Latest Research in Advanced Numerical Methods in Computational Mathematics

Top Research Topics in Advanced Numerical Methods in Computational Mathematics

• Numerical Analysis — 22 papers
• Advanced Numerical Methods in Computational Mathematics — 3 papers
• Machine Learning — 1 papers
• Numerical methods for differential equations — 1 papers
• Markov Chains and Monte Carlo Methods — 1 papers
• Differential Equations and Numerical Methods — 1 papers
• General Relativity and Quantum Cosmology — 1 papers
• Nonlinear Dynamics and Pattern Formation — 1 papers
• Chaos control and synchronization — 1 papers
• Computability, Logic, AI Algorithms — 1 papers

Highest-Cited Papers

1. Error estimates for vector field interpolation based on generalized matrix-valued kernels
2. Physics-informed reduced-order modelling with equivariant spectral submanifolds
3. Logarithmic Resonance at Mixed Boundary Junctions in Gradient-Dependent Semilinear Equationsv
4. An L-Stable Sequential Two-Stage Fourth-Order Method with ADER Trajectory Derivatives for Stiff Transport--Relaxation Systems
5. A Least-Squares Weak Galerkin Method for the Biharmonic Cauchy Problem
6. Closed-Form Orbits for a Six-Parameter 3D Dynamical System Using the Multistage Optimal Homotopy Perturbation Method
7. hp Analysis of Nitsche’s method for Maxwell’s problem using a stabilised finite element formulation
8. Numerical Methods for Dynamical Low-Rank Approximations of Stochastic Differential Equations -- Part II: Stochastic discretization
9. Certified Seventh-Order Two-Derivative Hermite Deferred Correction via Node-Sweep Co-Design
10. Periodic B-spline-Heaviside collocation for Fredholm integral equations with piecewise Hölder data
11. FEM for singularly perturbed stationary drift-diffusion equations with boundary layers
12. On The Numerical Accuracy of The Discontinuous Galerkin Method In The Presence of Right-Hand Side Discontinuities
13. Exact Total Variation Minimizers as Non-Oscillatory Limiters in High-Order Methods for Conservation Laws
14. Stabilization and optimal $L^2$ convergence of Dziuk's method with piecewise linear parametric finite elements for curve-shortening flow
15. Upwind embedded boundary SBP operators: New high order numerical schemes for arbitrarily shaped domains with Cartesian grids
16. Hyperbolicity-Preserving Stochastic Galerkin Methods for Conservation Laws Based on Associative Truncated Products on Polynomial Spaces
17. Singularity formation in electrified vortex sheets
18. Subtracted Chaos: A Linear Variance Collapse Framework
19. Error analysis of a fully discrete structure-preserving finite element scheme for a diffuse-interface model of tumour growth
20. Feigenbaum Constant δ: Universal Scaling in Period-Doubling Chaos — E8 Intelligence Research