Latest Research in Advanced Numerical Methods in Computational Mathematics

Top Research Topics in Advanced Numerical Methods in Computational Mathematics

• Numerical Analysis — 9 papers
• Fractional Differential Equations Solutions — 4 papers
• Advanced Numerical Methods in Computational Mathematics — 2 papers
• Mathematical Physics — 1 papers
• Analysis of PDEs — 1 papers
• Dynamical Systems — 1 papers
• Optimization and Control — 1 papers
• Statistical Mechanics — 1 papers
• Symbolic Computation — 1 papers
• Differential Equations and Numerical Methods — 1 papers

Highest-Cited Papers

1. Disorder on the hyperbolic square lattice I: Anderson delocalization and absolutely continuous spectrum
2. Numerical simulation of the distributed-order time-fractional mobile–immobile equation by the local radial basis function-compact finite difference method
3. 1D Convection-Diffusion in Porous Media: A Unified Solution from Bounded Domain to Half-Space
4. Picard-Based Acceleration of Newton Continuation for Mean Field Game PDE Systems
5. On a class of supraconvergent Hermite-type methods for advection-diffusion equations
6. Global polynomial approximation of nonlinear functional Volterra-Fredholm equations using the Legendre-Galerkin scheme
7. Neumann-Neumann Waveform Relaxation Method for Hyperbolic PDE with Time Delay
8. On Maximal Delay of Stability Loss for Dynamical Bifurcations
9. A Function-Space Framework for BDDC Preconditioning in Control- and State-Constrained Sparse Optimal Control
10. An Upwind Interior Penalty DG Scheme for Solute Transport in 2D Variable-Order Mobile–Immobile Model
11. Crouzeix--Raviart--Marini realisation of computable a priori $L^2$-error bounds on anisotropic meshes
12. Polytopic symmetric interior-penalty approximation of elliptic SPDEs driven by spatial white noise
13. Diffusion under competing bulk and surface stopping mechanisms
14. Quadratization of Autonomous Partial Differential Equations: Algorithmic Solutions
15. A new single-segment group explicit iteration scheme based on cubic spline approximation for 1D nonlinear parabolic partial differential equations
16. A fitted numerical technique for a class of singularly perturbed delay differential equations
17. Higher Order Multidimensional Slope Limiters with Local Maximum Principles
18. Five-Structures Preserving Algorithm for charge dynamics model
19. Optimal enforcement of natural conditions on smooth boundaries with piecewise polynomials upon fitted straight-edged meshes
20. Error estimates of BDF2 H 1 -Galerkin MFE for parabolic optimal control problems