About
Experienced Software Engineer with a demonstrated history of working in the internet…
Activity
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Today, I spent time creating some tickets for myself. Since I have all the context and don’t need to assign them to others, I could have kept the…
Today, I spent time creating some tickets for myself. Since I have all the context and don’t need to assign them to others, I could have kept the…
Liked by Hongxu Liu
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A manager can only be good if she works with the best people. Thanks Sara Balaban and the Taboola team!
A manager can only be good if she works with the best people. Thanks Sara Balaban and the Taboola team!
Liked by Hongxu Liu
Experience
Education
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Stony Brook University
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Activities and Societies: Stony Brook Table Tennis Club
Computational Applied Mathematics track
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Licenses & Certifications
Publications
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WLS-ENO: Weighted-Least-Squares Based Essentially Non-Oscillatory Schemes for Finite Volume Methods on Unstructured Meshes
Journal of Computational Physics
We propose a new family of non-oscillatory schemes, called WLS-ENO, in the context of solving hyperbolic conservation laws using finite-volume methods over unstructured meshes. This scheme does not require constructing sub-stencils, and hence it provides a more flexible framework and is less sensitive to mesh quality. We present rigorous analysis of the accuracy and stability of WLS-ENO, and present numerical results in 1-D, 2-D, and 3-D for a number of benchmark problems, and also report some…
We propose a new family of non-oscillatory schemes, called WLS-ENO, in the context of solving hyperbolic conservation laws using finite-volume methods over unstructured meshes. This scheme does not require constructing sub-stencils, and hence it provides a more flexible framework and is less sensitive to mesh quality. We present rigorous analysis of the accuracy and stability of WLS-ENO, and present numerical results in 1-D, 2-D, and 3-D for a number of benchmark problems, and also report some comparisons against WENO.
Other authors
Courses
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Analysis of Algorithm
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Analytical Methods for AMS
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C Programming
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Computational Geometry
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Data Structure
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Linear Programming
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Numerical Analysis
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Numerical Partial Differential Equations
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Probability
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Projects
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Weighted-Least-Squares Based Essentially Non-Oscillatory Schemes for Generalized Finite Difference Methods on Unstructured Meshes
- Present
● Developed WLS-ENO finite difference schemes which are the first type of finite difference schemes for unstructured meshes by combining the ideas of several available schemes
● Analyzed and proved the accuracy and stability of WLS-ENO finite difference schemes
● Improved the efficiency of WLS-ENO finite difference schemes, resulting in 15 times faster runtime than WENO finite volume schemes on unstructured meshes
● Implemented the algorithm and achieved the good performance on…● Developed WLS-ENO finite difference schemes which are the first type of finite difference schemes for unstructured meshes by combining the ideas of several available schemes
● Analyzed and proved the accuracy and stability of WLS-ENO finite difference schemes
● Improved the efficiency of WLS-ENO finite difference schemes, resulting in 15 times faster runtime than WENO finite volume schemes on unstructured meshes
● Implemented the algorithm and achieved the good performance on unstructured meshes -
WLS-ENO: Weighted-Least-Squares Based Essentially Non-Oscillatory Schemes for Finite Volume Methods on Unstructured Meshes
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● Developed WLS-ENO finite volume schemes for solving PDEs with discontinuities by generalizing specially designed and widely used WENO schemes in a more systematic way
● Addressed the instability and mesh quality dependence of WENO schemes by analyzing and proving the stability and accuracy of WLS-ENO finite volume schemes
● Implemented the algorithm using Matlab and C++ and compared the performance with WENO finite volume schemes, concluding that WLS-ENO schemes can deliver better…● Developed WLS-ENO finite volume schemes for solving PDEs with discontinuities by generalizing specially designed and widely used WENO schemes in a more systematic way
● Addressed the instability and mesh quality dependence of WENO schemes by analyzing and proving the stability and accuracy of WLS-ENO finite volume schemes
● Implemented the algorithm using Matlab and C++ and compared the performance with WENO finite volume schemes, concluding that WLS-ENO schemes can deliver better accuracy and stability than WENO finite volume schemes by 90% and 21% respectively
Languages
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Chinese(Mandarin)
Native or bilingual proficiency
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English
Professional working proficiency
Organizations
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Institute of Advanced Computational Science
Research Assistant
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Stony Brook University
Research Assistant
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More activity by Hongxu
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Short and sweet. It also has a good summary of the tools tried.Just finished the course “How to Use Generative AI: Building an AI-First Mindset” by…
Short and sweet. It also has a good summary of the tools tried.Just finished the course “How to Use Generative AI: Building an AI-First Mindset” by…
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What should you do if your dream school puts you on the waiting list? Should you wait until the end of May? Uncertainty is the hardest to deal…
What should you do if your dream school puts you on the waiting list? Should you wait until the end of May? Uncertainty is the hardest to deal…
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Serendipity was common at #SXSW2024. My biggest one was waiting in line and seated together for Strategic Foresight’s Sunday session with Carrie…
Serendipity was common at #SXSW2024. My biggest one was waiting in line and seated together for Strategic Foresight’s Sunday session with Carrie…
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Pretty cool! Very excited for everything on the 2024 roadmap!
Pretty cool! Very excited for everything on the 2024 roadmap!
Liked by Hongxu Liu
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What gifts from the tech world do you find most intriguing this Christmas? Here are mine: 1. Bard extensions as personal assistants: Flights…
What gifts from the tech world do you find most intriguing this Christmas? Here are mine: 1. Bard extensions as personal assistants: Flights…
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Just finished the course “Business Analysis Foundations: Strategy Analysis” by Laura Paton MBA CBAP, PMI-PBA, IIBA-AAC! Check it out:…
Just finished the course “Business Analysis Foundations: Strategy Analysis” by Laura Paton MBA CBAP, PMI-PBA, IIBA-AAC! Check it out:…
Liked by Hongxu Liu
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An exceptional course that provided in-depth discussions on real-world examples. The class poll, which tested real ideas implemented by big…
An exceptional course that provided in-depth discussions on real-world examples. The class poll, which tested real ideas implemented by big…
Liked by Hongxu Liu
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I got promoted to blue belt in jiu-jitsu today.
I got promoted to blue belt in jiu-jitsu today.
Liked by Hongxu Liu
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