Mathematical Sciences: Asymptotic-Numerical Methods for Convection-Diffusion- Reaction Equations

本研究将使用渐近分析设计 一类奇异摄动问题的有效数值方法 对流反应扩散方程 该方法允许 渐近预处理和信息区域分解 涉及多个尺度的问题。 这项工作将有助于提高计算 解决化学和化学工程问题的能力。 这些方程的应用包括反应流体与低 粘度

This research will use asymptotic analysis to design efficient numerical methods for some singularly perturbed convection-reaction-diffusion equations. The approach allows for asymptotic preconditioning and informed domain decomposition in problems involving multiple scales. This work should contribute to improved computational capabilities for problems in chemistry and chemical engineering. Applications of these equations include reacting fluids with low viscosity.