搜索结果: 76-90 共查到“知识库 数学 method”相关记录402条 . 查询时间(0.187 秒)
Bounds on the volume fractions of two materials in a three dimensional body from boundary measurements by the translation method
inverse problems size estimation electrical impedance tomography
2012/6/19
Using the translation method of Tartar, Murat, Lurie, and Cherkaev bounds are derived on the volume occupied by an inclusion in a three-dimensional conducting body. They assume electrical impedance to...
Non-consistent approximations of self-adjoint eigenproblems: Application to the supercell method
Non-consistent approximations self-adjoint eigenproblems Functional Analysis
2012/5/24
In this article, we introduce a general theoretical framework to analyze non-consistent approximations of the discrete eigenmodes of a self-adjoint operator. We focus in particular on the discrete eig...
Restricted normal cones and the method of alternating projections
Constraint qualification convex set Friedrichs angle linear convergence method of alternating projections
2012/5/24
The method of alternating projections (MAP) is a common method for solving feasibility problems. While employed traditionally to subspaces or to convex sets, little was known about the behavior of the...
A posteriori error analysis for a continuous space-time finite element method for a hyperbolic integro-differential equation
integro-differential equation continuous Galerkin finite element method convolution kernel stability a posteriori estimate
2012/5/9
An integro-differential equation of hyperbolic type, with mixed boundary conditions, is considered. A continuous space-time finite element method of degree one is formulated. A posteriori error repres...
Regularization of Linear Ill-posed Problems by the Augmented Lagrangian Method and Variational Inequalities
Regularization of Linear Ill-posed Problems Augmented Lagrangian Method Variational Inequalities Numerical Analysis
2012/4/23
We study the application of the Augmented Lagrangian Method to the solution of linear ill-posed problems. Previously, linear convergence rates with respect to the Bregman distance have been derived un...
Two-subspace Projection Method for Coherent Overdetermined Systems (Technical Report)
Two-subspace Projection Method Coherent Overdetermined Systems Technical Report Numerical Analysis
2012/4/17
In this technical report we present a Projection onto Convex Sets (POCS) type algorithm for solving systems of linear equations. POCS methods have found many applications ranging from computer tomogra...
Two-subspace Projection Method for Coherent Overdetermined Systems
Two-subspace Projection Method Coherent Overdetermined Systems Numerical Analysis Probability
2012/4/17
We present a Projection onto Convex Sets (POCS) type algorithm for solving systems of linear equations. POCS methods have found many applications ranging from computer tomography to digital signal and...
Thermal modelling for endocardiac radiofrequency ablation: comparison of hyperbolic bioheat equation and Pennes bioheat equation with finite element method
Finite Element Method hyperbolic heat equation Pennes heat equation radiofrequency ablation theoretical model
2012/4/17
The objectives of this study are to model the endocardiac radiofrequency (RF) ablation procedure and to employ the Hyperbolic Bioheat Equation (HBE), which takes the thermal wave behaviour into accoun...
A cooperative conjugate gradient method for linear systems permitting multithread implementation of low complexity
cooperative conjugate gradient method linear systems multithread implementation low complexity Numerical Analysis
2012/4/17
This paper proposes a generalization of the conjugate gradient (CG) method used to solve the equation $Ax=b$ for a symmetric positive definite matrix $A$ of large size $n$. The generalization consists...
A Gas Dynamics Method Based on the Spectral Deferred Corrections (SDC) Time Integration Technique and the Piecewise Parabolic Method (PPM)
Gas Dynamics Conservation Laws Spectral Deferred Corrections (SDC) Methods Piecewise Parabolic Method (PPM) Godunov Methods High Resolution Schemes
2013/1/30
We present a computational gas dynamics method based on the Spectral Deferred Corrections (SDC) time integration technique and the Piecewise Parabolic Method (PPM) finite volume method. The PPM framew...
An Efficient Direct Method to Solve the Three Dimensional Poisson’s Equation
Poisson’s Equation Finite Difference Method Tri-diagonal Matrix Hockney’s Method Thomas Algorithm
2013/1/30
In this work, the three dimensional Poisson’s equation in Cartesian coordinates with the Dirichlet’s boundary conditions in a cube is solved directly, by extending the method of Hockney. The Poisson e...
First Order Convergence Analysis for Sparse Grid Method in Stochastic Two-Stage Linear Optimization Problem
Convergence Analysis Stochastic Optimization Scenario Generation Convex Analysis Measure Theory
2013/1/30
Stochastic two-stage linear optimization is an important and widely used optimization model. Efficiency of numerical integration of the second stage value function is critical. However, the second sta...
An Upwind Finite Volume Element Method for Nonlinear Convection Diffusion Problem
Nonlinear Convection-Diffusion Tetrahedron Partition Error Estimates
2013/1/30
A class of upwind finite volume element method based on tetrahedron partition is put forward for a nonlinear convection diffusion problem. Some techniques, such as calculus of variations, commutating ...
Analytical Solution of Two Extended Model Equations for Shallow Water Waves by He’s Variational Iteration Method
He’s Variational Iteration Method Shallow Water Wave Equation
2013/1/30
In this paper, we consider two extended model equations for shallow water waves. We use He’s variational iteration method (VIM) to solve them. It is proved that this method is a very good tool for sha...
General Solution of Generalized (2+1)–Dimensional Kadomtsev-Petviashvili (KP) Equation by Using the –Expansion Method
(G,/G)-Expansion Method Generalized Kadomtsev-Petviashvili (KP) Equation Hyperbolic Function Solutions Trigonometric Function Solutions
2013/1/30
In this work, the (G,/G)- --expansion method is proposed for constructing more general exact solutions of the (2 + 1)--dimensional Kadomtsev-Petviashvili (KP) equation and its generalized forms. Our w...