A multi-fidelity machine learning based semi-Lagrangian finite volume scheme for linear transport equations and the nonlinear Vlasov-Poisson system.
Yongsheng ChenWei GuoXinghui ZhongPublished in: CoRR (2023)
Keyphrases
- machine learning
- linear systems
- finite difference
- gauss seidel
- nonlinear equations
- closed form
- numerical integration
- nonlinear optimization problems
- simple linear
- machine learning methods
- nonlinear regression
- piecewise linear
- difference equations
- nonlinear functions
- relaxation algorithm
- machine learning algorithms
- optimal solution
- reinforcement learning
- numerical scheme
- angular velocity
- learning algorithm
- nonlinear models
- linear quadratic
- boundary value problem
- numerical solution
- feature selection
- closed form solutions
- numerical methods
- finite number
- differential equations
- dynamical systems
- sufficient conditions
- information extraction
- computational intelligence
- natural language processing
- data mining
- finite dimensional
- wave equation
- algebraic equations
- hamilton jacobi
- linearly separable
- nonlinear optimization
- neural network