Research Overview
My research focuses on developing mathematical models to solve complex real-world problems and the numerical methods needed to solve these models. Some of my key research areas include:
- Numerical methods for partial differential equations, including the Finite Element Method, Finite Difference Method, Finite Volume Method, Boundary Integral Method, and Fourier Spectral Method.
- Water wave theory, solitons, breathers, and equations such as KdV, NLS, and KP, covering both numerical and asymptotic analysis, as well as wind-driven water wave motion.
- Environmental modeling and simulation, including great flood simulations in Thailand using the Finite Volume Method.
- Machine learning models and applications, including anomaly detection in hydrological data and applications in biomedical data.