The dgp Graphics Seminar proudly presents
Dominik L. Michels, KAUST
On the Integration of Stiff Nonlinear Problems
Abstract: We discuss a new integration algorithm for the accurate and efficient solution of stiff non-linear problems governed by the second-order ordinary differential equations, like the simulation of deformable bodies, textiles, and fibers. Traditional methods have the shortcoming that their performances are highly dependent on the numerical stiffness. Advanced state-of-the-art methods in visual computing (like Gautschi-type exponential integrators) are most efficient, if the nonlinearity is moderately stiff. To overcome these limitations, we discuss a new integration method which is based on an exponential treatment of the full nonlinear forcing operator as opposed to more standard Gautschi-type exponential integrators, and the utilization of the concept of stiff accuracy. This results in significant increases of accuracy and efficiency, and allows for more complex and realistic models to be explored without compromising efficiency.
Bio: Dominik L. Michels is currently serving as an Assistant Professor in Computer Science and Applied Mathematics at KAUST, where he is affiliated with the Visual Computing Center. His research is focused on the design of new computational algorithms for the simulation of a variety of natural phenomena. He studied Computer Science and Physics at University of Bonn and B-IT, from where he received a B.Sc. in Computer Science and Physics in 2011, a M.Sc. in Computer Science in 2013, and a Ph.D. in Mathematics and Natural Sciences (Dr.rer.nat.) on Stiff Cauchy Problems in Scientific Computing in early 2014. Among others, he was a postdoctoral scholar in Computing and Mathematical Sciences at Caltech and is an alumnus of the Max Planck Center for Visual Computing and Communication at Stanford University.