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math.DS2024
Local Trajectory Variation Exponent (LTVE) for Visualizing Dynamical Systems
Yun Chen Tsai, Shingyu Leung
The identification and visualization of Lagrangian structures in flows plays a crucial role in the study of dynamic systems and fluid dynamics. The Finite Time Lyapunov Exponent (F…
math.NA2024
Hadamard integrators for wave equations in time and frequency domain: Eulerian formulations via butterfly algorithms
Yuxiao Wei, Jin Cheng, Shingyu Leung +2
Starting from the Kirchhoff-Huygens representation and Duhamel's principle of time-domain wave equations, we propose novel butterfly-compressed Hadamard integrators for self-adjoin…