Numerical Methods and Programming Tutorial

[Shane]

Video Tutorial on Numerical Methods and Programming

Lecture 1 - Programming Basics
[media]http://www.youtube.com/watch?v=zjyR9e-N ... 2A&index=0[/media]

Lecture 2 - Introduction to Pointers
[media]http://www.youtube.com/watch?v=7-EppTJK ... 2A&index=1[/media]

Lecture 3 - Pointers And Arrays
[media]http://www.youtube.com/watch?v=mKrwrQMT ... 2A&index=2[/media]

Lecture 4 - External Functions and Argument Passing
[media]http://www.youtube.com/watch?v=i6ifjE45 ... 2A&index=3[/media]

Lecture 5 - Representation of Numbers
[media]http://www.youtube.com/watch?v=UawUYuNS ... 2A&index=4[/media]

Lecture 6 - Numerical Error
[media]http://www.youtube.com/watch?v=HJjbEOsO ... 2A&index=5[/media]

Lecture 7 - Error Propagation and Stability
[media]http://www.youtube.com/watch?v=i3VlTw6J ... 2A&index=6[/media]

Lecture 8 - Polynomial Interpolation-1
[media]http://www.youtube.com/watch?v=sDn5cc-8 ... 2A&index=7[/media]

Lecture 9 - Polynomial Interpolation-2
[media]http://www.youtube.com/watch?v=ZG_TgdyD ... 2A&index=8[/media]

Lecture 10 - Error In Interpolation Polynomial
[media]http://www.youtube.com/watch?v=s31nOF09 ... 2A&index=9[/media]

Lecture 11 - Polynomial Interpolation
[media]http://www.youtube.com/watch?v=Oy3uudRX ... A&index=10[/media]

Lecture 12 - Cubic Spline Interpolation
[media]http://www.youtube.com/watch?v=Dyzcblrp ... A&index=11[/media]

Lecture 13 - Data Fitting : Linear Fit
[media]http://www.youtube.com/watch?v=FfqAIlOx ... A&index=12[/media]

Lecture 14 - Data Fitting : Linear Fit
[media]http://www.youtube.com/watch?v=2qZBxknd ... A&index=13[/media]

Lecture 15 - Data Fitting : Non-Linear Fit
[media]http://www.youtube.com/watch?v=j6L0yRHf ... A&index=14[/media]

Lecture 16 - Matrix Elimination and Solution
[media]http://www.youtube.com/watch?v=_gOn2S7M ... A&index=15[/media]

Lecture 17 - Solution To Linear Equations
[media]http://www.youtube.com/watch?v=qndP0RmL ... A&index=16[/media]

Lecture 18 - Matrix Elimination
[media]http://www.youtube.com/watch?v=dfYrZktD ... A&index=17[/media]

Lecture 19 - Eigen Values of A Matrix
[media]http://www.youtube.com/watch?v=5XvAx456 ... A&index=18[/media]

Lecture 20 - Eigen Values And Eigen Vectors
[media]http://www.youtube.com/watch?v=6eHc-Ifz ... A&index=19[/media]

Lecture 21 - Solving Non-Linear Equations
[media]http://www.youtube.com/watch?v=luqB02FM ... A&index=20[/media]

Lecture 22 - Solving Non-Linear Equations Newton
[media]http://www.youtube.com/watch?v=2WGkKaDE ... A&index=21[/media]

Lecture 23 - Methods For Solving Non-Linear Equations
[media]http://www.youtube.com/watch?v=iFnPitKH ... A&index=22[/media]

Lecture 24 - System of Non-Linear Equations
[media]http://www.youtube.com/watch?v=F69Mg6xF ... A&index=23[/media]

Lecture 25 - Numerical Derivations
[media]http://www.youtube.com/watch?v=Kni2oBsy ... A&index=24[/media]

Lecture 26 - High order Derivatives From Difference Formula
[media]http://www.youtube.com/watch?v=Rx32JzBU ... A&index=25[/media]

Lecture 27 - Numerical Integration - Basic Rules
[media]http://www.youtube.com/watch?v=4bRJnZht ... A&index=26[/media]

Lecture 28 - Comparison of Different Basic Rules
[media]http://www.youtube.com/watch?v=8zOYb8Pn ... A&index=27[/media]

Lecture 29 - Gaussian Rules
[media]http://www.youtube.com/watch?v=ZzA20_5f ... A&index=28[/media]

Lecture 30 - Comparison of Gaussian Rules
[media]http://www.youtube.com/watch?v=VZcAQZbQ ... A&index=29[/media]

Lecture 31 - Solving Ordinary Differential Equations
[media]http://www.youtube.com/watch?v=CogfMjKU ... A&index=30[/media]

Lecture 32-Solving ordinary differential equations
[media]http://www.youtube.com/watch?v=w-n2fJwh ... A&index=31[/media]

Lecture 33 - Adaptive step size Runge Kutta scheme
[media]http://www.youtube.com/watch?v=osHgLsOb ... A&index=32[/media]

Lecture 34 - Partial Differential Equations
[media]http://www.youtube.com/watch?v=AGXtOt37 ... A&index=33[/media]

Lecture 35 - Explicit and Implicit Methods
[media]http://www.youtube.com/watch?v=gje7QDlm ... A&index=34[/media]

Lecture - 36 The Crank - Nicholson Scheme For Two Spatial
[media]http://www.youtube.com/watch?v=yCwFBeUk ... A&index=35[/media]

Lecture 37 - Fourier Transforms
[media]http://www.youtube.com/watch?v=bIpwEp8a ... A&index=36[/media]

Lecture 38 Fast Fourier Transforms
[media]http://www.youtube.com/watch?v=r4Pc-rGB ... A&index=37[/media]