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annotate +time/SBPInTimeSecondOrderForm.m @ 1198:2924b3a9b921 feature/d2_compatible

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Add OpSet for fully compatible D2Variable, created from regular D2Variable by replacing d1 by first row of D1. Formal reduction by one order of accuracy at the boundary point.
author Martin Almquist <malmquist@stanford.edu>
date Fri, 16 Aug 2019 14:30:28 -0700
parents c92d2f8319c2
children b5e5b195da1e
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1 classdef SBPInTimeSecondOrderForm < time.Timestepper
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2 properties
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3 A,B,C
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4 M, f
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5
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6 n
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7 t
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8 k
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9
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10 firstOrderTimeStepper
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11 end
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12
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13 methods
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14 % Solves u_tt = Au + Bu_t + C
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15 % A, B can either both be constants or both be function handles,
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16 % They can also be omitted by setting them equal to the empty matrix.
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17 function obj = SBPInTimeSecondOrderForm(A, B, C, k, t0, v0, v0t, TYPE, order, blockSize)
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18 default_arg('TYPE', []);
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19 default_arg('order', []);
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20 default_arg('blockSize',[]);
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21
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22 m = length(v0);
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23
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24 default_arg('A', sparse(m, m));
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25 default_arg('B', sparse(m, m));
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26 default_arg('C', sparse(m, 1));
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27
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28 I = speye(m);
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29 O = sparse(m,m);
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30
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31 obj.M = [
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32 O, I;
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33 A, B;
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34 ];
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35 obj.f = @(t)[
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36 sparse(m,1);
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37 C;
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38 ];
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39
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40 w0 = [v0; v0t];
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41
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42 obj.k = k;
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43 obj.t = t0;
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44 obj.n = 0;
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45
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46 obj.firstOrderTimeStepper = time.SBPInTime(obj.M, obj.f, obj.k, obj.t, w0, TYPE, order, blockSize);
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47 end
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48
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49 function [v,t] = getV(obj)
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50 w = obj.firstOrderTimeStepper.getV();
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51 v = w(1:end/2);
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52 t = obj.t;
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53 end
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54
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55 function [vt,t] = getVt(obj)
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56 w = obj.firstOrderTimeStepper.getV();
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57 vt = w(end/2+1:end);
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58 t = obj.t;
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59 end
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60
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61 function obj = step(obj)
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62 obj.firstOrderTimeStepper.step();
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63 obj.t = obj.firstOrderTimeStepper.t;
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64 obj.n = obj.firstOrderTimeStepper.n;
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65 end
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66 end
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67 end