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Scientific Computing (科学计算/数值方法) 牛津大学生肉

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2022-03-03 19:30:36

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收集整理自牛津大学(http://podcasts.ox.ac.uk/) 2016-2017学年课程录像。分为生肉版本和中英字幕版本发布。 1-4：Sparse Matrices and Iterative Methods 5-9：Dense Linear Algebra 10-12：Optimization 13-16：ODEs and Nonlinear Dynamics 17-24：PDE

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一个低俗的up，官方认证低俗限流。喜欢林果儿。偶尔开开数学课（留学生/考研竞赛为主）、理论力学课。QQ：1348601186注明来意

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lecture_01 overview of the field of linear algebra and optimization/Ax=3Db

50:33

lecture_02 conjugate gradients and the convergence of CG

53:01

lecture_03 preconditioned CG and also provides examples of preconditioners

54:41

lecture_04 numerical analysis

48:22

lecture_05 matrices, vectors and expansions, including orthogonal vectors and ma

52:49

lecture_06 QR factorization, the computation of the QR factorization, and linear

49:39

lecture_07 floating point arithmetic and backward error analysis

53:42

lecture_08 matrix factorizations and SVD

51:25

lecture_09 provides a demonstration of Chebfun

48:42

lecture_10 Newton's methods

49:27

lecture_11 Newton's methods

49:43

lecture_12 NEOS and COIN-OR, constraints and linear programming, and quadratic p

50:24

13 ODEs and IVPs, Runge-Kutta and multistep formulas, IVP codes in MATLAB and Si

53:04

14 order of accuracy, convergence and stability, and adaptive ODE codes

49:42

15 planetary motions, chaos and Lyapunov exponents, the Lorenz equations, and la

50:45

16 stability regions, stiffness, and looks at BVPs in Chebfun

50:51

17 PDEs in science and engineering, and explicit 1D finite differences

51:19

18 numerical instability and implicit 1D finite differences

49:20

19 order of accuracy and reaction-diffusion equations and other stiff PDEs

52:10

20 finite differencing in general grids and multiple space dimensions

51:11

21 Fourier spectral discretization and Fourier spectral discretization via FFT

50:03

22 Fourier, Laurent, and Chebyshev. Then, Chebyshev series and interpolants

50:52

23 Chebyshev spectral discretization

50:51

24 question Who invented the great numerical algorithms

53:33

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