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annotate +sbp/D2.m @ 255:df3cc9c5dffc operator_remake

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Added ordinary 12th order accurate, with D1*D1 as 2nd derivative.
author Martin Almquist <martin.almquist@it.uu.se>
date Wed, 07 Sep 2016 15:54:41 +0200
parents 07fa0d6a05bb
children 87504db14c6d
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
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252
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
1 classdef D2 < sbp.OpSet
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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2 properties
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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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>
parents:
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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>
parents:
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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>
parents:
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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>
parents:
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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>
parents:
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8 h % Step size
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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9 end
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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10
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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11 methods
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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12 function obj = D2(m,h,order)
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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13
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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14 if order == 2
255
df3cc9c5dffc Added ordinary 12th order accurate, with D1*D1 as 2nd derivative.
Martin Almquist <martin.almquist@it.uu.se>
parents: 252
diff changeset
15 [H, HI, D1, D2, e_1, e_m, M, Q, S_1, S_m] = sbp.ordinary2(m,h);
252
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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16 obj.borrowing.M.S = 0.4000;
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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17 elseif order == 4
255
df3cc9c5dffc Added ordinary 12th order accurate, with D1*D1 as 2nd derivative.
Martin Almquist <martin.almquist@it.uu.se>
parents: 252
diff changeset
18 [H, HI, D1, D2, e_1, e_m, M, Q, S_1, S_m] = sbp.ordinary4(m,h);
252
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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19 obj.borrowing.M.S = 0.2508;
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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20 elseif order == 6
255
df3cc9c5dffc Added ordinary 12th order accurate, with D1*D1 as 2nd derivative.
Martin Almquist <martin.almquist@it.uu.se>
parents: 252
diff changeset
21 [H, HI, D1, D2, e_1, e_m, M, Q, S_1, S_m] = sbp.ordinary6(m,h);
252
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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22 obj.borrowing.M.S = 0.1878;
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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23 elseif order == 8
255
df3cc9c5dffc Added ordinary 12th order accurate, with D1*D1 as 2nd derivative.
Martin Almquist <martin.almquist@it.uu.se>
parents: 252
diff changeset
24 [H, HI, D1, D2, e_1, e_m, M, Q, S_1, S_m] = sbp.ordinary8(m,h);
252
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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25 obj.borrowing.M.S = 0.0015;
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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26 elseif order == 10
255
df3cc9c5dffc Added ordinary 12th order accurate, with D1*D1 as 2nd derivative.
Martin Almquist <martin.almquist@it.uu.se>
parents: 252
diff changeset
27 [H, HI, D1, D2, e_1, e_m, M, Q, S_1, S_m] = sbp.ordinary10(m,h);
252
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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28 obj.borrowing.M.S = 0.0351;
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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29 else
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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30 error('Invalid operator order %d.',order);
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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31 end
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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32
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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33 obj.h = h;
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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34 obj.m = m;
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Martin Almquist <martin.almquist@it.uu.se>
parents:
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35
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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36 obj.norms.H = H;
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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37 obj.norms.HI = HI;
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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38 obj.norms.Q = Q;
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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39 obj.norms.M = M;
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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40
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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41 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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42 obj.boundary.S_1 = S_1;
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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43
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>
parents:
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45 obj.boundary.S_m = S_m;
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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46
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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47 obj.derivatives.D1 = D1;
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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48 obj.derivatives.D2 = D2;
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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49
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Martin Almquist <martin.almquist@it.uu.se>
parents:
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50 end
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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51 end
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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52
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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53 methods (Static)
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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54 function lambda = smallestGrid(obj)
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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55 error('Not implmented')
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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56 end
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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57 end
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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58 end
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parents:
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59
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60
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61
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62
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63