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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...
Sub-Supersolution Method for a Class of Higher Order Evolution Hemivariational
Evolution hemivariational inequality sub-solution super-solution extremal solution sub-supersolution method
2011/11/17
In this paper, we extend extremality results for the variational inequality to a higher order evolution hemivariational inequality. More precisely, we give an existence theorem of solution for the hig...
Testing the equality of several independent binomial proportions based on asymptotic and resampling method
Monte Carlo method Bootstrap method Likelihood test Score test Wald test Binomial distribution
2011/11/7
This paper discusses equality test of proportions in k (k≥2) independent binomial distributions on the basis of likelihood-ratio, score and Wald-type statistics via asymptotic, MaxT, MinP and Step-dow...
A New Method of Data Compression in Multisensor Estimation Fusion
Parameter estimation data compression Bayesian decision
2011/11/7
Consider the decentralized estimation of an unknown parameter by bandwidth constrained sensor network with a fusion center. Local sensors make observations which are linearly scaled versions of these ...
CK Method And Auto-Backlund Transformation To Find New Exact Solutions Of The (1+1)-Dimensional Variable-Coefficient KdV Equation
CK Method auto-B¨acklund transformation soliton-type solutions
2011/10/18
In this letter, based on the computerized symbolic computation, we extend the Clarkson and Kruskal (CK) method to search for new soliton-type solutions and auto-B¨acklund transformation of partial dif...
Tikhonov regularization method for a Cauchy problem for the Helmholtz equation in multiple dimensions-----
inverse problems Helmholtz equation Tikhonov regularization error estimate
2011/10/18
This paper deals with a Cauchy problem for the Helmholtz equa- tion in multiple dimensions.We want to obtain the solution u on the boundary z = 0 from the given function g ontheside z = 1. This proble...
Operator Splitting Method for Coupled Problems:Transport and Maxwell Equations
Operator Splitting Method Initial Value Problems Iterative Solver Method Stability Analysis Beam Propagation Methods Transport and Maxwell Equations
2013/1/30
In this article a new approach is considered for implementing operator splitting methods for transport problems, influenced by electric fields. Our motivation came to model PE-CVD (plasma-enhanced che...
Quasi-Reversibility Regularization Method for Solving a Backward Heat Conduction Problem
Back Heat Conduction Ill-Posed Problem Quasi-Reversibility Regularization
2013/1/30
Non-standard backward heat conduction problem is ill-posed in the sense that the solution(if it exists) does not depend continuously on the data. In this paper, we propose a regularization strategy-qu...
A new two-dimension sieve method and the proof of the Goldbach's conjecture
sieve Goldbach conjecture
2011/9/21
This paper advanced a new two-dimension sieve method of using some deleted lines to sum formulae with some odd composites in formula columns for every even number >6, and proved a stronger Goldbach\&#...
FORTRAN source program calculating the Goldbach-Xu’s numbers with recursive method
Goldbach’s conjecture Goldbach-Xu’s number prime distribution of primes
2011/9/19
In this paper we have presented two source programs with FORTRAN 90 language to calculate the distribution of prime numbers in the sequence of odd numbers and the Goldbach-Xu’s numbers for every even ...