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math.NA2024
A robust first order meshfree method for time-dependent nonlinear conservation laws
Samuel Kwan, Jesse Chan
We introduce a robust first order accurate meshfree method to numerically solve time-dependent nonlinear conservation laws. The main contribution of this work is the meshfree const…
math.NA2023
Pseudodifferential Models for Ultrasound Waves with Fractional Attenuation
Sebastian Acosta, Jesse Chan, Raven Johnson +1
To strike a balance between modeling accuracy and computational efficiency for simulations of ultrasound waves in soft tissues, we derive a pseudodifferential factorization of the…