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annotate +time/Rungekutta4proper.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 e1a05acc1b5d
children c6fcee3fcf1b 8894e9c49e40
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1 classdef Rungekutta4proper < time.Timestepper
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2 properties
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3 F
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9 end
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12 methods
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13 % Timesteps v_t = F(v,t), using RK4 fromt t = t0 with timestep k and initial conditions v = v0
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14 function obj = Rungekutta4proper(F, k, t0, v0)
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15 obj.F = F;
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16 obj.k = k;
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17 obj.t = t0;
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18 obj.v = v0;
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19 obj.m = length(v0);
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20 obj.n = 0;
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21 end
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22
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23 function [v,t] = getV(obj)
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24 v = obj.v;
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25 t = obj.t;
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26 end
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28 function obj = step(obj)
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29 obj.v = time.rk4.rungekutta_4(obj.v, obj.t, obj.k, obj.F);
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30 obj.t = obj.t + obj.k;
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31 obj.n = obj.n + 1;
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32 end
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33 end
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36 methods (Static)
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37 function k = getTimeStep(lambda)
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38 k = rk4.get_rk4_time_step(lambda);
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39 end
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40 end
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