Crouzeix’s divergence free basis for the Navier-Stokes equation
This is the solution (long read) to a Chapter 11 exercise of the book by Brenner and Scott (Brenner and Scott, 2008). Personally I really like this problem, ...
This is the solution (long read) to a Chapter 11 exercise of the book by Brenner and Scott (Brenner and Scott, 2008). Personally I really like this problem, ...
In the first part, we reviewed a brief history of the mathematics of the Quantum Field Theory (not exhaustively, but enough to get the idea). In this part, w...
Translating the language of physicists to the language of mathematicians.
This note walks through the construction of the stiffness matrix for the finite element approximation of Poisson equation in 2D using the hierarchical basis...
A newbie’s journey of submitting his first ML paper to a top conference.
How to write elegantly fast code to handle cell array with different length vector at each row.
This notes contains some of the notes I used in UC Irvine Math 130C course.
Some detective work on the trace lemmata (and the converse one) for the Sobolev spaces.
本文前半部分是介绍Kaggle的机器学习比赛，后半则是记录今年3月到6月带领几位University of California, Irvine数学系本科生参加由美国洛斯阿拉莫斯国家实验室在Kaggle上组织的地震预测比赛。
In the course project, groups of three students will work together to create regression/classifiers for an in-class Kaggle prediction competition. The compet...
Using Poincare lemma to construct vector field explicitly for Helmholtz decomposition.
Since Google+ is finally to be shut down by Google as of Feb 1, 2019, aside from migrating G+’s social bookmarking functionality to Medium.com and Pocket app...
This short post explores the equivalence between Sobolev norm and Sobolev-Slobodeckij norm for $W^{s,p}(\Omega)$ when $s$ is an integer.
This is a continuation of my previous “complaining” post on the language difference of mathematician vs physicists regarding the same thing.
I took a quantum physics class on Coursera this year and I found that the Mathematical language spoken by the two communities, math vs physics, are quite dif...
Here we present two approaches to construct Helmholtz decompositions.
This is an exercise in Evans, Partial Differential Equations (1st edition), page 164, problem 13.
This is a post recording my answer to a question on Math StackExchange1 with some references in L. Tartar’s book2. https://math.stackexchange...
This is an exercise for finite element method most likely. Our question is:
First about the appropriate boundary condition we would like to impose: The cross product(scalar-$\mathrm{curl}$) in $\mathbb{R}^2$ is done by we embed a vec...
Sobolev embedding When $p=n$
This is an exercise in Evans, Partial Differential Equations (2nd edition), Chapter 10 Conservation laws.
PDE This was the first project after I switched to a PhD program in computational math. The goal of the project is to study the Discontinuous Galerkin (DG) f...
The first part among many on how to implement an FEM natively in PyTorch, taking advantages of the auto-diff, natural data structure and functions supporting...
This is the solution (long read) to a Chapter 11 exercise of the book by Brenner and Scott (Brenner and Scott, 2008). Personally I really like this problem, ...
This note walks through the construction of the stiffness matrix for the finite element approximation of Poisson equation in 2D using the hierarchical basis...
A newbie’s journey of submitting his first ML paper to a top conference.
Some detective work on the trace lemmata (and the converse one) for the Sobolev spaces.
This short post explores the equivalence between Sobolev norm and Sobolev-Slobodeckij norm for $W^{s,p}(\Omega)$ when $s$ is an integer.
Here we present two approaches to construct Helmholtz decompositions.
This is an exercise in Evans, Partial Differential Equations (1st edition), page 164, problem 13.
This is a post recording my answer to a question on Math StackExchange1 with some references in L. Tartar’s book2. https://math.stackexchange...
This is an exercise for finite element method most likely. Our question is:
First about the appropriate boundary condition we would like to impose: The cross product(scalar-$\mathrm{curl}$) in $\mathbb{R}^2$ is done by we embed a vec...
This is an exercise in Evans, Partial Differential Equations (2nd edition), Chapter 10 Conservation laws.
PDE This was the first project after I switched to a PhD program in computational math. The goal of the project is to study the Discontinuous Galerkin (DG) f...
The first part among many on how to implement an FEM natively in PyTorch, taking advantages of the auto-diff, natural data structure and functions supporting...
My experience of using the GitHub copilot as a computational mathematician.
A newbie’s journey of submitting his first ML paper to a top conference.
Configuring Ubuntu to use integrated graphics for display and CUDA for computing, best for a single-GPU setup.
Undervolting an NVIDIA RTX GPU, so that the training can run nonstop with controllable thermos.
Configuring Ubuntu Linux to use integrated graphics for display and CUDA for computing, best for a single-GPU setup.
Assembling of a deep learning workstation with RTX 3090 + 10850k, and how to deal with the bent of the heavy 3090 card.
A random newbie’s story on building an RTX 3090 workstation.
How to write elegantly fast code to handle cell array with different length vector at each row.
I finally decided to migrate various of my old writing in my faculty website at UC Irvine (deactivated as of Oct 2020) a static website generator Jekyll. App...
Matlab finally embraces (partially) the way matrix manipulation should be Starting in MATLAB R2016b with the addition of implicit expansion, some combinatio...
In the course project, groups of three students will work together to create regression/classifiers for an in-class Kaggle prediction competition. The compet...
I created an introductory machine learning class for math undergrad who has no previous exposure to programming back in Winter 2019 quarter. This post will t...
In the first part, we reviewed a brief history of the mathematics of the Quantum Field Theory (not exhaustively, but enough to get the idea). In this part, w...
Translating the language of physicists to the language of mathematicians.
This note walks through the construction of the stiffness matrix for the finite element approximation of Poisson equation in 2D using the hierarchical basis...
A newbie’s journey of submitting his first ML paper to a top conference.
How to write elegantly fast code to handle cell array with different length vector at each row.
Some detective work on the trace lemmata (and the converse one) for the Sobolev spaces.
This short post explores the equivalence between Sobolev norm and Sobolev-Slobodeckij norm for $W^{s,p}(\Omega)$ when $s$ is an integer.
Here we present two approaches to construct Helmholtz decompositions.
This is a post recording my answer to a question on Math StackExchange1 with some references in L. Tartar’s book2. https://math.stackexchange...
First about the appropriate boundary condition we would like to impose: The cross product(scalar-$\mathrm{curl}$) in $\mathbb{R}^2$ is done by we embed a vec...
Sobolev embedding When $p=n$
PDE This was the first project after I switched to a PhD program in computational math. The goal of the project is to study the Discontinuous Galerkin (DG) f...
This is the solution (long read) to a Chapter 11 exercise of the book by Brenner and Scott (Brenner and Scott, 2008). Personally I really like this problem, ...
In the first part, we reviewed a brief history of the mathematics of the Quantum Field Theory (not exhaustively, but enough to get the idea). In this part, w...
Translating the language of physicists to the language of mathematicians.
This note walks through the construction of the stiffness matrix for the finite element approximation of Poisson equation in 2D using the hierarchical basis...
A newbie’s journey of submitting his first ML paper to a top conference.
Some detective work on the trace lemmata (and the converse one) for the Sobolev spaces.
Using Poincare lemma to construct vector field explicitly for Helmholtz decomposition.
Here we present two approaches to construct Helmholtz decompositions.
This is a post recording my answer to a question on Math StackExchange1 with some references in L. Tartar’s book2. https://math.stackexchange...
This is an exercise for finite element method most likely. Our question is:
First about the appropriate boundary condition we would like to impose: The cross product(scalar-$\mathrm{curl}$) in $\mathbb{R}^2$ is done by we embed a vec...
Sobolev embedding When $p=n$
The first part among many on how to implement an FEM natively in PyTorch, taking advantages of the auto-diff, natural data structure and functions supporting...
A newbie’s journey of submitting his first ML paper to a top conference.
Configuring Ubuntu to use integrated graphics for display and CUDA for computing, best for a single-GPU setup.
Undervolting an NVIDIA RTX GPU, so that the training can run nonstop with controllable thermos.
Configuring Ubuntu Linux to use integrated graphics for display and CUDA for computing, best for a single-GPU setup.
Assembling of a deep learning workstation with RTX 3090 + 10850k, and how to deal with the bent of the heavy 3090 card.
A random newbie’s story on building an RTX 3090 workstation.
本文前半部分是介绍Kaggle的机器学习比赛，后半则是记录今年3月到6月带领几位University of California, Irvine数学系本科生参加由美国洛斯阿拉莫斯国家实验室在Kaggle上组织的地震预测比赛。
In the course project, groups of three students will work together to create regression/classifiers for an in-class Kaggle prediction competition. The compet...
I created an introductory machine learning class for math undergrad who has no previous exposure to programming back in Winter 2019 quarter. This post will t...
In the first part, we reviewed a brief history of the mathematics of the Quantum Field Theory (not exhaustively, but enough to get the idea). In this part, w...
Translating the language of physicists to the language of mathematicians.
Using Poincare lemma to construct vector field explicitly for Helmholtz decomposition.
这是很久以前在果壳小组写的外行解读帖子，现在果壳小组没有了，把自己以前给果壳写的帖子留个备份。
This is a continuation of my previous “complaining” post on the language difference of mathematician vs physicists regarding the same thing.
I took a quantum physics class on Coursera this year and I found that the Mathematical language spoken by the two communities, math vs physics, are quite dif...
Here we present two approaches to construct Helmholtz decompositions.
First about the appropriate boundary condition we would like to impose: The cross product(scalar-$\mathrm{curl}$) in $\mathbb{R}^2$ is done by we embed a vec...
The first part among many on how to implement an FEM natively in PyTorch, taking advantages of the auto-diff, natural data structure and functions supporting...
My experience of using the GitHub copilot as a computational mathematician.
A newbie’s journey of submitting his first ML paper to a top conference.
Configuring Ubuntu to use integrated graphics for display and CUDA for computing, best for a single-GPU setup.
Undervolting an NVIDIA RTX GPU, so that the training can run nonstop with controllable thermos.
Configuring Ubuntu Linux to use integrated graphics for display and CUDA for computing, best for a single-GPU setup.
Assembling of a deep learning workstation with RTX 3090 + 10850k, and how to deal with the bent of the heavy 3090 card.
A random newbie’s story on building an RTX 3090 workstation.
The first part among many on how to implement an FEM natively in PyTorch, taking advantages of the auto-diff, natural data structure and functions supporting...
This is the solution (long read) to a Chapter 11 exercise of the book by Brenner and Scott (Brenner and Scott, 2008). Personally I really like this problem, ...
This note walks through the construction of the stiffness matrix for the finite element approximation of Poisson equation in 2D using the hierarchical basis...
How to write elegantly fast code to handle cell array with different length vector at each row.
Some detective work on the trace lemmata (and the converse one) for the Sobolev spaces.
This is an exercise for finite element method most likely. Our question is:
PDE This was the first project after I switched to a PhD program in computational math. The goal of the project is to study the Discontinuous Galerkin (DG) f...
This is the solution (long read) to a Chapter 11 exercise of the book by Brenner and Scott (Brenner and Scott, 2008). Personally I really like this problem, ...
This note walks through the construction of the stiffness matrix for the finite element approximation of Poisson equation in 2D using the hierarchical basis...
A newbie’s journey of submitting his first ML paper to a top conference.
This is an exercise for finite element method most likely. Our question is:
First about the appropriate boundary condition we would like to impose: The cross product(scalar-$\mathrm{curl}$) in $\mathbb{R}^2$ is done by we embed a vec...
PDE This was the first project after I switched to a PhD program in computational math. The goal of the project is to study the Discontinuous Galerkin (DG) f...
In the course project, groups of three students will work together to create regression/classifiers for an in-class Kaggle prediction competition. The compet...
I created an introductory machine learning class for math undergrad who has no previous exposure to programming back in Winter 2019 quarter. This post will t...
This is an exercise in Evans, Partial Differential Equations (1st edition), page 164, problem 13.
This is an exercise for finite element method most likely. Our question is:
This is an exercise in Evans, Partial Differential Equations (2nd edition), Chapter 10 Conservation laws.
My experience of using the GitHub copilot as a computational mathematician.
Use VSCode task to streamline the workflow of building a site and push the changes to GitHub.
Install wgo.js in the Jekyll blog and load it on demand using a toggle in preamble.
GitHub pages allows Jekyll version only to be 3.9, let us find a way around it.
I created an introductory machine learning class for math undergrad who has no previous exposure to programming back in Winter 2019 quarter. This post will t...
Configuring Ubuntu to use integrated graphics for display and CUDA for computing, best for a single-GPU setup.
Undervolting an NVIDIA RTX GPU, so that the training can run nonstop with controllable thermos.
Configuring Ubuntu Linux to use integrated graphics for display and CUDA for computing, best for a single-GPU setup.
Assembling of a deep learning workstation with RTX 3090 + 10850k, and how to deal with the bent of the heavy 3090 card.
A random newbie’s story on building an RTX 3090 workstation.
Install wgo.js in the Jekyll blog and load it on demand using a toggle in preamble.
GitHub pages allows Jekyll version only to be 3.9, let us find a way around it.
Configuring Ubuntu to use integrated graphics for display and CUDA for computing, best for a single-GPU setup.
Undervolting an NVIDIA RTX GPU, so that the training can run nonstop with controllable thermos.
Configuring Ubuntu Linux to use integrated graphics for display and CUDA for computing, best for a single-GPU setup.
Use VSCode task to streamline the workflow of building a site and push the changes to GitHub.
Install wgo.js in the Jekyll blog and load it on demand using a toggle in preamble.
GitHub pages allows Jekyll version only to be 3.9, let us find a way around it.
I finally decided to migrate various of my old writing in my faculty website at UC Irvine (deactivated as of Oct 2020) a static website generator Jekyll. App...
Some detective work on the trace lemmata (and the converse one) for the Sobolev spaces.
This is an exercise for finite element method most likely. Our question is:
Sobolev embedding When $p=n$
本文前半部分是介绍Kaggle的机器学习比赛，后半则是记录今年3月到6月带领几位University of California, Irvine数学系本科生参加由美国洛斯阿拉莫斯国家实验室在Kaggle上组织的地震预测比赛。
这个简明教程主要是教大家使用强大的LaTeX宏包TikZ来绘制工作生活中需要的一些示意图。
这是很久以前在果壳小组写的外行解读帖子，现在果壳小组没有了，把自己以前给果壳写的帖子留个备份。
This note walks through the construction of the stiffness matrix for the finite element approximation of Poisson equation in 2D using the hierarchical basis...
How to write elegantly fast code to handle cell array with different length vector at each row.
Matlab finally embraces (partially) the way matrix manipulation should be Starting in MATLAB R2016b with the addition of implicit expansion, some combinatio...
How to write elegantly fast code to handle cell array with different length vector at each row.
I finally decided to migrate various of my old writing in my faculty website at UC Irvine (deactivated as of Oct 2020) a static website generator Jekyll. App...
Matlab finally embraces (partially) the way matrix manipulation should be Starting in MATLAB R2016b with the addition of implicit expansion, some combinatio...
In the first part, we reviewed a brief history of the mathematics of the Quantum Field Theory (not exhaustively, but enough to get the idea). In this part, w...
Translating the language of physicists to the language of mathematicians.
A newbie’s journey of submitting his first ML paper to a top conference.
Use VSCode task to streamline the workflow of building a site and push the changes to GitHub.
Install wgo.js in the Jekyll blog and load it on demand using a toggle in preamble.
GitHub pages allows Jekyll version only to be 3.9, let us find a way around it.
My experience of using the GitHub copilot as a computational mathematician.
这个简明教程主要是教大家使用强大的LaTeX宏包TikZ来绘制工作生活中需要的一些示意图。
本文前半部分是介绍Kaggle的机器学习比赛，后半则是记录今年3月到6月带领几位University of California, Irvine数学系本科生参加由美国洛斯阿拉莫斯国家实验室在Kaggle上组织的地震预测比赛。
In the course project, groups of three students will work together to create regression/classifiers for an in-class Kaggle prediction competition. The compet...
My experience of using the GitHub copilot as a computational mathematician.
Use VSCode task to streamline the workflow of building a site and push the changes to GitHub.
这是很久以前在果壳小组写的外行解读帖子，现在果壳小组没有了，把自己以前给果壳写的帖子留个备份。
这个简明教程主要是教大家使用强大的LaTeX宏包TikZ来绘制工作生活中需要的一些示意图。
Some detective work on the trace lemmata (and the converse one) for the Sobolev spaces.
This notes contains some of the notes I used in UC Irvine Math 130C course.
A newbie’s journey of submitting his first ML paper to a top conference.
A newbie’s journey of submitting his first ML paper to a top conference.
Install wgo.js in the Jekyll blog and load it on demand using a toggle in preamble.