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Hohenberg-Kohn Theorem for Coulomb Type Systems and Its Generalization
Coulomb system density functional theory electronic structure FundamentalTheorem of Algebra Hohenberg-Kohn theorem
2012/8/10
Density functional theory (DFT) has become a basic tool for the study of electronic
structure of matter, in which the Hohenberg-Kohn theorem plays a fundamental role in
the development of DFT. Unfor...
A Type of Multigrid Method for Eigenvalue Problem
Eigenvalue problem multigrid multi-level correction finiteelement method
2012/8/10
In this paper, a new type of iteration method is proposed to solve eigenvalue
problem by finite element method. With this new scheme, solving
eigenvalue problem is transformed to solving a series of...
Jacobi-type Gauss-Seidel Smoother with Error Compensation for Parallel Multigrid
parallel multigrid parallel Gauss-Seidel JGS JGSEC
2012/8/10
Smoother is the most important component of parallel multigrid methods, however,
the widely used Gauss-Seidel smoother is difficult to be parallelized. This paper
proposes a new parallel smoother, J...
New type of KP equation with self-consistent sources and its bilinear B鋍klund transformation
New type of KP equation self-consistent
2012/8/8
A new type of the KP equation with self-consistent sources (KPESCS)
痳st found by Melnikov ( Lett. Math. Phys. 7(1983) 129-136)is re-constructed
via source generation procedure. New feature of the ob...
Pade'-type rational and barycentric interpolation
Rational interpolation Pade'-type interpolation rational representation barycentric representation piecewise rational interpolation
2011/9/20
Abstract: In this paper, we consider the particular case of the general rational Hermite interpolation problem where only the value of the function is interpolated at some points, and where the functi...
Finding saddle points of mountain pass type with quadratic models on affine spaces
Mountain pass algorithm conjugate gradient convergence Krylov subspace indefinite matrix
2011/9/16
Abstract: The problem of computing saddle points is important in certain problems in numerical partial differential equations and computational chemistry, and is often solved numerically by a minimiza...
On the Mechanism of Roe-type Schemes for All-Speed Flows
Roe-type scheme all-speed flows preconditioning checkerboard pressure-velocity decoupling asymptotic analysis global cut-off strategy
2011/9/14
Abstract: In recent years, Roe-type schemes based on different ideas have been developed for all-speed flows, such as the preconditioned Roe, the All-Speed Roe, Thornber's modified Roe and the LM-Roe ...
A Haar-type Approximation and a New Numerical Schema for the Korteweg-de Vries Equation
KdV equation Haar wavelets potential fragmentation layer stripping Inverse Scattering Transform
2011/9/14
Abstract: We discuss a new numerical schema for solving the initial value problem for the Korteweg-de Vries equation for large times. Our approach is based upon the Inverse Scattering Transform that r...
Poset pinball, the dimension pair algorithm, and type A regular nilpotent Hessenberg varieties
Poset pinball the dimension pair algorithm type regular nilpotent Hessenberg varieties
2011/2/22
In thismanuscript we develop the theory of poset pinball, a combinatorial game recently introduced by Harada and Tymoczko for the study of the equivariant cohomology rings of GKM-compatible subspaces ...
Multipliers of Laplace Transform Type for Laguerre and Hermite Expansions
Laguerre expansions Hermite expansions harmonic oscillator
2010/12/6
We present a new criterion for the boundedness in weighted Lp spaces of multiplier operators for Laguerre and Hermite expansions that arise from a Laplace-Stieltjes transform. As a special case, we re...
Some estimates for Bochner-Riesz operators on the weighted Herz-type Hardy spaces
Bochner-Riesz operators weighted Herz-type Hardy spaces Ap weights atomic decomposition
2010/12/15
In this paper, by using the atomic decomposition and molecular characterization of the homogeneous and non-homogeneous weighted Herz-type Hardy spaces H ˙K ,p q (w1,w2)(HK ,p
q (w1,w2)), we obtain s...
ASYMPTOTIC ERROR EXPANSION AND DEFECT CORRECTION FOR SOBOLEV ANDVISCOELASTICITY TYPE EQUATIONS
2007/12/12
In this paper we study the higher accuracy methods
$-$ the extrapolation and defect correction for the semidiscrete Galerkin approximations
to the solutions of Sobolev and viscoelasticity type equat...