General aspects of polynomial interpolation theory. Formulations in different basis, e.g. Lagrange, Newton etc. and their approximation and computational properties ...
Optimization methods form the backbone of numerical analysis, enabling the efficient solution of problems across engineering, data science, physics and beyond. At their core lie gradient-based ...
In this research field we are developing advanced computational methods centered around efficient solution strategies for partial differential equations. In numerical analysis, we focus on developing ...
Boundary integral equation methods recast partial differential equations into integral equations over domain boundaries, reducing dimensionality and focusing computational effort on interfaces. These ...