Latest Research in Model Reduction and Neural Networks

Top Research Topics in Model Reduction and Neural Networks

• Numerical Analysis — 10 papers
• Model Reduction and Neural Networks — 3 papers
• Neural Networks Stability and Synchronization — 1 papers
• Stability and Controllability of Differential Equations — 1 papers
• Probabilistic and Robust Engineering Design — 1 papers
• Electromagnetic Simulation and Numerical Methods — 1 papers
• Navier-Stokes equation solutions — 1 papers
• Probability — 1 papers
• Markov Chains and Monte Carlo Methods — 1 papers
• Mathematical Physics — 1 papers

Highest-Cited Papers

1. The Seonggil Framework for Non-Local, Multi-Layered Causal Networks: Real-Time Global Control and Feedback Stabilization
2. Carleman estimates for a nonconservative Timoshenko beam involving Dirichlet-Neumann boundary conditions and application to exact controllability
3. Sampling, approximation, and interpolation of differential forms by admissible integral k-meshes
4. FEM-BEM coupling for the high-frequency Helmholtz problem
5. Structure-Preserving Analysis of Euler and Navier–Stokes Equations Scaling, Residuals, and Quantitative Regularity
6. Exploration of the 3D Incompressible Euler Equations
7. Towards provable energy-stable overset grid methods using sub-cell summation-by-parts operators
8. Higher-order hyperuniformity of random measures
9. Numerical Methods for Dynamical Low-Rank Approximations of Stochastic Differential Equations -- Part II: Stochastic discretization
10. Rate of convergence of a fully discrete structure-preserving midpoint scheme for the stochastic Landau--Lifshitz--Gilbert equation
11. Convergence of a continuous Galerkin method for the Biot-Allard poroelasticity system
12. A structure-preserving implicit-explicit method for a hyperbolic approximation of fourth-order PDEs
13. Energy-Consistent Splitting and Decomposition Approaches for Coupled port-Hamiltonian ODEs
14. Error estimate of the nonuniform BDF3-L2 method for subdiffusion equations via multiscale solution decomposition
15. Learning Efficient and Provably Convergent Symmetric Splitting Methods
16. GUE-corners process in two-periodic Aztec diamonds
17. A Double-Adaptivity Solver for Parabolic PDEs
18. Reimagining Dynamical Systems
19. A model order reduction based adaptive parareal method for time-dependent partial differential equations
20. Free-surface Stokes problem: stability estimates and time-step improvements