩厚德) Hu Gang(胡刚) | 2001 | Numerical Mathematics A Journal of Chinese Universities(English Series)2001，10，2： | 0 |
| 16 | Numerical Soliton Solutions for a Discrete Sine-Gordon System显示文摘In this paper we use an analytical-numerical approach to find,in a systematic way,new 1-soliton solutions for a discrete sine-Gordon system in one spatial dimension.Since the spatial domain is unbounded,the numerical scheme employed to generate these soliton solutions is based on the artificial boundary method.A large selection of numerical examples provides much insight into the possible shapes of these new 1-solitons. | Houde Han Jiwei Zhang Hermann Brunner | 2009 | Communications in Computational Physics2009，6，9： | 0 |
| 17 | Two Uniform Tailored Finite Point Schemes for the Two Dimensional Discrete Ordinates Transport Equations with Boundary and Interface Layers显示文摘This paper presents two uniformly convergent numerical schemes for the two dimensional steady state discrete ordinates transport equation in the diffusive regime,which is valid up to the boundary and interface layers.A five-point nodecentered and a four-point cell-centered tailored finite point schemes(TFPS)are introduced.The schemes first approximate the scattering coefficients and sources by piecewise constant functions and then use special solutions to the constant coefficient equation as local basis functions to formulate a discrete linear system.Numerically,both methods can not only capture the diffusion limit,but also exhibit uniform convergence in the diffusive regime,even with boundary layers.Numerical results show that the five-point scheme has first-order accuracy and the four-point scheme has second-order accuracy,uniformly with respect to the mean free path.Therefore a relatively coarse grid can be used to capture the two dimensional boundary and interface layers. | Houde Han Min Tang Wenjun Ying | 2014 | Communications in Computational Physics2014，15，3： | 0 |
| 18 | An Energy Regularization Method for the Backward Diffusion Problem and its Applications to Image Deblurring显示文摘For the backward diffusion equation,a stable discrete energy regularization algorithm is proposed.Existence and uniqueness of the numerical solution are given.Moreover,the error between the solution of the given backward diffusion equation and the numerical solution via the regularization method can be estimated.Some numerical experiments illustrate the efficiency of the method,and its application in image deblurring. | Houde Han Ming Yan Chunlin Wu | 2008 | Communications in Computational Physics2008，4，6： | 0 |
| 19 | An Energy Regularization for Cauchy Problems of Laplace Equation in Annulus Domain显示文摘Detecting corrosion by electrical field can be modeled by a Cauchy problem of Laplace equation in annulus domain under the assumption that the thickness of the pipe is relatively small compared with the radius of the pipe.The interior surface of the pipe is inaccessible and the nondestructive detection is solely based on measurements from the outer layer.The Cauchy problem for an elliptic equation is a typical ill-posed problem whose solution does not depend continuously on the boundary data.In this work,we assume that the measurements are available on the whole outer boundary on an annulus domain.By imposing reasonable assumptions,the theoretical goal here is to derive the stabilities of the Cauchy solutions and an energy regularization method.Relationship between the proposed energy regularization method and the Tikhonov regularization with Morozov principle is also given.A novel numerical algorithm is proposed and numerical examples are given. | Houde Han Leevan Ling Tomoya Takeuchi | 2011 | Communications in Computational Physics2011，9，4： | 0 |
| 20 | Numerical Method for the Deterministic Kardar-Parisi-Zhang Equation in Unbounded Domains显示文摘We propose an artificial boundary method for solving the deterministic Kardar-Parisi-Zhang equation in one-,two-and three dimensional unbounded domains.The exact artificial boundary conditions are obtained on the artificial boundaries.Then the original problems are reduced to equivalent problems in bounded domains.A fi-nite difference method is applied to solve the reduced problems,and some numerical examples are provided to show the effectiveness of the method. | Zhenli Xu Houde Han Xiaonan Wu | 2006 | Communications in Computational Physics2006，1，3： | 0 |
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