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[PDF] Top 20 Solution of the Wigner-Poisson equations for RTDS

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Solution of the Wigner-Poisson equations for RTDS

Solution of the Wigner-Poisson equations for RTDS

... To parallelize our evaluation of W(f), we take our domain in ( x, k ) space and distribute among different processors. Here, we decided that each processor would get a contiguous block of x-space and all of the ... See full document

6

Parallel parameter study of the Wigner-Poisson equations for RTD'S

Parallel parameter study of the Wigner-Poisson equations for RTD'S

... The second continuation method, pseudo arclength continuation [4], is use- ful when continuing around turning points. Turning points are parts of the solution branch where the branch turns around on itself. When a ... See full document

18

Numerical Simulation of Resonant Tunneling Devices Described by the Wigner-Poisson Equations.

Numerical Simulation of Resonant Tunneling Devices Described by the Wigner-Poisson Equations.

... Therefore, the parameters used in the model must reflect the use of materials that can closely replicate the device’s predicted performance. For molecular sources that are group III semiconductors, Gallium (Ga) is one of ... See full document

164

Simulating nanoscale semiconductor devices

Simulating nanoscale semiconductor devices

... The next generation of electronic devices will be developed at the nanoscale and molecular level, where quantum mechanical effects are observed. These effects must be accounted for in the design process for such small ... See full document

14

Numerical Methods for the Wigner-Poisson Equations

Numerical Methods for the Wigner-Poisson Equations

... the Wigner equation and the approximate solution we obtain is a weigted sum of delta functions involving the par- ...linear Wigner equation with a fixed potential U and neglect scattering effects ... See full document

168

The Influence of Grid Orthogonality on the Convergence of the SIMPLE Algorithm for Solving Navier-Stokes Equations

The Influence of Grid Orthogonality on the Convergence of the SIMPLE Algorithm for Solving Navier-Stokes Equations

... A finite-volume method fo r solving the Navier-Stokes equations on a locally orthogonal unstruc­ tured grid using the SIMPLE algorithm has been developed. The developed method was compared with a similar method on ... See full document

9

A Conservative Finite Difference Scheme for Poisson-Nernst-Planck Equations

A Conservative Finite Difference Scheme for Poisson-Nernst-Planck Equations

... The computer simulations of the Poisson-Nernst-Planck models are able to capture the transient, dynamical behavior of the system, and the numerical schemes employed are quite varied. Cagni et al. (2007) [2] ... See full document

25

A Conservative Finite Difference Scheme for Poisson-Nernst-Planck Equations

A Conservative Finite Difference Scheme for Poisson-Nernst-Planck Equations

... We present a method for deriving numerical schemes that would conserve total concentration of each ion species exactly if computations were performed with- out round-off errors. We will illustrate the method by ... See full document

22

Understanding Engineering Mathematics   John Bird   2014 pdf

Understanding Engineering Mathematics John Bird 2014 pdf

... Engineers use fractions all the time. Examples including stress to strain ratios in mechanical engi- neering, chemical concentration ratios and reaction rates, and ratios in electrical equations to solve for ... See full document

1184

Exact and Explicit Approximate Solutions to the Multi-Order Fractional Burgers-Poisson and Fractional Burgers-Poisson Equations

Exact and Explicit Approximate Solutions to the Multi-Order Fractional Burgers-Poisson and Fractional Burgers-Poisson Equations

... Notable among the interesting behaviors exhibited by the BP equation were, local existence results for smooth solutions, global existence result for weak entropy solutions and wave breaking in finite time [1]. The ... See full document

8

Algorithm of Iterative Solution of Linear Algebraic Equations Systems Based on the Second Order Delta-Transformation for Specialized Computers of Real-Time Systems

Algorithm of Iterative Solution of Linear Algebraic Equations Systems Based on the Second Order Delta-Transformation for Specialized Computers of Real-Time Systems

... for solution of algebraic equation systems with constant and variable free terms based on the second order delta-transformation with variable ...approximate solution of problem of minimization of number of ... See full document

11

Contracting the Wigner kernel of a spin to the Wigner kernel of a particle

Contracting the Wigner kernel of a spin to the Wigner kernel of a particle

... A general relation between the Moyal formalisms for a spin and a particle is established. Once the formalism has been set up for a spin, the phase-space description of a particle is obtained from contracting the group of ... See full document

6

A conservative finite difference scheme for Poisson–Nernst–Planck equations

A conservative finite difference scheme for Poisson–Nernst–Planck equations

... differential equations that preserved the to- tal energy exactly, based on the average vector field ...differential equations characterized by conservation of the discrete energy, and they demonstrated its ... See full document

15

A Fast high Order Algorithm for Three dimensional Poisson Equations

A Fast high Order Algorithm for Three dimensional Poisson Equations

... three-dimensional Poisson equation is a kind of partial differential equation with wide application range, and its numerical calculation plays a very important role in the numerical simulation of fluid mechanics, ... See full document

8

Ionic current through an open channel: a low-dimensional model of coupling with vibrations of the wall.

Ionic current through an open channel: a low-dimensional model of coupling with vibrations of the wall.

... We emphasize that the results of the BD simulations and of the solution of the PNP equations must coincide unless there is some inconsistency in the specification of the boundary conditions. The important ... See full document

7

AN ENERGETIC VARIATIONAL APPROACH TO MATHEMATICAL MODELING OF CHARGED FLUIDS: CHARGE PHASES, SIMULATION AND WELL POSEDNESS

AN ENERGETIC VARIATIONAL APPROACH TO MATHEMATICAL MODELING OF CHARGED FLUIDS: CHARGE PHASES, SIMULATION AND WELL POSEDNESS

... the equations of stationary electrokinetics, demonstrate the existence of solutions to these equations and discuss the qualitative properties of limiting stationary solutions as ǫ → ...stationary ... See full document

83

Taylor approximation of stochastic functional differential equations with the Poisson jump

Taylor approximation of stochastic functional differential equations with the Poisson jump

... the Poisson jump is concerned, the rate of approximation to the true solution by the numerical solution is the same as the equation in ...the Poisson process is replaced by Poisson ... See full document

10

Particle-in-wavelets scheme for the 1D Vlasov-Poisson equations ⋆,⋆⋆

Particle-in-wavelets scheme for the 1D Vlasov-Poisson equations ⋆,⋆⋆

... Vlasov-Poisson equations, that we call particle- in-wavelets (PIW) because it relies crucially on wavelet expansions of the Dirac delta functions corresponding to every ... See full document

15

Explanation of the puzzle of 164Dy scissors

Explanation of the puzzle of 164Dy scissors

... decoupling) solution of dynamical equations for second order moments of TD- HFB equations is the understanding of the remarkable fact: three different types of the scissors mode can exist in nu- ... See full document

6

Approximation of the Wigner Distribution for Dynamical Systems Governed by Differential Equations

Approximation of the Wigner Distribution for Dynamical Systems Governed by Differential Equations

... the Wigner distribution was initiated by Wigner wherein he wrote the equation of motion for the Wigner distribution corre- sponding to the solution to the Schrödinger ...fact Wigner ... See full document

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