Latest Research in Numerical methods for differential equations

Top Research Topics in Numerical methods for differential equations

• Numerical Analysis — 15 papers
• Fractional Differential Equations Solutions — 5 papers
• Numerical methods for differential equations — 4 papers
• Probability — 3 papers
• Model Reduction and Neural Networks — 2 papers
• Statistics Theory — 2 papers
• Optimization and Control — 2 papers
• Polynomial and algebraic computation — 1 papers
• Image and Signal Denoising Methods — 1 papers
• Advanced Numerical Methods in Computational Mathematics — 1 papers

Highest-Cited Papers

1. From Proportional Rectangles to Sampled Analog Root Computation
2. Existence, Uniqueness, and Numerical Experiments for a Caputo Fractional PDE With Variable‐Exponent Diffusion in Image Denoising
3. Regularity and Numerical Analysis of Multi‐Term General Fractional Advection‐Diffusion Equations With Scale and Weight Dependencies
4. An efficient radial basis function-finite difference method for high-order partial differential equations on surfaces
5. Can one hear the shape of a crack in a drum? Spectral fingerprints and a data-driven perspective
6. An Optimized Two-Step Hybrid Block Method with One Optimized and Three Free Parameter Hybrid Points for the Numerical Solution of Volterra Integral Equations of the Second Kind
7. Numerical Methods for Ordinary Differential Equations: A Comprehensive Study of Euler, Runge-Kutta, and Multistep Methods with Truncation Error Analysis, Stability Theory, and Phase Portrait Visualisation
8. Numerical Methods for Ordinary Differential Equations: A Comprehensive Study of Euler, Runge-Kutta, and Multistep Methods with Truncation Error Analysis, Stability Theory, and Phase Portrait Visualisation
9. The sharp CFL condition of the piecewise constant sparse grid discontinuous Galerkin method for high-dimensional transport equations
10. Superconvergence of Centered Finite Difference Approximations
11. High‐Order Singularity‐Corrected Sum‐of‐Exponentials Product Integration for Second‐Kind Fractional Volterra Equations With Modulated Weakly Singular Kernels
12. SBP-FDEC: Summation-by-Parts Finite Difference Exterior Calculus
13. On the Application of an Intertwined Difference Equations and Newton-Lieberstein Algorithmic to Solve Mildly Non-linear Boundary Value Problems (MNBVP)
14. An Optimal IPDG Scheme for the Biharmonic Equation
15. A Unified Two-Grid Framework for Anderson Acceleration and Nonlinear GMRES
16. Multistep Methods for Floquet Multipliers and Subspaces
17. A Second-Order Method for Locating Critical Points of Prescribed Index on Energy Landscapes
18. Identical Local Data and Spectra, Different Navier–Stokes Dynamics: Constructive non-identifiability and sharp pressure-recovery bounds
19. Bayesian inference for the fractional Calderón problem with a single measurement
20. On the maximum visibility in a ball through the vacant set of Poissonian obstacles