Latest Research in Nonlinear Dynamics and Pattern Formation

Top Research Topics in Nonlinear Dynamics and Pattern Formation

• Numerical Analysis — 35 papers
• Nonlinear Dynamics and Pattern Formation — 5 papers
• Advanced Numerical Methods in Computational Mathematics — 4 papers
• Model Reduction and Neural Networks — 4 papers
• Numerical methods for differential equations — 3 papers
• Dynamical Systems — 3 papers
• Chaos control and synchronization — 2 papers
• Quantum Physics — 2 papers
• Probability — 2 papers
• Fractional Differential Equations Solutions — 2 papers

Highest-Cited Papers

1. Complex analytic integration in Galerkin boundary element method for 2-D potential problems
2. A high-order finite difference HWENO scheme with WENO-η non-linear weights for Hamilton-Jacobi equations
3. The complex variable reproducing kernel particle method for three-dimensional problems
4. Dynamics of coupled nonlinear diffusion–reaction systems
5. Before the Spike: Exact Bifurcation Anchors and Stochastic Ceilings at the Edge of Stability
6. Before the Spike: Exact Bifurcation Anchors and Stochastic Ceilings at the Edge of Stability
7. Accurate single-step error estimation and universality for second-order implicit and explicit time integration algorithms in computational mechanics
8. Entropy-Based Local Characteristic Decomposition
9. Mixed-precision GPU algorithms for efficient turbulent flow simulations with Raviart-Thomas finite elements
10. On the Expressive Power of the Transverse-Field Ising Model for Graph Learning
11. A Fictitious Domain Formulation with Bubble Enrichment
12. Trend to Equilibrium and Diffusion Limit for the Inertial Kuramoto–Sakaguchi Equation
13. Identification of a Point Source in the Heat Equation from Sparse Boundary Measurements
14. High-order discrete differential and integral calculus and Galerkin variational integrators
15. Approximation of the Basset force in the Maxey-Riley-Gatignol equations via universal differential equations
16. Wideband Directional $\mathcal{H}^2$-Matrix Compression for the Electric Field Integral Equation with Geometry-Adaptive Cluster Trees
17. Geometry-induced formation and merging of multiple dead zones in diffusion-reaction problems
18. A Matrix-free Augmented High Order Compact Solver for Variable-Coefficient Biharmonic Problems
19. Phase Transition in Binary Compressed Sensing via Annealing with Adaptive Regularization
20. From Scattered Phase-Space Observations to an Empirical Fokker-Planck Equation: A Delaunay-Voronoi finite-volume construction