On stochastic Galerkin approximation of the nonlinear Boltzmann equation with uncertainty in the fluid regime.
Jingwei HuShi JinRuiwen ShuPublished in: J. Comput. Phys. (2019)
Keyphrases
- differential equations
- numerical integration
- difference equations
- ordinary differential equations
- partial differential equations
- stochastic simulation
- feed forward artificial neural networks
- stochastic nature
- boundary value problem
- brownian motion
- nonlinear equations
- taylor series
- dynamical systems
- approximation schemes
- discrete random variables
- numerical solution
- numerical methods
- finite difference
- stage stochastic programs
- navier stokes
- anisotropic diffusion
- diffusion equation
- monte carlo sampling
- uncertain data
- monte carlo
- stochastic programming
- taylor series expansion
- linear approximation
- conditional probabilities
- level set
- state space
- robust optimization
- image denoising
- mathematical model