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math.NA2022★ 4 cited
VarRCWA: An Adaptive High-Order Rigorous Coupled Wave Analysis Method
Ziwei Zhu, Changxi Zheng
Semi-analytical methods, such as rigorous coupled wave analysis, have been pivotal for numerical analysis of photonic structures. In comparison to other methods, they offer much fa…
math.NA2013★ 1 cited
A fast implicit method for time-dependent Hamilton-Jacobi PDEs
Alexander Vladimirsky, Changxi Zheng
We present a new efficient computational approach for time-dependent first-order Hamilton-Jacobi-Bellman PDEs. Since our method is based on a time-implicit Eulerian discretization,…