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annotate +sbp/Higher.m @ 86:3c39dd714fb6

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In Curve: Added numerical FD differentiation if derivative is not supplied. Added arc length computation based on the derivative. Added arc length parameterization (but this function is very slow.). In +util: Added fzero_vec.m and integral_vec.m, which call fzero and integral but take vector arguments.
author Martin Almquist <martin.almquist@it.uu.se>
date Sun, 29 Nov 2015 14:28:53 +0100
parents 32b39dc44474
children
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29
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1 classdef Higher < 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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12
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13 methods
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14 function obj = Higher(m,h,order)
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15
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16 if order == 4
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17 [H, HI, D1, D2, D3, D4, e_1, e_m, M, M4,Q, Q3, S2_1, S2_m, S3_1, S3_m, S_1, S_m] = sbp.higher4(m,h);
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18 obj.borrowing.N.S2 = 0.5485;
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19 obj.borrowing.N.S3 = 1.0882;
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20 elseif order == 6
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21 [H, HI, D1, D2, D3, D4, e_1, e_m, M, M4,Q, Q3, S2_1, S2_m, S3_1, S3_m, S_1, S_m] = sbp.higher6(m,h);
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22 obj.borrowing.N.S2 = 0.3227;
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23 obj.borrowing.N.S3 = 0.1568;
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24 else
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25 error('Invalid operator order %d.',order);
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26 end
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27
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28 obj.h = h;
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29 obj.m = m;
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30
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31 obj.norms.H = H;
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32 obj.norms.HI = HI;
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33 obj.norms.Q = Q;
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34 obj.norms.M = M;
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35 obj.norms.Q3 = Q3;
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36 obj.norms.N = M4;
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37
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38 obj.boundary.e_1 = e_1;
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39 obj.boundary.S_1 = S_1;
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40 obj.boundary.S2_1 = S2_1;
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41 obj.boundary.S3_1 = S3_1;
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42
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43 obj.boundary.e_m = e_m;
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44 obj.boundary.S_m = S_m;
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45 obj.boundary.S2_m = S2_m;
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46 obj.boundary.S3_m = S3_m;
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47
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48 obj.derivatives.D1 = D1;
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49 obj.derivatives.D2 = D2;
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50 obj.derivatives.D3 = D3;
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51 obj.derivatives.D4 = D4;
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52
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53 end
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54 end
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55
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56 methods (Static)
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57 function lambda = smallestGrid(obj)
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58 error('Not implmented')
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59 end
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60 end
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63
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64 end