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annotate +rv/+time/BdfDerivative.m @ 1169:d02e5b8a0b24 feature/rv

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Rename RungekuttaRV time steppers. Add RungekuttaRVMultiStage time stepper
author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Fri, 28 Jun 2019 13:13:17 +0200
parents 010bb2677230
children a4c00628a39d
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1016
4b42999874c0 Add lower level for boot-strapping to RungeKuttaExteriorRV
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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1 classdef BdfDerivative < handle
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eb441fbdf379 Draft implementation of RungeKutta with exterior RV updates
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2 properties
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3 coefficients
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4 end
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010bb2677230 Clean up in +rv/+time. Make the time stepping more efficient by not storing unnessecary properties in the RK-RV time steppers
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1016
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5 methods
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4b42999874c0 Add lower level for boot-strapping to RungeKuttaExteriorRV
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1014
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6 function obj = BdfDerivative()
4b42999874c0 Add lower level for boot-strapping to RungeKuttaExteriorRV
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1014
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7 obj.coefficients = obj.getBdfCoefficients();
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8 end
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e547794a9407 Add boot-strapping to RungeKuttaExteriorRV
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1013
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9 function DvDt = evaluate(obj, v, v_prev, dt)
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1013
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10 order = size(v_prev,2);
e547794a9407 Add boot-strapping to RungeKuttaExteriorRV
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1013
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11 DvDt = (obj.coefficients(order,1)*v - sum(obj.coefficients(order,2:order+1).*v_prev,2))/dt;
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parents: 1013
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12 end
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13 end
e547794a9407 Add boot-strapping to RungeKuttaExteriorRV
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1013
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14 methods(Static)
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4b42999874c0 Add lower level for boot-strapping to RungeKuttaExteriorRV
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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15 function c = getBdfCoefficients()
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16 c = zeros(6,7);
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17 c(1,1) = 1; c(1,2) = 1;
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1013
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18 c(2,1) = 3/2; c(2,2) = 4/2; c(2,3) = -1/2;
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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19 c(3,1) = 11/6; c(3,2) = 18/6; c(3,3) = -9/6; c(3,4) = 2/6;
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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20 c(4,1) = 25/12; c(4,2) = 48/12; c(4,3) = -36/12; c(4,4) = 16/12; c(4,5) = -3/12;
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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21 c(5,1) = 137/60; c(5,2) = 300/60; c(5,3) = -300/60; c(5,4) = 200/60; c(5,5) = -75/60; c(5,6) = 12/60;
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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22 c(6,1) = 147/60; c(6,2) = 360/60; c(6,3) = -450/60; c(6,4) = 400/60; c(6,5) = -225/60; c(6,6) = 72/60; c(6,7) = -10/60;
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parents:
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23 end
eb441fbdf379 Draft implementation of RungeKutta with exterior RV updates
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parents:
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24 end
eb441fbdf379 Draft implementation of RungeKutta with exterior RV updates
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
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25 end