Exponential Rosenbrock Methods and Their Application in Visual Computing

Exponential Rosenbrock Methods and Their Application in Visual Computing
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DOI:
10.1007/978-3-030-76810-2_3
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发表时间:
2018-05
期刊:
Rosenbrock—Wanner–Type Methods
影响因子:
--
通讯作者:
Vu Thai Luan;D. Michels
Vu Thai Luan;D. Michels
中科院分区:
其他
文献类型:
--
作者:
Vu Thai Luan;D. Michels

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我们引入了一类显式指数 Rosenbrock 方法,用于大型刚性微分方程系统的时间积分。讨论了它们在视觉计算领域的模拟任务中的应用,其中这些时间积分器与标准技术相比表现出非常有竞争力。特别是,我们致力于弹性和非弹性变形以及碰撞场景的模拟,重点关注稳定性和节能、大刚度、高保真度和视觉准确性等相关方面。
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.