偏微分方程数值求解 matlab 适合工科研究生博士生参考 也可作为工程人员参考

Partial differential equations (PDEs) and variational methods were introduced into image processing about fifteen years ago. Since then, intensive research has been carried out. The goals of this book are to present a variety of image analysis applications, the precise mathematics involved and how to discretize them. Thus, this book is intended for two audiences. The first is the mathematical community by showing the contribution of mathematics to this domain. It is also the occasion to highlight some unsolved theoretical questions. The second is the computer vision community by presenting a clear, self-contained and global overview of the mathematics involved in image processing problems. This work will serve as a useful source of reference and inspiration for fellow researchers in Applied Mathematics and Computer Vision, as well as being a basis for advanced courses within these fields. During the four years since the publication of the first edition, there has been substantial progress in the range of image processing applications covered by the PDE framework. The main goals of the second edition are to update the first edition by giving a coherent account of some of the recent challenging applications, and to update the existing material. In addition, this book provides the reader with the opportunity to make his own simulations with a minimal effort. To this end, programming tools are made available, which will allow the reader to implement and test easily some classical approaches.

Applied Partial Differential Equations - A Visual Approach - P. Markowich (Springer, 2007) WW.pdf

Partial Differential Equations第四版

文集本身是众多方程领域的数学家为贺法国大家Haim Brezis60岁生日而拿出的祝贺论文的集合。很多文章都是具有很强概括性的综述。But，我也没有详细读过。

任意二维域上的泊松 使用有限元方法求解具有 RHS f 和 Dirichlet 边界条件的任意二维域上的泊松方程。

Functional Analysis Sobolev Spaces And Partial Differential Equations(Brezis)英文版，数分好教材，知乎多人荐之

- py-pde是一个Python软件包，用于求解偏微分方程（PDE）。 该程序包提供了可在其上定义标量和张量字段的网格的类。 关联的微分算子是使用numba编译的有限差分实现来计算的。 这允许定义，检查和求解典型的PDE，例如在物理动力系统研究中出现的PDE。 该软件包的重点在于易于使用，以探索PDE的行为。 但是，可以使用numba透明地编译核心计算，以提高速度。 安装 py-pde在pypi上可用，因此您应该可以通过pip安装它： pip install py-pde 为了使软件包的所有功能可用，您可能还需要安装以下可选软件包： pip install h5py pandas tqdm 此外，需要安装ffmpeg来创建电影。 或者，您可以使用频道通过安装py-pde ： conda install -c conda-forge py-pde 使用conda安装包括所

[Partial differential equations] [L. C. Evans]是数学系 偏微分方程专业的基础课之一，需要好好学习

SUMS18 Numerical Methods for Partial Differential Equations, Gwynne A. Evans, Jonathan M. Blackledge, Peter D. Yardley (2000) .zip