Latest Research in Numerical Analysis

Top Research Topics in Numerical Analysis

• Numerical Analysis — 74 papers
• Analysis of PDEs — 9 papers
• Probability — 6 papers
• Advanced Numerical Methods in Computational Mathematics — 5 papers
• Statistical Mechanics — 4 papers
• Solidification and crystal growth phenomena — 3 papers
• Nonlinear Waves and Solitons — 3 papers
• Quantum Mechanics and Non-Hermitian Physics — 3 papers
• Theoretical and Computational Physics — 3 papers
• Optimization and Control — 2 papers

Highest-Cited Papers

1. Conserving mass, momentum, and energy for the Benjamin-Bona-Mahony, Korteweg-de Vries, and nonlinear Schrödinger equations
2. Splitting-strategies for arbitrary-order fully mixed finite element discretizations of the Biot equations
3. Multiscale Modeling for Time-harmonic Maxwell equations with impedance boundary conditions in highly heterogeneous media
4. Global bifurcation of localised 2D patterns emerging from spatial heterogeneity
5. Defect Subspaces and Localized Instabilities in Cut-Cell Finite-Volume Operators
6. A structure--preserving ALE--BGN--MDR method for Navier--Stokes free boundary problems with moving contact lines and gravity
7. Error analysis of an asymptotic-preserving, energy-stable finite volume method for barotropic Euler equations
8. Local Discontinuous Galerkin method for the prescribed mean curvature equation
9. Selection criteria for the compressible Euler equations: numerical study
10. Fully discrete analysis of pressure-robust enriched Galerkin methods for the time-dependent Stokes equations
11. An $H^{-1}$ least-squares UnCut FEM on domains defined by a level set function
12. Discontinuous Galerkin Semidiscretization of the Information Geometric Regularized Compressible Euler Equations
13. A posteriori error analysis for the second-order BDF method for the Landau-Lifshitz-Gilbert equation
14. Stable and Efficient One-Way Modelling of Convective Disturbances in Laminar Boundary Layers: OWNS-Summation
15. Space-Time Finite Element Approximation of Quasilinear Hyperbolic Equations Arising in Dynamic Strain-Limiting Elasticity
16. A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations
17. A Relaxed Lagrange Multiplier Approach for Phase Field Models
18. Freidlin-Wentzell collision-laws between self-stabilizing diffusions
19. Structure-Preserving Generalized Manifold Galerkin Reduction for Port-Hamiltonian Systems
20. Structure-Preserving Dynamical Low-Rank Approximations for Stochastic Vlasov--Poisson Equations