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08/29/2023
Optimal error bounds on time-splitting methods for the nonlinear Schrödinger equation with low regularity potential and nonlinearity
We establish optimal error bounds on time-splitting methods for the nonl...
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03/25/2023
Diverse Motion In-betweening with Dual Posture Stitching
In-betweening is a technique for generating transitions given initial an...
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10/28/2022
Regularized numerical methods for the nonlinear Schrödinger equation with singular nonlinearity
We present different regularizations and numerical methods for the nonli...
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09/22/2021
Error bounds of fourth-order compact finite difference methods for the Dirac equation in the massless and nonrelativistic regime
We establish the error bounds of fourth-order compact finite difference ...
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04/29/2021
Error estimates of finite difference methods for the Dirac equation in the massless and nonrelativistic regime
We present four frequently used finite difference methods and establish ...
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01/25/2020
Lattice-based Improvements for Voice Triggering Using Graph Neural Networks
Voice-triggered smart assistants often rely on detection of a trigger-ph...
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10/27/2019
A Jacobi spectral method for computing eigenvalue gaps and their distribution statistics of the fractional Schrödinger operator
We propose a spectral method by using the Jacobi functions for computing...
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07/17/2018
Penalized matrix decomposition for denoising, compression, and improved demixing of functional imaging data
Calcium imaging has revolutionized systems neuroscience, providing the a...
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05/01/2018