An improved algorithm for balanced POD through an analytic treatment of impulse response tails

Mathematics

• Proper Orthogonal Decomposition 100%
• Impulse Response 88%
• Decomposition Algorithm 67%
• Tail 66%
• Snapshot 51%
• Eigenvector 51%
• Complex Ginzburg-Landau Equation 25%
• Reduced Order Model 24%
• Large Data Sets 22%
• Observability 19%
• Long-time Behavior 19%
• Eliminate 18%
• Fluid Flow 18%
• Exceed 17%
• Controllability 17%
• Linear Combination 16%
• Requirements 15%
• Costs 13%
• Decompose 12%
• Simulation 11%
• Demonstrate 11%
• Standards 10%
• Estimate 8%

Physics & Astronomy

• impulses 67%
• decomposition 56%
• eigenvectors 39%
• Landau-Ginzburg equations 18%
• controllability 17%
• matrices 16%
• fluid flow 14%
• costs 11%
• requirements 10%
• estimates 8%
• simulation 5%

Engineering & Materials Science

• Impulse response 76%
• Decomposition 53%
• Eigenvalues and eigenfunctions 47%
• Observability 16%
• Large dataset 16%
• Controllability 15%
• Flow of fluids 13%
• Data storage equipment 9%
• Costs 5%