Mercurial > repos > public > sbplib
annotate +sbp/HigherVariable.m @ 275:3ea2ae2a3d15 feature/beams
Improvments to eval on grids. Added function to extrac components of a vector gf.
author | Jonatan Werpers <jonatan@werpers.com> |
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date | Tue, 06 Sep 2016 17:28:11 +0200 |
parents | 02423f9323c6 |
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rev | line source |
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1 classdef HigherVariable < sbp.OpSet |
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2 properties |
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3 norms % Struct containing norm matrices such as H,Q, M |
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4 boundary % Struct contanging vectors for boundry point approximations |
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5 derivatives % Struct containging differentiation operators |
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6 borrowing % Struct with borrowing limits for different norm matrices |
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7 m % Number of grid points. |
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8 h % Step size |
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9 end |
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10 |
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11 |
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12 |
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13 methods |
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14 function obj = HigherVariable(m,h,order, opt) |
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15 default_arg('opt', '') |
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16 |
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17 if order == 2 |
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18 [H, HI, D1, D2, D3, D4, e_1, e_m, M4, Q, S2_1, S2_m, S3_1, S3_m, S_1, S_m] = sbp.higher_variable2(m,h); |
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19 obj.borrowing.N.S2 = 1.2500; |
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20 obj.borrowing.N.S3 = 0.4000; |
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21 elseif order == 4 |
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22 switch opt |
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23 case 'min_boundary_points' |
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24 [H, HI, D2, D4, e_1, e_m, M4, S2_1, S2_m, S3_1, S3_m, S_1, S_m] = sbp.higher_variable4_min_boundary_points(m,h); |
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25 % obj.borrowing.N.S2 = 0.5055; |
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26 % obj.borrowing.N.S3 = 0.9290; |
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27 otherwise |
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28 [H, HI, D2, D4, e_1, e_m, M4, S2_1, S2_m, S3_1, S3_m, S_1, S_m] = sbp.higher_variable4(m,h); |
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29 obj.borrowing.N.S2 = 0.5055; |
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30 obj.borrowing.N.S3 = 0.9290; |
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31 end |
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32 elseif order == 6 |
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33 switch opt |
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34 case '2' |
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35 [H, HI, D2, D4, e_1, e_m, M4, S2_1, S2_m, S3_1, S3_m, S_1, S_m] = sbp.higher_variable6_2(m,h); |
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36 % obj.borrowing.N.S2 = 0.3259; |
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37 % obj.borrowing.N.S3 = 0.1580; |
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38 case '3' |
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39 [H, HI, D2, D4, e_1, e_m, M4, S2_1, S2_m, S3_1, S3_m, S_1, S_m] = sbp.higher_variable6_3(m,h); |
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40 % obj.borrowing.N.S2 = 0.3259; |
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41 % obj.borrowing.N.S3 = 0.1580; |
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42 case 'min_boundary_points' |
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43 [H, HI, D2, D4, e_1, e_m, M4, S2_1, S2_m, S3_1, S3_m, S_1, S_m] = sbp.higher_variable6_min_boundary_points(m,h); |
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44 % obj.borrowing.N.S2 = 0.3259; |
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45 % obj.borrowing.N.S3 = 0.1580; |
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46 otherwise |
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47 [H, HI, D2, D4, e_1, e_m, M4, S2_1, S2_m, S3_1, S3_m, S_1, S_m] = sbp.higher_variable6(m,h); |
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48 obj.borrowing.N.S2 = 0.3259; |
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49 obj.borrowing.N.S3 = 0.1580; |
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50 end |
246
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51 elseif order == 8 |
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52 switch opt |
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53 case 'min_boundary_points' |
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54 [H, HI, D2, D4, e_1, e_m, M4, S2_1, S2_m, S3_1, S3_m, S_1, S_m] = sbp.higher_variable8_min_boundary_points(m,h); |
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55 % obj.borrowing.N.S2 = 0.3259; |
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56 % obj.borrowing.N.S3 = 0.1580; |
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57 otherwise |
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58 [H, HI, D2, D4, e_1, e_m, M4, S2_1, S2_m, S3_1, S3_m, S_1, S_m] = sbp.higher_variable8_higher_boundary_order(m,h); |
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59 % obj.borrowing.N.S2 = 0.3259; |
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60 % obj.borrowing.N.S3 = 0.1580; |
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61 end |
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62 |
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63 else |
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64 error('Invalid operator order.'); |
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65 end |
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66 |
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67 obj.h = h; |
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68 obj.m = m; |
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69 |
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70 obj.norms.H = H; |
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71 obj.norms.HI = HI; |
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72 obj.norms.N = M4; |
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73 |
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74 obj.boundary.e_1 = e_1; |
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75 obj.boundary.S_1 = S_1; |
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76 obj.boundary.S2_1 = S2_1; |
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77 obj.boundary.S3_1 = S3_1; |
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78 |
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79 obj.boundary.e_m = e_m; |
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80 obj.boundary.S_m = S_m; |
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81 obj.boundary.S2_m = S2_m; |
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82 obj.boundary.S3_m = S3_m; |
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83 |
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84 obj.derivatives.D2 = D2; |
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85 obj.derivatives.D4 = D4; |
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86 |
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87 end |
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88 end |
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89 |
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90 methods (Static) |
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91 function lambda = smallestGrid(obj) |
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92 error('Not implmented') |
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93 end |
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94 end |
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95 |
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96 |
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97 |
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98 end |