Latest Research in Numerical Analysis

Top Research Topics in Numerical Analysis

• Analysis of PDEs — 75 papers
• Probability — 23 papers
• Numerical Analysis — 10 papers
• Stability and Controllability of Differential Equations — 5 papers
• Mathematical Biology Tumor Growth — 5 papers
• Dynamical Systems — 4 papers
• Navier-Stokes equation solutions — 3 papers
• Nonlinear Partial Differential Equations — 3 papers
• Mathematical and Theoretical Epidemiology and Ecology Models — 3 papers
• Optimization and Control — 3 papers

Highest-Cited Papers

1. Synchronization and Averaging in Partially Hyperbolic Systems with Fast and Slow Variables
2. Asymptotic Transitions Between Airy, Pearcey, and Sine Kernels in Random Matrix Theory — E8 Intelligence Research
3. How much dissipation can a multiscale layer cascade carry?
4. A gradient flow for the porous medium equations with Dirichlet boundary conditions (1 citations)
5. Local well-posedness, potential-well stability, and negative-energy blow-up for a semilinear thermoelastic system with variable coefficients
6. Local well-posedness, potential-well stability, and negative-energy blow-up for a semilinear thermoelastic system with variable coefficients
7. On an inverse boundary problem in elastodynamics
8. A functional analytic theory for differential equations on Banach spaces with slowly evolving parameters
9. Fractional Boundary Value Problems and elastic sticky Brownian motions, II: Non-local dynamic boundary conditions on smooth domains
10. An inverse problem for semilinear elliptic equations with generalized Kerr-type nonlinearities
11. Discontinuity of the Vlasov--Poisson Flow in $L_x^pL_v^\infty$
12. A porous medium equation with dominating weighted absorption: three types of self-similar solutions
13. Convergence of Densities for the Euler--Maruyama Approximation of Brownian-Driven McKean--Vlasov Equations
14. Existence of strong initial traces for stochastic conservation laws
15. Quenched functional central limit theorem for the random conductance model under minimal moments
16. Inverse coefficient problem for the wave equation with nonlocal attenuation
17. Relaxation and Steady-State Entropy Production for Langevin SPDEs: A Dirichlet-Form Approach
18. The natural components of an autoregressive time series on Banach space
19. Convergence Analysis of a Numerical Algorithm for Spatial Segregation of Two Population Densities
20. On the Global Well-Posedness of a Non-Autonomous Reaction–Diffusion–Advection System Stemming from Alzheimer’s Modeling