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

本研究将利用渐近分析方法设计一些奇异摄动对流-反应-扩散方程的有效数值方法。该方法允许在涉及多尺度的问题中进行渐近预处理和知情域分解。这项工作将有助于提高化学和化学工程问题的计算能力。这些方程的应用包括反应低粘度流体。

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.