Latest Research in Nonlinear Computational Dynamics

Top Research Topics in Nonlinear Computational Dynamics

• Numerical Analysis — 128 papers
• Advanced Numerical Methods in Computational Mathematics — 17 papers
• Statistical Mechanics — 15 papers
• Probability — 12 papers
• Nonlinear Dynamics and Pattern Formation — 11 papers
• Model Reduction and Neural Networks — 10 papers
• Mathematical Physics — 8 papers
• Analysis of PDEs — 8 papers
• Quantum Physics — 6 papers
• Chaos control and synchronization — 5 papers

Highest-Cited Papers

1. Disorder-promoted stability (1 citations)
2. A convergent finite element method for a model of liquid crystal dynamics subjected to an electric field
3. Provably positivity-preserving, globally divergence-free central DG methods for ideal MHD system
4. Complex analytic integration in Galerkin boundary element method for 2-D potential problems
5. A high-order finite difference HWENO scheme with WENO-η non-linear weights for Hamilton-Jacobi equations
6. The complex variable reproducing kernel particle method for three-dimensional problems
7. Dynamics of coupled nonlinear diffusion–reaction systems
8. An equivalence of moment closure and nonlinear variational approximation of the Fokker–Planck equation for dilute polymeric flow
9. The Seonggil Framework for Non-Local, Multi-Layered Causal Networks: Real-Time Global Control and Feedback Stabilization
10. Before the Spike: Exact Bifurcation Anchors and Stochastic Ceilings at the Edge of Stability
11. The Seonggil Framework for Non-Local, Multi-Layered Causal Networks: Real-Time Global Control and Feedback Stabilization
12. Before the Spike: Exact Bifurcation Anchors and Stochastic Ceilings at the Edge of Stability
13. Carleman estimates for a nonconservative Timoshenko beam involving Dirichlet-Neumann boundary conditions and application to exact controllability
14. Accurate single-step error estimation and universality for second-order implicit and explicit time integration algorithms in computational mechanics
15. Topological Memory and Hysteresis in Reconfigurable Dusty Plasma Networks
16. Entropy-Based Local Characteristic Decomposition
17. The infinite volume limit of the Hopfield neural networks in the replica-symmetric regime
18. A pressure-projection formulation in a least-squares meshfree method for the incompressible Navier-Stokes equations using a staggered-variable arrangement
19. Mixed-precision GPU algorithms for efficient turbulent flow simulations with Raviart-Thomas finite elements
20. A Hybrid High-Order Method for the Elasticity Problem with Linear Slip Interface

Sub-Regions

• Statistical Mechanics — 127 papers
• Nonlinear Dynamics and Pattern Formation — 91 papers
• Advanced Numerical Methods in Computational Mathematics — 35 papers
• Numerical Analysis — 29 papers
• Probability — 29 papers
• Model Reduction and Neural Networks — 23 papers