Mercurial > repos > public > sbplib

annotate +sbp/D2Standard.m @ 263:21a180acbd49 operator_remake

Find changesets by keywords (author, files, the commit message), revision number or hash, or revset expression.
Renamed standard class to D2Standard etc, Rewrote class properties.
author Martin Almquist <martin.almquist@it.uu.se>
date Thu, 08 Sep 2016 17:50:30 +0200
parents
children 8a625c5a3633
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
263
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
1 classdef D2Standard < sbp.OpSet
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
2 properties
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
3 D1 % SBP operator approximating first derivative
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
4 H % Norm matrix
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
5 HI % H^-1
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
6 Q % Skew-symmetric matrix
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
7 e_1 % Left boundary operator
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
8 e_m % Right boundary operator
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
9 D2 % SBP operator for second derivative
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
10 M % Norm matrix, second derivative
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
11 S_1 % Left boundary first derivative
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
12 S_m % Right boundary first derivative
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
13 m % Number of grid points.
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
14 h % Step size
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
15 x % grid
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
16 borrowing % Struct with borrowing limits for different norm matrices
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
17
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
18 end
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
19
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
20 methods
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
21 function obj = D2Standard(m,L,order)
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
22
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
23 obj.h = L/(m-1);
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
24 obj.x = linspace(0,L,m)';
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
25
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
26 if order == 2
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
27 [obj.H, obj.HI, obj.D1, obj.D2, obj.e_1,...
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
28 obj.e_m, obj.M, obj.Q, obj.S_1, obj.S_m] =...
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
29 sbp.implementations.ordinary2(m,obj.h);
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
30 obj.borrowing.M.S = 0.4000;
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
31 elseif order == 4
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
32 [obj.H, obj.HI, obj.D1, obj.D2, obj.e_1,...
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
33 obj.e_m, obj.M, obj.Q, obj.S_1, obj.S_m] =...
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
34 sbp.implementations.ordinary4(m,obj.h);
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
35 obj.borrowing.M.S = 0.2508;
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
36 elseif order == 6
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
37 [obj.H, obj.HI, obj.D1, obj.D2, obj.e_1,...
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
38 obj.e_m, obj.M, obj.Q, obj.S_1, obj.S_m] =...
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
39 sbp.implementations.ordinary6(m,obj.h);
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
40 obj.borrowing.M.S = 0.1878;
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
41 elseif order == 8
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
42 [obj.H, obj.HI, obj.D1, obj.D2, obj.e_1,...
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
43 obj.e_m, obj.M, obj.Q, obj.S_1, obj.S_m] =...
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
44 sbp.implementations.ordinary8(m,obj.h);
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
45 obj.borrowing.M.S = 0.0015;
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
46 elseif order == 10
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
47 [obj.H, obj.HI, obj.D1, obj.D2, obj.e_1,...
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
48 obj.e_m, obj.M, obj.Q, obj.S_1, obj.S_m] =...
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
49 sbp.implementations.ordinary10(m,obj.h);
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
50 obj.borrowing.M.S = 0.0351;
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
51 elseif order == 12
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
52 [obj.H, obj.HI, obj.D1, obj.D2, obj.e_1,...
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
53 obj.e_m, obj.M, obj.Q, obj.S_1, obj.S_m] =...
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
54 sbp.implementations.ordinary12(m,obj.h);
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
55 obj.borrowing.M.S = []; % Need to compute!
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
56 else
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
57 error('Invalid operator order %d.',order);
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
58 end
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
59
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
60 obj.m = m;
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
61
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
62 end
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
63 end
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
64
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
65
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
66 end
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
67
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
68
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
69
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
70
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
71