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09/11/2023
When ChatGPT Meets Smart Contract Vulnerability Detection: How Far Are We?
With the development of blockchain technology, smart contracts have beco...
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04/29/2023
A spectral method for a Fokker-Planck equation in neuroscience with applications in neural networks with learning rules
In this work, we consider the Fokker-Planck equation of the Nonlinear No...
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02/18/2023
Solving Boltzmann equation with neural sparse representation
We consider the neural sparse representation to solve Boltzmann equation...
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01/14/2023
Hermite spectral method for the inelastic Boltzmann equation
We propose a Hermite spectral method for the inelastic Boltzmann equatio...
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05/25/2022
Highly efficient energy-conserving moment method for the multi-dimensional Vlasov-Maxwell system
We present an energy-conserving numerical scheme to solve the Vlasov-Max...
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03/08/2022
Hermite spectral method for multi-species Boltzmann equation
We introduce a numerical scheme for the full multi-species Boltzmann equ...
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10/21/2021
Q-tensor gradient flow with quasi-entropy and discretizations preserving physical constraints
We propose and analyze numerical schemes for the gradient flow of Q-tens...
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10/07/2021
Learning invariance preserving moment closure model for Boltzmann-BGK equation
As one of the main governing equations in kinetic theory, the Boltzmann ...
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02/17/2021
Numerical Solver for the Boltzmann Equation With Self-Adaptive Collision Operators
We solve the Boltzmann equation whose collision term is modeled by the h...
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08/15/2020
An asymptotic-preserving IMEX method for nonlinear radiative transfer equation
We present an asymptotic preserving method for the radiative transfer eq...
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10/21/2017