Presentation is loading. Please wait.

Presentation is loading. Please wait.

MATH 685/ CSI 700/ OR 682 Lecture Notes Lecture 11. Ordinary differential equations. Boundary value problems.

Similar presentations


Presentation on theme: "MATH 685/ CSI 700/ OR 682 Lecture Notes Lecture 11. Ordinary differential equations. Boundary value problems."— Presentation transcript:

1 MATH 685/ CSI 700/ OR 682 Lecture Notes Lecture 11. Ordinary differential equations. Boundary value problems.

2 Boundary value problems

3

4 Example

5 Existence and uniqueness

6

7

8

9 Conditioning and stability

10 Numerical methods for BVPs

11 Shooting method

12

13 Example

14

15

16

17 Example (cont.)

18 Multiple shooting

19 Finite difference method

20

21

22 Example

23

24 Example (cont.)

25 Collocation method

26

27

28 Example

29

30 Example (cont.)

31

32 Galerkin method

33

34

35

36

37

38 Galerkin method example

39 Example

40

41 Example (cont.)

42 Eigenvalue problems

43 Example

44 Example (cont.)


Download ppt "MATH 685/ CSI 700/ OR 682 Lecture Notes Lecture 11. Ordinary differential equations. Boundary value problems."

Similar presentations


Ads by Google