scholarly journals A NOVEL AND EFFICIENT IMPLEMENTATION OF HIGHER ORDER CPML FOR TRUNCATING THE UNMAGNETIZED PLASMA

2021 ◽  
Vol 96 ◽  
pp. 47-52
Author(s):  
Jianxiong Li ◽  
Zhi Li ◽  
Xiaoming Zhao
Keyword(s):  
Higher Order ◽  
Efficient Implementation ◽  
Unmagnetized Plasma

Propagation of the higher-order Landau modes of electron plasma wave

1977 ◽  
Vol 17 (2) ◽  
pp. 251-257 ◽  
Author(s):  
S. Ikezawa ◽  
Y. Kawai ◽  
T. Hara ◽  
Y. Nakamura ◽  
T. Itoh ◽  
...  
Keyword(s):  
Numerical Calculation ◽  
Reasonable Agreement ◽  
Plasma Frequency ◽  
Electron Plasma ◽  
Higher Order ◽  
Third Order ◽  
Electron Plasma Wave ◽  
The Third ◽  
Dipole Excitation ◽  
Unmagnetized Plasma

Propagation of electrostatic electron waves whose frequency is smaller than the electron plasma frequency in a large unmagnetized plasma is investigated both experimentally and theoretically. When a receiver is close to a transmitter, free-streaming electrons are detected owing to their large capacity for excitation. When the distance between the receiver and the transmitter becomes large, the third-order Landau mode is observed due to its smaller damping than that of free-streaming electrons. Finally, a dip in amplitude of the wave, caused by interference by the higher-order Landau modes, is seen. The results are in reasonable agreement with numerical calculation assuming a dipole excitation for the wave.

scholarly journals Approximate Crank–Nicolson Algorithm with Higher-Order PML Implementation for Plasma Simulation in Open Region Problems

2021 ◽  
Vol 2021 ◽  
pp. 1-12
Author(s):  
Liqiang Niu ◽  
Yongjun Xie ◽  
Jie Gao ◽  
Peiyu Wu ◽  
Haolin Jiang
Keyword(s):  
Finite Difference Time Domain ◽  
Piecewise Linear ◽  
Higher Order ◽  
Unconditional Stability ◽  
Plasma Simulation ◽  
Open Region ◽  
Effectiveness And Efficiency ◽  
Unmagnetized Plasma ◽  
Difference Time ◽  
Crank Nicolson

By incorporating the higher-order concept with the perfectly matched later (PML) scheme, unconditionally stable approximate Crank–Nicolson algorithm is proposed for plasma simulation in open region problems. More precisely, the proposed implementation is based on the CN Direct-Splitting (CNDS) procedure for the finite-difference time-domain (FDTD) unmagnetized plasma simulation. The unmagnetized plasma can be regarded as frequency-dependent media which can be calculated by the piecewise linear recursive convolution (PLRC) method. The proposed implementation shows the advantages of higher-order concept, CNDS procedure, and PLRC method in terms of improved absorbing performance, enhanced computational efficiency, and outstanding calculation accuracy. Numerical examples are introduced to indicate the effectiveness and efficiency. It can be concluded from results that the proposed scheme shows considerable efficiency, accuracy, absorption, and unconditional stability.

scholarly journals Provably correct, asymptotically efficient, higher-order reverse-mode automatic differentiation

2022 ◽  
Vol 6 (POPL) ◽  
pp. 1-30
Author(s):  
Faustyna Krawiec ◽  
Simon Peyton Jones ◽  
Neel Krishnaswami ◽  
Tom Ellis ◽  
Richard A. Eisenberg ◽  
...  
Keyword(s):  
Automatic Differentiation ◽  
Higher Order ◽  
Efficient Implementation ◽  
Formal Description ◽  
Memory Consumption ◽  
Reverse Mode ◽  
Original Program ◽  
Run Time ◽  
Asymptotically Efficient ◽  
Higher Order Functions

In this paper, we give a simple and efficient implementation of reverse-mode automatic differentiation, which both extends easily to higher-order functions, and has run time and memory consumption linear in the run time of the original program. In addition to a formal description of the translation, we also describe an implementation of this algorithm, and prove its correctness by means of a logical relations argument.

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