Differential Equations and Numerical Methods

Differential Equations and Numerical Methods is a research topic within Numerical Analysis. Science Explorer counts 36k research works in it since 1950. 10.0% of them reached the world's top 10% most cited for their field and year.

This cluster of papers focuses on numerical methods and analysis for solving singularly perturbed problems, particularly in the context of convection-diffusion and reaction-diffusion equations. The research covers topics such as boundary layers, finite difference schemes, asymptotic analysis, parameter-robust methods, and adaptive meshes to accurately solve these challenging problems.

• Singular Perturbation
• Numerical Methods
• Convection-Diffusion Problems
• Boundary Layers
• Finite Difference Schemes
• Asymptotic Analysis
• Parameter-Robust Methods
• Reaction-Diffusion Equations
• Adaptive Meshes
• Error Analysis