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Nonlinear-damping continuation of the nonlinear Schrodinger equation - a numerical study
Nonlinear-damping continuation nonlinear Schrodinger equation Analysis of PDEs
2011/9/13
Abstract: We study the nonlinear-damping continuation of singular solutions of the critical and supercritical NLS. Our simulations suggest that for generic initial conditions that lead to collapse in ...
Numerical ranges of companion matrices: flat portions on the boundary
numerical range companion matrix Functional Analysis Algebraic Geometry
2011/9/9
Abstract: Criterion for a companion matrix to have a certain number of flat portions on the boundary of its numerical range is given. The criterion is specialized to the cases of 3-by-3 and 4-by-4 mat...
Numerical simulations of black-hole binaries and gravitational wave emission
Numerical Relativity Black Holes Gravitational Wave Physics Astrophysics High-Energy Physics
2011/10/17
We review recent progress in numerical relativity simulations of black-hole (BH) spacetimes. Following a brief summary of the methods employed in the modeling, we summarize the key results in three ma...
Analogue-dynamical Prediction of Numerical Model Errors in the Mid-Lower Reaches of the Yangtze River
-Principal Component Analysis Numerical Model Errors Analogue-dynamical Prediction
2011/9/30
A new prediction error correction scheme based on 74 circulation characteristics data provided by Weather Diagnostic Forecasting Division of National Climate Center, which is designed to develop the O...
Numerical Computations of Conductivities over Agglomerated Continuum Percolation Models
continuum percolation conductivity critical exponents agglomerated particles
2011/8/16
Abstract: We numerically investigate the conductivities of continuum percolation models consisting of overlapped particles using the finite difference method as a sequel of our previous article (Int. ...
Analogue-dynamical Prediction of Numerical Model Errors in the Mid-Lower Reaches of the Yangtze River
Principal Component Analysis Numerical Model Errors Analogue-dynamical Prediction
2011/8/16
Abstract: A new prediction error correction scheme based on 74 circulation characteristics data provided by Weather Diagnostic Forecasting Division of National Climate Center, which is designed to dev...
Modeling near-field radiative heat transfer from sharp objects using a general 3d numerical scattering technique
Modeling near-field radiative heat transfer sharp objects 3d numerical scattering technique
2011/8/4
Abstract: We examine the non-equilibrium radiative heat transfer between a plate and finite cylinders and cones, making the first accurate theoretical predictions for the total heat transfer and the s...
Numerical Solution of the Tomography Problem in Domains with Obstacles
Numerical Solution the Tomography Problem Obstacles Numerical Analysis
2011/8/26
Abstract: We study numerical methods of tomography in domains with a reflecting obstacle. It will be shown that tomography with sets containing both broken rays, i.e. rays reflecting at the obstacle, ...
A note on the computation of the Frobenius number of a numerical semigroup
numerical semigroup Frobenius number monomial curve semigroup ideal
2011/8/26
Abstract: In this article we present a formula for the computation of the Frobenius number and the conductor of a numerical semigroup from the sockel of a quotient of certain semigroup ring.
C*-algebras with the weak expectation property and a multivariable analogue of Ando's theorem on the numerical radius
C*-algebras the weak expectation property Ando's theorem the numerical radius
2011/8/23
Abstract: A classic theorem of T. Ando characterises operators that have numerical radius at most one as operators that admit a certain positive 2x2 operator matrix completion. In this paper we consid...
Numerical Simulations of Rockfall Protection Retaining Wall Joined to Steel-Pile Foundation
Impact Response Analysis Pile Foundation Rockfall Retaining-Wall
2011/12/20
In Japan, many rockfall protection walls have been constructed along the nationalhighways in mountainous areas. Up till now, usually these were gravity-type walls. However, ifthere is not much space b...
Water Pressure Numerical Analysis of Lining Structure in Mountain Tunnel
Lining Mountain Tunnel Numerical Analysis Seepage Water Pressure
2011/12/20
It is hard to control the high pressure water in mountain tunnel construction. Distribution of seepage field, stress field and displacement field of tunnel are analyzed by numerical method with equiva...
Numerical Bifurcation Analysis of Conformal Formulations of the Einstein Constraints
bifurcation theory nonlinear PDE non-uniqueness solution folds pitchfork bifurcation compact operators Fredholm operators
2011/8/23
Abstract: The Einstein constraint equations have been the subject of study for more than fifty years. The introduction of the conformal method in the 1970's as a parameterization of initial data for t...
Numerical Solution of Nonlinear Fredholm-Volterra Integtral Equations via Piecewise Constant Function by Collocation Method
Nonlinear Fredholm-Volterra Integral Equation Block-Pulse Function, Error Analysis Collocation Points
2013/1/30
In this work, we present a computational method for solving nonlinear Fredholm-Volterra integral equations of the second kind which is based on replacement of the unknown function by truncated series ...
Numerical Solution of Obstacle Problems by B-Spline Functions
Least Square Method Uniform B-Splines Boundary Value Problems Obstacle Problems
2013/1/30
In this study, we use B-spline functions to solve the linear and nonlinear special systems of differential equations associated with the category of obstacle, unilateral, and contact problems. The pro...