Latest Research in Numerical Analysis

Top Research Topics in Numerical Analysis

• Numerical Analysis — 14 papers
• Analysis of PDEs — 4 papers
• Probability — 4 papers
• Advanced Numerical Methods in Computational Mathematics — 2 papers
• Numerical methods in inverse problems — 2 papers
• Fractional Differential Equations Solutions — 2 papers
• Dynamical Systems — 1 papers
• Navier-Stokes equation solutions — 1 papers
• Stochastic processes and financial applications — 1 papers
• Stability and Controllability of Differential Equations — 1 papers

Highest-Cited Papers

1. The Burgers-FKPP advection-reaction-diffusion equation with cut-off
2. Sensitivity Calculus and its Numerical Implementation for Multi-D Hyperbolic Balance Laws
3. The vanishing latent heat limit of a stochastic Stefan problem : An error estimate
4. Error Bounds for Boundary-Stopped Positive Cubature Schemes for Hamilton--Jacobi--Bellman Equations
5. Sharp Error Estimates for a Fully Discrete Finite Element Method for Semilinear SPDEs with Multiplicative Noise and Nonsmooth Initial Data
6. Space-time finite element interpolation of nonsmooth functions satisfying boundary conditions
7. Averaging principles for nonautonomous multiscale stochastic Burgers equations with reflection
8. Convergence of finite element approximations for the one-dimensional stochastic Burgers equation with additive trace-class noise
9. Logarithmic Stability for an Inverse Source Problem in a Coupled Nonlinear Helmholtz System
10. Range expansion by growth and congestion
11. Infinite Ensemble Formulation of the Navier–Stokes Equations Potential–Vortical Decomposition, Galerkin Projection, and Energy Estimates
12. Nonconforming virtual element method for the Monge-Ampère equation
13. A numerical method for two-dimensional Boussinesq-Full Dispersion systems modelling internal wave propagation
14. Quantitative propagation of chaos for particle systems with memory and their long-time behaviour
15. Isogeometric $C^1$ mortar method
16. Superdiffusion and anomalous regularization in self-similar random incompressible flows
17. Strong convergence of finite element schemes for the stochastic Landau--Lifshitz--Bloch equation
18. Efficient $C^1$ Bernstein Quasi-Trefftz Discretization for Heterogeneous High-Frequency Helmholtz Problems
19. Optimal Order Time Discretizations for Stochastic Semilinear Wave Equations with Multiplicative Noise
20. Error Indicators and Adaptivity for a Least-Squares Method Applied to the Monge-Ampère Equation