Xia, Mingtao
- PDE models of adder mechanisms in cellular proliferation
2020/03/27 by Mingtao Xia, Chris Greenman, Xia, Mingtao +3 · 4 citations
Biochemistry, Genetics and Molecular Biology · Mathematics · #Gene Regulatory Network Analysis #Mathematical Biology Tumor Growth #Stochastic processes and statistical mechanics
- Spectrally Adapted Physics-Informed Neural Networks for Solving Unbounded Domain Problems
2022/02/06 by Xia, Mingtao, Böttcher, Lucas, Chou, Tom · 1 citation
#35P05 #68T07 #68W50 #Analysis of PDEs (math.AP) #F.2.1 #FOS: Computer and information sciences #FOS: Mathematics #G.1 #J.2 #Machine Learning (cs.LG) #Numerical Analysis (math.NA)
- Efficient Scaling and Moving Techniques for Spectral Methods in Unbounded Domains
2020/09/28 by Mingtao Xia, Xia, Mingtao, Sihong Shao +3 · 2 citations
Earth and Planetary Sciences · Computer Science · #Ocean Waves and Remote Sensing #Advanced Mathematical Modeling in Engineering #Meteorological Phenomena and Simulations
- A frequency-dependent p-adaptive technique for spectral methods
2020/09/30 by Mingtao Xia, Sihong Shao, Xia, Mingtao +3 · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Computational Physics (physics.comp-ph) #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #FOS: Physical sciences #Fractional Differential Equations Solutions #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Quantum Physics (quant-ph)
- Kinetic theories of state- and generation-dependent cell populations
2024/03/08 by Xia, Mingtao, Chou, Tom · 1 citation
#FOS: Biological sciences #FOS: Physical sciences #Populations and Evolution (q-bio.PE) #Quantitative Methods (q-bio.QM) #Statistical Mechanics (cond-mat.stat-mech)
- Adaptive Hermite Spectral Methods in Unbounded Domains
2022/03/29 by Tom Chou, Sihong Shao, Chou, Tom +3 · 1 citation
Computer Science · Engineering · Physics and Astronomy · #41A05 #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Image and Signal Denoising Methods #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Primary 65M70 #Secondary 33C45
- Adaptive Hyperbolic-cross-space Mapped Jacobi Method on Unbounded Domains with Applications to Solving Multidimensional Spatiotemporal Integrodifferential Equations
2024/04/11 by Deng, Yunhong, Shao, Sihong, Mogilner, Alex +1 · 1 citation
#FOS: Mathematics #Numerical Analysis (math.NA)
- Reconstructing Noisy Gene Regulation Dynamics Using Extrinsic-Noise-Driven Neural Stochastic Differential Equations
2025/03/12 by Jiancheng Zhang, Xiangting Li, Zhang, Jiancheng +14 · 1 citation
Biochemistry, Genetics and Molecular Biology · #FOS: Biological sciences #Gene Regulatory Network Analysis #Quantitative Methods (q-bio.QM)