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C++ source program calculating the Goldbach-Xu’s numbers with recursive method
Goldbach’s conjecture Goldbach-Xu’s number prime distribution of primes source program
2011/9/19
In this paper we have presented two source programs with C++ to calculate the distribution of prime numbers in the sequence of odd numbers and the Goldbach-Xu’s numbers for every even number respectiv...
A FORTRAN source program for calculating the Polignac-Xu’s numbers with the recursive method
Problem of Goldbach’s conjecture type Polignac-Xu’s number prime distribution of primes
2011/9/19
In the field of number theory, in addition to Goldbach’s conjecture, there is another similar problem: Is there an even number >2 which is not the difference of two primes? An American mathematics T. ...
The FD-method for solving Sturm-Liouville problems with special singular differential operator
FD-method Sturm-Liouville problems singular differential operator Numerical Analysis
2011/9/23
Abstract: In the paper we describe a superexponentially convergent numerical-analytical method for solving the eigenvalue problem for the some class of singular differential operators with boundary co...
Analysis of a Fast Fourier Transform Based Method for Modeling of Heterogeneous Materials
Homogenization Fast Fourier Transform Conjugate Gradients
2011/9/20
Abstract: The focus of this paper is on the analysis of the Conjugate Gradient method applied to a non-symmetric system of linear equations, arising from a Fast Fourier Transform-based homogenization ...
An analysis of the practical DPG method
discontinuous Galerkin Petrov-Galerkin DPG method ultraweak formulation
2011/9/16
Abstract: In this work we give a complete error analysis of the Discontinuous Petrov Galerkin (DPG) method, accounting for all the approximations made in its practical implementation. Specifically, we...
Natural frequencies of cracked functionally graded material plates by the extended finite element method
Mindlin plate theory vibration partition of unity methods extended finite element method
2011/9/15
Abstract: In this paper, the linear free flexural vibration of cracked functionally graded material plates is studied using the extended finite element method. A 4-noded quadrilateral plate bending el...
Discontinuous Galerkin Method for Total Variation Minimization on one-dimensional Inpainting Problem
finite element method discontinuous Galerkin method total variation minimization inpainting
2011/9/15
Abstract: This paper is concerned with the numerical minimization of energy functionals in $BV(\Omega)$ (the space of bounded variation functions) involving total variation for gray-scale 1-dimensiona...
Convergence of the Gauss-Newton method for convex composite optimization under a majorant condition
the Gauss-Newton method convex composite optimization Optimization and Control
2011/9/15
Abstract: Under the hypothesis that an initial point is a quasi-regular point, we use a majorant condition to present a new semi-local convergence analysis of an extension of the Gauss-Newton method f...
On the approximation in the smoothed finite element method (SFEM)
Smoothed Finite ElementMethod boundary integration Wachspress Interpolants strain smoothing rational basis finite elements
2011/10/9
Abstract: This letter aims at resolving the issues raised in the recent short communication [1] and answered by [2] by proposing a systematic approximation scheme based on non-mapped shape functions, ...
An O(N) Method for Rapidly Computing Periodic Potentials Using Accelerated Cartesian Expansions
Accelerated Cartesian Expansion (ACE) Fast Multipole Methods Periodic Systems
2011/10/8
Abstract: The evaluation of long-range potentials in periodic, many-body systems arises as a necessary step in the numerical modeling of a multitude of interesting physical problems. Direct evaluation...
A Block Solver for the Exponentially Fitted IIPG-0 method
the Exponentially Fitted IIPG-0 method Numerical Analysis
2011/9/6
Abstract: We consider an exponentially fitted discontinuous Galerkin method and propose a robust block solver for the resulting linear systems.
A global Monte-Carlo method for fitting parameters of differential equation models
global Monte-Carlo method fitting parameters Quantitative Methods
2011/10/8
Abstract: Finding the parameter values of differential equation models from data is an important part of the modelling process. Large models and sparse data often make the parameters very difficult to...
The enclosure method for inverse obstacle scattering problems with dynamical data over a finite time interval II. Obstacles with a dissipative boundary or finite refractive index and back-scattering data
enclosure method inverse obstacle scattering problem inverse backscattering obstacle wave equation dissipative boundary condition
2011/9/5
Abstract: In this paper a wave is generated by an initial data whose support is localized at the outside of unknown obstacles and observed in a limited time on a known closed surface or the same posit...
Estimates on Neumann eigenfunctions at the boundary, and the "Method of Particular Solutions" for computing them
Estimates Neumann eigenfunctions Spectral Theory Analysis of PDEs
2011/9/1
Abstract: We consider the "Method of particular solutions" for numerically computing eigenvalues and eigenfunctions of the Laplacian $\Delta$ on a smooth, bounded domain Omega in RR^n with either Diri...
Rigid abelian groups and the probabilistic method
random construction abelian groups with prescribed endomorphisms probabilistic method Group Theory
2011/9/5
Abstract: The construction of torsion-free abelian groups with prescribed endomorphism rings starting with Corner's seminal work is a well-studied subject in the theory of abelian groups. Usually thes...