Latest Research in Numerical Analysis

Top Research Topics in Numerical Analysis

• Numerical Analysis — 5 papers
• Chaos control and synchronization — 5 papers
• Model Reduction and Neural Networks — 4 papers
• Dynamical Systems — 3 papers
• Machine Learning — 3 papers
• Machine Learning — 2 papers
• Statistics Theory — 2 papers
• Statistical Mechanics — 2 papers
• Nonlinear Dynamics and Pattern Formation — 1 papers
• Tensor decomposition and applications — 1 papers

Highest-Cited Papers

1. Path Memory and Multistability in Coupled Oscillator Networks: A Numerical Study
2. Interpolatory dynamical low-rank approximation: theoretical foundations and algorithms
3. Extended dynamic mode decomposition with Fourier dictionaries: Error bounds and fast implementation
4. Reference-free logged energy-oracle recovery for neural approximations of symmetric coercive variational problems: conforming Riesz reconstruction and archive-level selection
5. Learning Lyapunov Operators for Nonlinear Systems
6. Certified Inference and Training for Deep Equilibrium Networks: A Continuation Framework with Polynomial Complexity Guarantees
7. Likelihood-Coin Poisson Sampling for Bayesian Inverse Problems: Exact Sampling and Sharp Complexity
8. Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models
9. Deep learning methods for inverse problems using connections between proximal operators and Hamilton-Jacobi equations
10. Gradient-Enhanced Proximal Algorithms for Mean Field Planning on Surfaces
11. Inferring diffusivity from killed diffusion
12. Metric Deformation and Topological Persistence of Molecular Configuration Spaces
13. Identifying stochastic differential equation with high-order accuracy via Fourier series
14. A Fully Dual Domain Decomposition Method for Extreme Learning Machines Using GenEO Spectral Coarse Spaces
15. Universal Approximation Theorems for Dynamical Systems with Infinite-Time Horizon Guarantees
16. Volterra-Gegenbauer Modeling of Nonlinear Systems for Global Fishery Availability Under Anthropogenic Stress
17. Mathematical Physics Models of RLC Electrical Circuit with Generalized $\mathcal{M}$ Derivative
18. A simple shallow neural network for emulating the solution to singularly perturbed problems
19. Schrödinger Bridges on Lie Group Manifolds for Probabilistic Intrinsic Generation
20. Dynamical Analysis and Backstepping-Based Synchronization of a Fractional-Order Hyperchaotic Yan System Using RBF Neural Networks