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Commit 5a71c46a authored by Praetorius, Simon's avatar Praetorius, Simon
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Coefficients for rosenbrock methods corrected

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AMDiS/src/time/RosenbrockMethod.cc
+ 74
− 77
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......@@ -47,21 +47,21 @@ namespace AMDiS {
createData();
// b1(2) = 0.5
// b1(1) = 1-b1(2) = 0.5
// alpha(2,1) = 1/(2*b1(2)) = 1
// b(2) = 0.5
// b(1) = 1-b(2) = 0.5
// alpha(2,1) = 1/(2*b(2)) = 1
// gamma = 1+1/sqrt(2) = 1.707...
// gamma(2,1) = -gamma/b1(2) = -3.41421356237309
// b2(1) = 1
// b2(2) = 0
// gamma(2,1) = -gamma/b(2) = -3.41421356237309
// b_(1) = 1
// b_(2) = 0
a[0][0] = 0.0;
a[1][0] = 5.857864376269050e-01;
a[1][1] = a[1][0];
a[1][1] = 1.0;
c[0][0] = gamma;
c[1][0] = -1.171572875253810e+00;
c[1][1] = c[1][0] + gamma;
c[1][1] = -gamma;
m1[0] = 8.786796564403575e-01;
m1[1] = 2.928932188134525e-01;
......@@ -87,11 +87,11 @@ namespace AMDiS {
a[2][0] = 1.605996252195329e+00;
a[2][2] = 0.7;
c[0][0] = 0.435866521508459;
c[1][0] = 8.874044410657833e-01;
c[0][0] = gamma;
c[1][0] = 8.874044410657833e-01;
c[1][1] = 0.604455284065559;
c[2][0] = 2.398747971635036e+01;
c[2][1] = 5.263722371562129e+00;
c[2][0] = 2.398747971635036e+01;
c[2][1] = 5.263722371562129e+00;
c[2][2] = 6.37978879934488;
m1[0] = 2.236727045296590e+00;
......@@ -114,26 +114,26 @@ namespace AMDiS {
createData();
a[0][0] = 0.0;
a[1][0] = 1.26794919243112;
a[1][0] = 1.267949192431123;
a[1][1] = 1.0;
a[2][0] = 1.26794919243112;
a[2][0] = 1.267949192431123;
a[2][1] = 0.0;
a[2][2] = 1.0;
c[0][0] = 0.788675134594813;
c[1][0] = -1.60769515458674;
c[1][1] = -0.211324865405187;
c[2][0] = -3.46410161513775;
c[2][1] = -1.73205080756888;
c[2][2] = -1.07735026918963;
c[0][0] = gamma;
c[1][0] = -1.607695154586736;
c[1][1] = -0.2113248654051871;
c[2][0] = -3.464101615137755;
c[2][1] = -1.732050807568877;
c[2][2] = -1.077350269189626;
m1[0] = 2.0;
m1[1] = 0.577350269189625;
m1[2] = 0.422649730810374;
m1[1] = 0.5773502691896258;
m1[2] = 0.4226497308103742;
m2[0] = 2.11324865405187;
m2[0] = 2.113248654051871;
m2[1] = 1.0;
m2[2] = 0.422649730810374;
m2[2] = 0.4226497308103742;
MSG("Rosenbrock scheme Ros3p\n");
}
......@@ -143,26 +143,25 @@ namespace AMDiS {
{
order = 4;
stages = 6;
gamma = 2.5e-01;
gamma = 0.25;
createData();
a[0][0] = 0.0;
a[1][0] = 3.0;
// a[1][1] =
a[1][1] = 0.75;
a[2][0] = 1.831036793486759e+00;
a[2][1] = 4.955183967433795e-01;
// a[2][2] =
a[2][2] = 0.21;
a[3][0] = 2.304376582692669e+00;
a[3][1] = -5.249275245743001e-02;
a[3][2] = -1.176798761832782e+00;
// a[3][3] =
a[3][3] = 0.63;
a[4][0] = -7.170454962423025e+00;
a[4][1] = -4.741636671481786e+00;
a[4][2] = -1.631002631330971e+01;
a[4][3] = -1.062004044111401e+00;
// a[4][4] =
a[4][4] = 1.0;
a[5][0] = -7.170454962423025e+00;
a[5][1] = -4.741636671481785e+00;
a[5][2] = -1.631002631330971e+01;
......@@ -171,27 +170,26 @@ namespace AMDiS {
a[5][5] = 1.0;
c[0][0] = gamma;
c[1][0] = -1.200000000000000e+01;
// c[1][1] = 4.0;
c[1][1] = -0.5;
c[2][0] = -8.791795173947035e+00;
c[2][1] = -2.207865586973518e+00;
// c[2][2] = 4.0;
c[2][2] = -0.023504;
c[3][0] = 1.081793056857153e+01;
c[3][1] = 6.780270611428266e+00;
c[3][2] = 1.953485944642410e+01;
// c[3][3] = 4.0;
c[3][3] = -0.0362;
c[4][0] = 3.419095006749677e+01;
c[4][1] = 1.549671153725963e+01;
c[4][2] = 5.474760875964130e+01;
c[4][3] = 1.416005392148534e+01;
// c[4][4] = 4.0;
c[4][4] = 0.0;
c[5][0] = 3.462605830930533e+01;
c[5][1] = 1.530084976114473e+01;
c[5][2] = 5.699955578662667e+01;
c[5][3] = 1.840807009793095e+01;
c[5][4] = -5.714285714285717e+00;
// c[5][5] = 4.0;
c[5][5] = 0.0;
m1[0] = -7.170454962423026e+00;
m1[1] = -4.741636671481786e+00;
......@@ -206,7 +204,6 @@ namespace AMDiS {
m2[3] = -1.062004044111401e+00;
m2[4] = 1.0;
WARNING("You have to fill the diagonals of the coeffcients to use time derivatives of your operators!\n");
MSG("Rosenbrock scheme Rodasp\n");
}
......@@ -220,34 +217,34 @@ namespace AMDiS {
createData();
a[0][0] = 0.0;
a[1][0] = 1.14714018013952;
a[1][0] = 1.147140180139521;
a[1][1] = 0.5;
a[2][0] = 1.32930341703716;
a[2][0] = 1.785764587181959;
a[2][1] = 0.442124760965983;
a[2][2] = 0.75;
a[3][0] = -2.19977665049954;
a[3][1] = 4.55821087656518;
a[3][2] = -1.37361554490645;
a[3][0] = 2.506239510951673;
a[3][1] = 4.558210876565182;
a[3][2] = -1.373615544906449;
a[3][3] = 1.0;
c[0][0] = gamma;
c[1][0] = -0.263186118578107;
c[1][1] = 0.385866521508459;
c[2][0] = -3.35635061779949;
c[1][0] = -2.631861185781065;
c[1][1] = -0.064133478491541;
c[2][0] = -3.011310475541004;
c[2][1] = 0.334203214637756;
c[2][2] = -0.145563307177156;
c[3][0] = -2.6183067448488;
c[3][1] = -1.08994123815716;
c[3][2] = -1.71836543021444;
c[3][0] = -3.743590594301783;
c[3][1] = -1.089941238157158;
c[3][2] = -1.718365430214442;
c[3][3] = -0.135847884055848;
m1[0] = -1.24823690752574;
m1[1] = 3.9534178869996;
m1[2] = -1.21522771421847;
m1[3] = 1.16541744745931;
m1[0] = 2.833375148827832;
m1[1] = 3.953417886999603;
m1[2] = -1.215227714218472;
m1[3] = 1.165417447459307;
m2[0] = 0.919998349829964;
m2[1] = 1.77038079363523;
m2[0] = 2.747785798103605;
m2[1] = 1.770380793635233;
m2[2] = 0.257316038155499;
m2[3] = 0.343556220548095;
......@@ -264,36 +261,36 @@ namespace AMDiS {
createData();
a[0][0] = 0.0;
a[1][0] = 1.14714018013952;
a[1][0] = 1.147140180139521;
a[1][1] = 0.5;
a[2][0] = -0.79265181178863;
a[2][1] = 3.48693217206767;
a[2][0] = 2.807348188211369;
a[2][1] = 3.486932172067671;
a[2][2] = 1.0;
a[3][0] = -0.79265181178863;
a[3][1] = 3.48693217206767;
a[3][0] = a[2][0];
a[3][1] = a[2][1];
a[3][2] = 0.0;
a[3][3] = 1.0;
c[0][0] = gamma;
c[1][0] = -0.263186118578107;
c[1][1] = 0.385866521508459;
c[2][0] = -1.40507848232679;
c[2][1] = 6.18104102134041;
c[2][2] = 1.20849664917601;
c[3][0] = 4.99718323859189;
c[3][1] = -6.54597265243973;
c[1][0] = -2.631861185781065;
c[1][1] = -0.064133478491541;
c[2][0] = 4.976389977276388;
c[2][1] = 6.181041021340408;
c[2][2] = 1.208496649176010;
c[3][0] = -1.761050184345382;
c[3][1] = -6.545972652439727;
c[3][2] = -0.539706236424999;
c[3][3] = 0.0;
m1[0] = -0.792651811788631;
m1[1] = 3.48693217206767;
m1[0] = 2.807348188211369;
m1[1] = 3.486932172067672;
m1[2] = 0.0;
m1[3] = 1.0;
m2[0] = 6.55610198824936;
m2[1] = -5.94329934171132;
m2[0] = 0.420084258522926;
m2[1] = -5.943299341711317;
m2[2] = 0.360559439940373;
m2[3] = -3.34373891242489;
m2[3] = -3.343738912424890;
MSG("Rosenbrock scheme ROSI2P2\n");
}
......@@ -319,7 +316,7 @@ namespace AMDiS {
c[0][0] = gamma;
c[1][0] = -4.58856072055827;
c[1][1] = -0.435866521508468;
c[1][1] = -gamma;
c[2][0] = -4.56739138878308;
c[2][1] = -0.0683107605436897;
c[2][2] = -0.418867127163069;
......@@ -363,7 +360,7 @@ namespace AMDiS {
c[0][0] = gamma;
c[1][0] = -4.58856072055827;
c[1][1] = -0.435866521508468;
c[1][1] = -gamma;
c[2][0] = 48.3965596116246;
c[2][1] = 16.132186537208;
c[2][2] = 6.56544000523295;
......@@ -404,9 +401,9 @@ namespace AMDiS {
a[2][1] = 0.0;
a[2][2] = 0.5;
c[0][0] = 0.788675134594813;
c[0][0] = gamma;
c[1][0] = -2.53589838486225;
c[1][1] = -0.788675134594813;
c[1][1] = -gamma;
c[2][0] = -1.62740473580836;
c[2][1] = -0.274519052838329;
c[2][2] = -0.0528312163512967;
......@@ -446,9 +443,9 @@ namespace AMDiS {
a[3][2] = 2.29428036027904;
a[3][3] = 1.0;
c[0][0] = 0.435866521508459;
c[0][0] = gamma;
c[1][0] = -4.58856072055809;
c[1][1] = -0.435866521508459;
c[1][1] = -gamma;
c[2][0] = -4.18476048231916;
c[2][1] = 0.285192017355496;
c[2][2] = -0.413333376233886;
......
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