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A NEW PARALLEL KERNEL-INDEPENDENT FAST MULTIPOLE METHOD
Fast multipole methods adaptive algorithms massively parallel computing boundary integral equations N-body problems viscous flows
2015/7/15
We present a new adaptive fast multipole algorithm and its parallel implementation. The algorithm is kernel-independent in the sense that the evaluation of pairwise interactions does not rely on any a...
Fast Algorithms for Boundary Integral Equations
Boundary integral equations Laplace equation Helmholtz equation fast algorithms fast multipole method hierarchical matrices wavelets multiscale methods multidirectional methods
2015/7/15
This article reviews several fast algorithms for boundary integral equations. After a brief introduction of the boundary integral equations for the Laplace and Helmholtz equations, we discuss in order...
A fast solver for the Stokes equations with distributed forces in complex geometries
Stokes equations Fast solvers Integral equations Double-layer potential Fast multipole methods Embedded domain methods Immersed interface methods Fictitious domain methods Cartesian grid methods Moving boundaries
2015/7/14
We present a new method for the solution of the Stokes equations. The main features of our method are: (1) it can be applied to arbitrary geometries in a black-box fashion; (2) it is second-order accu...
A kernel-independent adaptive fast multipole algorithm in two and three dimensions
Fast multipole methods Fast solvers Integral equations Single-layer potential Double-layer potential Particle methods N-body problems
2015/7/14
We present a new fast multipole method for particle simulations. The main feature of our algorithm is that it does not require the implementation of multipole expansions of the underlying kernel, and ...
成都工业学院高等数学课件第九章第一节 微积分运算实验。
成都工业学院高等数学课件第三章第二节 微积分基本公式。
关于Riemann积分理论的本质缺陷及以Lebesgue积分取代之的看法
Riemann积分 数学
2014/12/22
关于Riemann积分理论的本质缺陷及以Lebesgue积分取代之的看法。
呼伦贝尔学院数学科学学院解析几何课件第二章 轨迹与方程
呼伦贝尔学院数学科学学院 解析几何 课件 第二章 轨迹与方程
2014/7/4
呼伦贝尔学院数学科学学院解析几何课件第二章 轨迹与方程。
On the prescribing σ2 curvature equation on S 4
σk curvature prescribing curvature fully nonlinear curvature equation
2014/4/3
Prescribing σk curvature equations are fully nonlinear generalizations of the prescribing Gaussian or scalar curvature equations. For a given a positive function K to be prescribed on the 4-dimensiona...
ABSENCE OF ANOMALOUS DISSIPATION OF ENERGY IN FORCED TWO DIMENSIONAL FLUID EQUATIONS
ABSENCE OF ANOMALOUS DISSIPATION OF ENERGY FORCED TWO DIMENSIONAL FLUID EQUATIONS
2014/4/3
Anomalous dissipation of energy in three dimensional turbulence is one of the basic statements of physical theory [55]. It has been veried experimentally to a large degree [75], but not mathematicall...
北京大学数学学院数学分析课件第一学期第五章 不定积分。
深圳大学数学与计算科学学院数学系林壮鹏副教授
深圳大学数学与计算科学学院数学系 林壮鹏 副教授 积分方程
2012/8/13
林壮鹏,深圳大学数学与计算科学学院数学系副教授。自1987年以来一直从事非线性分析及抽象空间常微分方程(积分方程)的研究工作,先后在《数学学报》、《系统科学与数学》等国内重要期刊发表论文15篇,其中有8篇被CSCI和《美国数学评论》所检索(或评论)。先后主持并完成校内4个相关课题的研究工作。