Nathaniel Trask

1. Thermodynamically consistent physics-informed neural networks for hyperbolic systems
   2020/12/09 by Ravi G. Patel, Indu Manickam, Patel, Ravi G. +11 · 7 citations
   Physics and Astronomy · Engineering · #Model Reduction and Neural Networks #Fluid Dynamics and Turbulent Flows #Lattice Boltzmann Simulation Studies
2. Structure-preserving Sparse Identification of Nonlinear Dynamics for Data-driven Modeling
   2021/09/11 by Kookjin Lee, Lee, Kookjin, Nathaniel Trask +3 · 7 citations
   Physics and Astronomy · Engineering · #Model Reduction and Neural Networks #Control Systems and Identification #Structural Health Monitoring Techniques
3. Machine learning structure preserving brackets for forecasting irreversible processes
   2021/06/23 by Kookjin Lee, Lee, Kookjin, Nathaniel Trask +3 · 6 citations
   Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Computational Physics (physics.comp-ph) #FOS: Computer and information sciences #FOS: Physical sciences #Machine Learning (cs.LG) #Model Reduction and Neural Networks #Protein Structure and Dynamics
4. A high-order staggered meshless method for elliptic problems
   2016/10/19 by Nathaniel Trask, Mauro Perego, Trask, Nathaniel +3 · 3 citations
   Engineering · #Numerical methods in engineering #Advanced Numerical Methods in Computational Mathematics #Dam Engineering and Safety
5. A compatible high-order meshless method for the Stokes equations with applications to suspension flows
   2016/11/11 by Nathaniel Trask, Trask, Nathaniel, Martin Maxey +3 · 2 citations
   Engineering · #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics Simulations and Interactions #Lattice Boltzmann Simulation Studies #Numerical Analysis (math.NA) #Numerical methods in engineering #Soft Condensed Matter (cond-mat.soft)
6. An asymptotically compatible meshfree quadrature rule for non-local\n problems with applications to peridynamics
   2018/01/13 by Nathaniel Trask, Trask, Nathaniel, Huaiqian You +5 · 1 citation
   Engineering · #Computational Physics (physics.comp-ph) #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #FOS: Physical sciences #Geotechnical Engineering and Underground Structures #Numerical Analysis (math.NA) #Numerical methods in engineering
7. An Asymptotically Compatible Approach For Neumann-Type Boundary Condition On Nonlocal Problems
   2019/08/11 by Huaiqian You, You, Huaiqian, Xin Lü +5 · 1 citation
   Engineering · Mathematics · #Numerical methods in engineering #Advanced Numerical Methods in Computational Mathematics #Fractional Differential Equations Solutions
8. Asymptotically compatible reproducing kernel collocation and meshfree integration for nonlocal diffusion
   2019/07/28 by Yu Leng, Xiaochuan Tian, Leng, Yu +5 · 1 citation
   Engineering · #Advanced Numerical Methods in Computational Mathematics #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in engineering
9. Graph Convolutions Enrich the Self-Attention in Transformers!
   2023/12/07 by Jeongwhan Choi, Choi, Jeongwhan, Hyowon Wi +10 · 3 citations
   Computer Science · #Advanced Graph Neural Networks #Topic Modeling #Sentiment Analysis and Opinion Mining
10. A Structure-Preserving Domain Decomposition Method for Data-Driven Modeling
    2024/06/08 by Shuai Jiang, Jonas Actor, Jiang, Shuai +5 · 3 citations
    Computer Science · #Model-Driven Software Engineering Techniques
11. A block coordinate descent optimizer for classification problems\n exploiting convexity
    2020/06/17 by Ravi G. Patel, Nathaniel Trask, Patel, Ravi G. +5 · 1 citation
    Computer Science · Engineering · #3D Shape Modeling and Analysis #Advanced Numerical Analysis Techniques #FOS: Computer and information sciences #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Optical measurement and interference techniques