Computational plasma physics
Numerical recipes in C (2nd ed.): the art of scientific computing
Numerical recipes in C (2nd ed.): the art of scientific computing
Numerical Methods for Physics (2nd Edition)
Numerical Methods for Physics (2nd Edition)
Plasma Physics Via Computer
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
A low-variance deviational simulation Monte Carlo for the Boltzmann equation
Journal of Computational Physics
An improved Quiet Direct Simulation method for Eulerian fluids using a second-order scheme
Journal of Computational Physics
| Hi-index | 31.46 |
Use of a high-order deterministic sampling technique in direct simulation Monte-Carlo (DSMC) simulations eliminates statistical noise and improves computational performance by orders of magnitude. In this paper it is also shown that if a random timestep is used in place of a fixed timestep, there is an additional improvement in performance. This performance can be increased by using a timestep that samples a random variable with a high-kurtosis probability density function. As a simple example of the method, the one-dimensional diffusion equation with an exponentially-distributed timestep is simulated, and a performance gain of approximately two is obtained. Applications to numerical simulations of fluids and plasmas are indicated.