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Numerical Solution of the Fredholme-Volterra Integral Equation by the Sinc Function
Fredholme-Volterra Integral Equation Sinc Function Collocation Method
2013/1/30
In this paper, we use the Sinc Function to solve the Fredholme-Volterra Integral Equations. By using collocation method we estimate a solution for Fredholme-Volterra Integral Equations. Finally conver...
Solving the inverse problem of high numerical aperture focusing using Slepian-type vector fields
High numerical aperture focusing Vector diffraction theory Inverse problem Slepian’s concentration problem
2012/5/29
A technique using vector Slepian harmonics and multipole fields is presented for a general treatment of the inverse problem of high numerical aperture focusing. A prescribed intensity distribution or ...
Geometric numerical schemes for the KdV equation
KdV equation symplectic scheme multi-symplectic scheme solitonic gas wave turbulence
2012/5/29
Geometric discretizations that preserve certain Hamiltonian structures at the discrete level has been proven to enhance the accuracy of numerical schemes. In particular, numerous symplectic and multi-...
Asymptotic Derivation and Numerical Investigation of Time-Dependent Simplified Pn Equations
Asymptotic Derivation Numerical Investigation Time-Dependent Simplified Pn Equations Computational Physics
2012/5/28
The steady-state simplified Pn (SPn) approximations to the linear Boltzmann equation have been proven to be asymptotically higher-order corrections to the diffusion equation in certain physical system...
Towards an efficient multiscale modeling of low-dimensional reactive systems: study of numerical closure procedures
efficient multiscale modeling low-dimensional reactive systems numerical closure procedures Computational Physics
2012/4/27
In this paper, we present a study on how to develop an efficient multiscale simulation strategy for the dynamics of chemically active systems on low-dimensional supports. Such reactions are encountere...
Numerical Simulation of Nano Scanning in Intermittent-Contact Mode AFM under Q control
Numerical Simulation Nano Intermittent-Contact Mode AFM Q control Atomic Physics
2012/4/24
We investigate nano scanning in tapping mode atomic force microscopy (AFM) under quality (Q) control via numerical simulations performed in SIMULINK. We focus on the simulation of whole scan process r...
An estimation of the radioactive 35S emitted into the atmospheric from the Fukushima Daiichi Nuclear Power Plant by using a numerical simulation global transport
Fukushima Daiichi nuclear power plant radioactive isotopes sulfate global transport model SPRINTAR
2017/4/11
We present a numerical study carried out with the SPRINTARS model modified to account for the radioactive decay of 35S compounds emitted from the Fukushima Daiichi nuclear power plant station after th...
Numerical study of linear and circular model DNA chains confined in a slit: metric and topological properties
Numerical study linear and circular model DNA chains metric and topological properties Biological Physics
2012/4/20
Advanced Monte Carlo simulations are used to study the effect of nano-slit confinement on metric and topological properties of model DNA chains. We consider both linear and circularised chains with co...
Information Transmission using the Nonlinear Fourier Transform, Part II: Numerical Methods
Fiber-optic communications forward nonlinear Fourier transform Zakharov-Shabat spectral problem numerical methods
2012/4/23
In this paper, numerical methods are suggested to compute the discrete and the continuous spectrum of a signal with respect to the Zakharov-Shabat system, a Lax operator underlying numerous integrable...
Numerical Analysis of Parallel Replica Dynamics
Numerical Analysis Parallel Replica Dynamics Numerical Analysis
2012/4/23
Parallel replica dynamics is a method for accelerating the computation of processes characterized by a sequence of infrequent events. Such processes spend much of their time about the minima of an und...
Asymptotic behaviour and numerical approximation of optimal eigenvalues of the Robin Laplacian
Robin Laplacian Eigenvalues Optimisation
2012/4/18
We consider the problem of minimising the $n^{th}-$eigenvalue of the Robin Laplacian in $\mathbb{R}^{N}$. Although for $n=1,2$ and a positive boundary parameter $\alpha$ it is known that the minimiser...
A Numerical Study of Turbulent Flame Speeds of Curvature and Strain G-equations in Cellular Flows
Curvature/Strain G-equations Cellular Flows Front Speed Computation Enhancement and Quenching
2012/2/29
We study front speeds of curvature and strain G-equations arising in turbulent combustion. These G-equations are Hamilton-Jacobi type level set partial differential equations (PDEs) with non-coercive ...
Numerical Study of the Properties of the Central Moment Lattice Boltzmann Method
Numerical Study Properties the Central Moment Lattice Boltzmann Method
2012/2/29
Central moment lattice Boltzmann method (LBM) is one of the more recent developments among the lattice kinetic schemes for computational fluid dynamics. A key element in this approach is the use of ce...
FlowPy - a numerical solver for functional renormalization group equations
FlowPy numerical solver functional renormalization group equations
2012/2/29
FlowPy is a numerical toolbox for the solution of partial differential equations encountered in Functional Renormalization Group equations. This toolbox compiles flow equations to fast machine code an...
Pattern formation in a cell based auxin transport model with numerical bifurcation analysis
Pattern formation cell auxin transport model numerical bifurcation analysis
2012/2/28
Transport models of growth hormones can be used to reproduce the hormone accumulations that occur in plant organs. Mostly, these accumulation patterns are calculated using time step methods, even thou...