annotate +sbp/D1_nonequidistant_minimal.m @ 252:07fa0d6a05bb operator_remake

Renamned class files and added nonequidistant operators.
author Martin Almquist <martin.almquist@it.uu.se>
date Wed, 07 Sep 2016 13:40:41 +0200
parents
children 5b6dfa8a743d
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252
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
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1 classdef D1_nonequidistant_minimal < sbp.OpSet
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
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2 properties
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
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3 norms % Struct containing norm matrices such as H,Q, M
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
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4 boundary % Struct contanging vectors for boundry point approximations
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
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5 derivatives % Struct containging differentiation operators
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
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6 borrowing % Struct with borrowing limits for different norm matrices
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
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7 m % Number of grid points.
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
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8 h % Step size
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Martin Almquist <martin.almquist@it.uu.se>
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9 x % grid
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Martin Almquist <martin.almquist@it.uu.se>
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10 end
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Martin Almquist <martin.almquist@it.uu.se>
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11
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
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12 methods
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
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13 function obj = D1_nonequidistant_minimal(m,L,order)
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
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14
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
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15 if order == 4
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
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16 [D1,H,grid,dx] = D1_minimal_4th_3BP_1shifts(m,L);
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
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17 elseif order == 6
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
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18 [D1,H,grid,dx] = D1_minimal_6th_5BP_2shifts(m,L);
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
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19 elseif order == 8
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
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20 [D1,H,grid,dx] = D1_minimal_8th_6BP_2shifts(m,L);
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
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21 elseif order == 10
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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22 [D1,H,grid,dx] = D1_minimal_10th_8BP_3shifts(m,L);
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
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23 elseif order == 12
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
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24 [D1,H,grid,dx] = D1_minimal_12th_10BP_4shifts(m,L);
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
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25 else
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
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26 error('Invalid operator order %d.',order);
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
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27 end
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
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28
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
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29 Q = H*D1;
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
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30 e_1 = sparse(m,1);
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Martin Almquist <martin.almquist@it.uu.se>
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31 e_m = sparse(m,1);
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Martin Almquist <martin.almquist@it.uu.se>
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32 e_1(1) = 1;
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Martin Almquist <martin.almquist@it.uu.se>
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33 e_m(m) = 1;
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Martin Almquist <martin.almquist@it.uu.se>
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34
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
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35 obj.h = dx;
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Martin Almquist <martin.almquist@it.uu.se>
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36 obj.m = m;
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Martin Almquist <martin.almquist@it.uu.se>
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37 obj.x = grid;
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Martin Almquist <martin.almquist@it.uu.se>
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38
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Martin Almquist <martin.almquist@it.uu.se>
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39 obj.norms.H = H;
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
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40 obj.norms.HI = HI;
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
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41 obj.norms.Q = Q;
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Martin Almquist <martin.almquist@it.uu.se>
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42
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
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43 obj.boundary.e_1 = e_1;
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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44 obj.boundary.e_m = e_m;
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
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45
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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46 obj.derivatives.D1 = D1;
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
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47 end
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
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48 end
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
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49
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
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50 methods (Static)
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
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51 function lambda = smallestGrid(obj)
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
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52 error('Not implmented')
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
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53 end
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
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54 end
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
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55 end
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
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56
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Martin Almquist <martin.almquist@it.uu.se>
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57
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Martin Almquist <martin.almquist@it.uu.se>
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58
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Martin Almquist <martin.almquist@it.uu.se>
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59
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60