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Hierarchical Interpolative Factorization for Elliptic Operators:Integral Equations
Hierarchical Interpolative Factorization Elliptic Operators Integral Equations
2015/7/14
This paper introduces the hierarchical interpolative factorization for integral equations (HIF-IE) associated with elliptic problems in two and three dimensions.This factorization takes the form of an...
Boundary integral operator for the fractional Laplace equation in a bounded Lipschitz domain
boundary integral operator layer potential fractional Laplacian bounded Lipschitz domain
2011/8/25
Abstract: We study the boundary integral operator induced from fractional Laplace equation in a bounded Lipschitz domain. As an application, we study the boundary value problem of a fractional Laplace...
The heat-balance integral method by a parabolic profile with unspecified exponent: Analysis and Benchmark Exercises
heat-balance integral method heat-conduction parabolic profile
2011/1/20
The heat-bal ance in te gral method of Good man has been thor oughly an a lyzed in the case of a par a bolic pro file with un spec i fied ex po nent de pend ing on the bound ary con di tion im posed. ...
Research Note on a Parabolic Heat-Balance Integral Method with Unspecified Exponent: An Entropy Generation Approach in Optimal Profile Determination
Research Note on a Parabolic Heat-Balance Integral Method Unspecified Exponent Entropy Generation Optimal Profile Determination
2011/1/20
The heat-bal ance in te gral method of Good man is stud ied with two sim ple 1-D heat con duc tion prob lems with pre scribed tem per a ture and flux bound ary con di tions.These clas si cal prob lems...
A general framework for deriving integral preserving numerical methods for PDEs
general framework deriving integral preserving numerical methods PDEs
2010/12/8
A general procedure for constructing conservative numerical integra-tors for time dependent partial di erential equations is presented. In particular, linearly implicit methods preserving a time avera...
Results on the Ratliff-Rush Closure and the Integral Closedness of Powers of Certain Monomial Curves
Monomial curves normal ideals Ratliff-Rush closure integral closure monomial ideals
2010/11/30
Starting from [1] we compute the Groebner basis for the defining ideal,P, of the monomial curves that correspond to arithmetic sequences, and then give an elegant description of the generators of powe...
On a plane section of an integral curve in positive characteristic
Integral curve plane section minimal curve positive characteristic
2010/12/9
If C P3 k is an integral curve and k an algebraically closed field of characteristic 0, it is known that the points of the general plane section C \H of C are in uniform position. From this it follo...
This paper deals with the existence,uniqueness,approximate solutions and errorsvaluation theorems concerning a class of nonlinear selfcontrolled systems with heredi-tary and polywave or polyvibrating ...
In this paper we consider continuous-time and discrete-time waveform relaxation methods for general nonlinear integral-differential-algebraic equations. For the continuous-time case we derive the conv...
The nonlinear singular perturbation problem is solved numerically on nonequidistant meshes which are dense in the boundary layers. The method presented is based on the numerical solution of integral e...
While the numerical solution of one-dimensional Volterra integral equations of the second kind with regular kernels is well understood, there exist no systematic studies of asymptotic error expansion ...
Extrapolation of Nystrom solution for two dimensional nonlinear Fredholm integral equations
2007/7/28
期刊信息
篇名
Extrapolation of Nystrom solution for two dimensional nonlinear Fredholm integral equations
语种
英文
撰写或编译
撰写
作者
Han Guoqiang,Wang Jiong
第一作者单位
华南理工大学
刊物名称
J. Comput. Appli. Math.
页面
2001，134，259...