Discretization of the frobenius-perron operator using a sparse haar tensor basis: the sparse ulam method

Keyphrases

• Tensor-based 100%
• Haar 100%
• Sparse Grids 100%
• Eigenfunctions 100%
• Long-term Dynamics 100%
• Ulam's Method 100%
• Frobenius-Perron Operator 100%
• Numerical Examples 50%
• Partial Differential Equations 50%
• Dynamical Systems 50%
• Numerical Techniques 50%
• Macroscopic Behavior 50%
• Piecewise Constant Functions 50%
• Numerical Approximation 50%
• Kiel 50%
• Approximation Space 50%
• High-dimensional Partial Differential Equations 50%
• Ulam 50%
• Parallel Algorithm 50%

Mathematics

• Discretization 100%
• Tensor 100%
• Partial Differential Equation 100%
• Sparse Grids 100%
• Frobenius-Perron Operator 100%
• Eigenvector 100%
• Dynamical System 50%
• Constant Function 50%
• Numerical Approximation 50%
• Numerical Example 50%
• Numerical Technique 50%