Mercurial > repos > public > sbplib
annotate +time/+expint/Magnus_mp.m @ 512:4ef2d2a493f1 feature/quantumTriangles
add H_xyz to hypsyst to compute H-norm
author | Ylva Rydin <ylva.rydin@telia.com> |
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date | Mon, 26 Jun 2017 19:23:19 +0200 |
parents | 566304a5733e |
children | bc39bb984d88 |
rev | line source |
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505
49bc2929dfb1
Added the midpont magnus exponential integrator
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff
changeset
|
1 % Takes one time step of size k using the magnus midpoinr |
49bc2929dfb1
Added the midpont magnus exponential integrator
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff
changeset
|
2 % starting from v_0 and where the function F(v,t) gives the |
49bc2929dfb1
Added the midpont magnus exponential integrator
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff
changeset
|
3 % time derivatives. |
49bc2929dfb1
Added the midpont magnus exponential integrator
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff
changeset
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4 function v = Magnus_mp(v,D, t , k) |
49bc2929dfb1
Added the midpont magnus exponential integrator
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff
changeset
|
5 |
49bc2929dfb1
Added the midpont magnus exponential integrator
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff
changeset
|
6 if isa(D,'function_handle') |
49bc2929dfb1
Added the midpont magnus exponential integrator
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff
changeset
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7 % v = krylov(k*D(t +k/2*t),v); |
512
4ef2d2a493f1
add H_xyz to hypsyst to compute H-norm
Ylva Rydin <ylva.rydin@telia.com>
parents:
509
diff
changeset
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8 % v = expm(k*D(t +k/2))*v; |
4ef2d2a493f1
add H_xyz to hypsyst to compute H-norm
Ylva Rydin <ylva.rydin@telia.com>
parents:
509
diff
changeset
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9 toler = 10^(-5); |
4ef2d2a493f1
add H_xyz to hypsyst to compute H-norm
Ylva Rydin <ylva.rydin@telia.com>
parents:
509
diff
changeset
|
10 expm_Arnoldi(-D,v,k,toler,100) |
505
49bc2929dfb1
Added the midpont magnus exponential integrator
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff
changeset
|
11 else |
49bc2929dfb1
Added the midpont magnus exponential integrator
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff
changeset
|
12 %v = krylov(k*D,v); |
512
4ef2d2a493f1
add H_xyz to hypsyst to compute H-norm
Ylva Rydin <ylva.rydin@telia.com>
parents:
509
diff
changeset
|
13 % v = expm(k*D)*v; |
505
49bc2929dfb1
Added the midpont magnus exponential integrator
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff
changeset
|
14 end |
49bc2929dfb1
Added the midpont magnus exponential integrator
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff
changeset
|
15 |
49bc2929dfb1
Added the midpont magnus exponential integrator
Ylva Rydin <ylva.rydin@telia.com>
parents:
diff
changeset
|
16 end |