Explicit Exponential Rosenbrock Methods and their Application in Visual Computing
This work provides a new numerical method for efficiently simulating complex physical phenomena in visual computing, addressing stability and accuracy challenges.
The paper introduces explicit exponential Rosenbrock methods for stiff differential equations and demonstrates their competitiveness in visual computing simulations, achieving improved stability and energy conservation for elastic/nonelastic deformations and collision scenarios.
We introduce a class of explicit exponential Rosenbrock methods for the time integration of large systems of stiff differential equations. Their application with respect to simulation tasks in the field of visual computing is discussed where these time integrators have shown to be very competitive compared to standard techniques. In particular, we address the simulation of elastic and nonelastic deformations as well as collision scenarios focusing on relevant aspects like stability and energy conservation, large stiffnesses, high fidelity and visual accuracy.