Curvature equations lie at the heart of differential geometry and the analysis of hypersurfaces, providing a rigorous framework for understanding the intrinsic and extrinsic geometric properties of ...

Geometric partial differential equations of level-set form are usually constructed by a variational method using either Dirac delta function or co-area formula in the energy functional to be minimized ...

In this paper, we consider the discrete power function associated with the sixth Painlevé equation. This function is a special solution of the so-called crossratio equation with a similarity ...

A relationship between natural or manmade elements that is used in every discipline except circuit logic. Algebraic and geometric equations are at the heart of scientific research and practice from ...

The members of the group Geometric Analysis and Quasiconformal Geometry have broad interests in analysis and geometry. Active research topics include quasiconformal analysis and partial differential ...

In the mid-19th century, Bernhard Riemann conceived of a new way to think about mathematical spaces, providing the foundation ...

In our modern world in which scientific visualizations increasingly look like Hollywood movies and even simplistic visualizations for teaching are using gaming engines and GPU-accelerated renderers to ...