Latest Research in Analysis of PDEs

Top Research Topics in Analysis of PDEs

• Numerical Analysis — 34 papers
• Analysis of PDEs — 5 papers
• Dynamical Systems — 3 papers
• Numerical methods in engineering — 2 papers
• Chaotic Dynamics — 2 papers
• Chaos control and synchronization — 2 papers
• Nonlinear Dynamics and Pattern Formation — 2 papers
• Statistical Mechanics — 2 papers
• stochastic dynamics and bifurcation — 2 papers
• Fractal and DNA sequence analysis — 2 papers

Highest-Cited Papers

1. Accurate Treatment of Solution and Flux Discontinuities in 2D Time-Dependent Interface Problems via Meshless Method
2. Improved third-order weighted essentially non-oscillatory scheme for transient pipe flow with unsteady friction
3. Chaos suppression via adaptive feedback control of intermittency: From exactly solvable ergodic maps to interacting microbubble clusters
4. From Biological Fractal Dynamics to Analog Fractional‐Order Circuits: A System Design Framework Based on Operatorization Thought
5. Anisotropic space-time goal-oriented error control and mesh adaptivity for convection-diffusion-reaction equations
6. Boundary Observability Posting
7. Efficient Uncertainty Quantification for Stochastic Reaction–Diffusion Equations: A Time-Splitting Spectral Method Based on WCE–Karhunen–Loève Expansion
8. Implicit-explicit and split-explicit super-time-stepping methods
9. Subspace decomposition with defect diffusion coefficient
10. Asymptotic Flocking Behavior in Particle and Kinetic Systems with biological Memory Term
11. Semi-Analytical Solutions of the Schnakenberg Model in a Circularly Symmetric Reaction–Diffusion Annulus
12. High-order WENO-based semi-implicit Newton-type fast sweeping methods for static Hamilton-Jacobi equations
13. A correction function-based kernel-free boundary integral method for elliptic PDEs with implicitly defined interfaces
14. Adaptive Grid Designs for Classifying Monotonic Binary Deterministic Computer Simulations
15. A Meshfree Particle Difference Method for Efficient Numerical Simulation of Prevention of Groundwater Contamination
16. A decoupled meshless Nyström scheme for 2D Fredholm integral equations of the second kind with smooth kernels
17. Augmented Lagrangian preconditioners for fictitious domain formulations of elliptic interface problems
18. Dynamical and Numerical Analysis of Nonlinear Diffusion Models Using Lie Symmetry and PINN
19. From Exponential to Gaussian Tails: Fractal Wavefront Scaling and the $κ$-Weibull Distribution at Phase Transitions
20. An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations