02:27

8.3.7-PDEs: Finite Element Method: Solution and Post-Processing

13:01

8.3.4-PDEs: Finite Element Method: Element Equations Part 2

03:01

8.3.6-PDEs: Finite Element Method: Boundary Conditions

04:42

8.3.5-PDEs: Finite Element Method: Assembly

14:07

8.3.3-PDEs: Finite Element Method: Element Equations Part 1

04:29

8.3.2-PDEs: Finite Element Method: Domain Discretization

04:51

8.3.1-PDEs: Introduction to Finite Element Method

10:27

8.2.7-PDEs: Parabolic PDEs In Two Spatial Dimensions (ADI Method)

05:58

8.2.5-PDEs: Implicit Finite Divided Difference for Parabolic PDEs

08:01

8.2.6-PDEs: Crank-Nicolson Implicit Finite Divided Difference Method

08:43

8.2.1-PDEs: Finite Divided Difference for Elliptic PDEs with Irregular Boundaries

15:19

8.2.2-PDEs: Finite Volume Method (Control Volume Approach)

12:11

8.2.3-PDEs: Explicit Finite Difference Method for Parabolic PDEs

04:53

8.2.4-PDEs: Convergence and Stability

11:32

8.1.6-PDEs: Finite-Difference Method for Laplace Equation

05:57

8.1.7-PDEs: Secondary Variables

06:13

8.1.5-PDEs: Derivation of the Laplace Equation

02:35

8.1.4-PDEs: Boundary Conditions and Solution Methods Overview

08:21

8.1.3-PDEs: Classification Continued--Classifying Second-Order PDEs

10:55

8.1.2-PDEs: Classification of Partial Differential Equations

06:01

8.1.1-PDEs: Ordinary versus Partial Differential Equations

08:57

7.4.4-ODEs: Worked Example--Heun's Method

10:55

7.4.5-ODEs: Worked Example--Midpoint Method

04:00

7.4.7-ODEs: Worked Example--Final Plot

08:46

7.4.6-ODEs: Worked Example--Ralston's Method

07:11

7.4.3-ODEs: Worked Example--Euler's Method

05:31

7.4.2-ODEs: Worked Example--Analytical Solution

02:38

7.4.1-ODEs: Worked Example--Problem Statement

14:13

7.3.3-ODEs: Finite Difference Method

07:16

7.3.6-ODEs: Power Iteration for Eigenvalues

08:59

7.3.2-ODEs: Shooting Method

01:13

7.3.7-ODEs: Other Methods for Eigenvalues

05:53

7.3.1-ODEs: Boundary Conditions

04:14

7.3.4-ODEs: Eigenvalue Problem Motivation

02:28

7.3.5-ODEs: Polynomial Method for Eigenvalues

07:17

7.2.7-ODEs: Milne's Method (3rd-order) and Adams Method (4th-order)

04:44

7.2.8-ODEs: Recap of Explicit and Implicit Methods

02:19

7.2.5-ODEs: Implicit Euler's Method

05:03

7.2.6-ODEs: Non Self-Starting Heun Method

06:11

7.2.4-ODEs: Explicit versus Implicit Solution Methods

09:17

7.2.1-ODEs: Adaptive Runge-Kutta

06:56

7.2.2-ODEs: Stiff Systems

03:46

7.2.3-ODEs: Recap of Explicit Runge-Kutta Methods

03:01

7.1.9-ODEs: Butcher's Fifth-Order Runge-Kutta

06:04

7.1.6-ODEs: Second-Order Runge-Kutta

04:36

7.1.8-ODEs: Classical Fourth-Order Runge-Kutta

03:44

7.1.7-ODEs: Third-Order Runge-Kutta

04:08

7.1.5-ODEs: General Runge-Kutta Framework

12:00

7.1.1-ODEs: Introduction to Ordinary Differential Equations

03:08

7.1.4-ODEs: Heun's Method

05:57

7.1.2-ODEs: Introduction to Runge-Kutta Methods

02:19

7.1.3-ODEs: Euler's Method

22:04

6.4.1-Numerical Integration & Differentiation: Worked Example 1

12:15

6.4.3-Numerical Integration & Differentiation: Worked Example 3

06:32

6.4.2-Numerical Integration & Differentiation: Worked Example 2

02:55

6.3.8-Numerical Differentiation: Finite Difference with Partial Derivatives

02:52

6.3.7-Numerical Differentiation: Noisy Data

02:48

6.3.6-Numerical Differentiation: Unequally Spaced Data

01:10

6.3.5-Numerical Differentiation: Richardson Extrapolation

02:40

6.3.4-Numerical Differentiation: Higher-Order Finite Divided Difference Tables