Reduced basis approximations of parameterized dynamical partial differential equations via neural networks

Keyphrases

• Neural Network 100%
• Partial Differential Equations 100%
• Reduced Order Model 100%
• Reduced Basis Method 100%
• Computational Cost 50%
• Computational Complexity 50%
• Parameter Dependence 50%
• Projection Method 50%
• Differential Equations 50%
• Basis Expansion 50%
• Parabolic Partial Differential Equations 50%
• Projection-based 50%
• Accurate Approximation 50%
• Nonlinear Problems 50%
• High-fidelity Model 50%
• Efficient Approximation 50%
• Reduced Basis 50%
• Separability 50%
• Dynamical Parameters 50%
• Linear Problem 50%
• Parameter-dependent Problem 50%

Mathematics

• Partial Differential Equation 100%
• Neural Network 100%
• Parametric 50%
• Parabolic 50%
• Computational Cost 50%
• Nonlinear Problem 50%
• Dependent Problem 50%
• Linear Problem 50%
• Dependent Differential Equation 50%