📄 glagtable.m
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x(7) = 6.256725073949110; w(7) = 3.660179767759904e-03;
x(8) = 8.327825156605627; w(8) = 5.406227870077342e-04;
x(9) = 10.737990047757604; w(9) = 5.616965051214256e-05;
x(10) = 13.513656207555096; w(10) = 4.015307883701155e-06;
x(11) = 16.689306281930094; w(11) = 1.914669856675682e-07;
x(12) = 20.310767626267747; w(12) = 5.836095268631618e-09;
x(13) = 24.440681359283698; w(13) = 1.071711266955400e-10;
x(14) = 29.168208662579627; w(14) = 1.089098713888835e-12;
x(15) = 34.627927065660188; w(15) = 5.386664748378341e-15;
x(16) = 41.041816772808737; w(16) = 1.049865978035703e-17;
x(17) = 48.833922716086562; w(17) = 5.405398451630974e-21;
x(18) = 59.090546435901260; w(18) = 2.691653269201047e-25;
case 19
% nodes weights
x(1) = 0.074158783757206; w(1) = 1.767684749159133e-01;
x(2) = 0.391268613319995; w(2) = 3.004781436072535e-01;
x(3) = 0.963957343997959; w(3) = 2.675995470381755e-01;
x(4) = 1.796175582068327; w(4) = 1.599133721355806e-01;
x(5) = 2.893651381873784; w(5) = 6.824937997614915e-02;
x(6) = 4.264215539627767; w(6) = 2.123930760654438e-02;
x(7) = 5.918141561644051; w(7) = 4.841627351148375e-03;
x(8) = 7.868618915334737; w(8) = 8.049127473813633e-04;
x(9) = 10.132423716815268; w(9) = 9.652472093153448e-05;
x(10) = 12.730881463842405; w(10) = 8.207305258050987e-06;
x(11) = 15.691278339835906; w(11) = 4.830566724730710e-07;
x(12) = 19.048993209823550; w(12) = 1.904991361123320e-08;
x(13) = 22.850849760829462; w(13) = 4.816684630928128e-10;
x(14) = 27.160669327411444; w(14) = 7.348258839551074e-12;
x(15) = 32.069122251862268; w(15) = 6.202275387572570e-14;
x(16) = 37.712905801219598; w(16) = 2.541430843015534e-16;
x(17) = 44.317362795831521; w(17) = 4.078861296825621e-19;
x(18) = 52.312902457404377; w(18) = 1.707750187593848e-22;
x(19) = 62.802423153500371; w(19) = 6.715064649908208e-27;
case 20
% nodes weights
x(1) = 0.070539889691989; w(1) = 1.687468018511149e-01;
x(2) = 0.372126818001612; w(2) = 2.912543620060674e-01;
x(3) = 0.916582102483273; w(3) = 2.666861028670004e-01;
x(4) = 1.707306531028342; w(4) = 1.660024532695066e-01;
x(5) = 2.749199255309430; w(5) = 7.482606466879230e-02;
x(6) = 4.048925313850887; w(6) = 2.496441730928328e-02;
x(7) = 5.615174970861620; w(7) = 6.202550844572215e-03;
x(8) = 7.459017453671069; w(8) = 1.144962386476901e-03;
x(9) = 9.594392869581101; w(9) = 1.557417730278111e-04;
x(10) = 12.038802546964321; w(10) = 1.540144086522490e-05;
x(11) = 14.814293442630746; w(11) = 1.086486366517978e-06;
x(12) = 17.948895520519379; w(12) = 5.330120909556746e-08;
x(13) = 21.478788240285017; w(13) = 1.757981179050583e-09;
x(14) = 25.451702793186890; w(14) = 3.725502402512387e-11;
x(15) = 29.932554631700611; w(15) = 4.767529251578165e-13;
x(16) = 35.013434240479008; w(16) = 3.372844243362378e-15;
x(17) = 40.833057056728528; w(17) = 1.155014339500410e-17;
x(18) = 47.619994047346424; w(18) = 1.539522140582393e-20;
x(19) = 55.810795750063882; w(19) = 5.286442725569194e-24;
x(20) = 66.524416525615734; w(20) = 1.656456612499026e-28;
case 21
% nodes weights
x(1) = 0.067257817923162; w(1) = 1.614201001816388e-01;
x(2) = 0.354772895323512; w(2) = 2.824935645829945e-01;
x(3) = 0.873660166778642; w(3) = 2.652545755139000e-01;
x(4) = 1.626869941929211; w(4) = 1.713193963900214e-01;
x(5) = 2.618626410545548; w(5) = 8.112662589235328e-02;
x(6) = 3.854652138109764; w(6) = 2.881630176776937e-02;
x(7) = 5.342369280622438; w(7) = 7.734239426118691e-03;
x(8) = 7.091168813219679; w(8) = 1.567481390421184e-03;
x(9) = 9.112778854269704; w(9) = 2.384226587634135e-04;
x(10) = 11.421771762378389; w(10) = 2.693007343968608e-05;
x(11) = 14.036270697873757; w(11) = 2.224790793645034e-06;
x(12) = 16.978952692783839; w(12) = 1.317334497432325e-07;
x(13) = 20.278509414993742; w(13) = 5.443952290646403e-09;
x(14) = 23.971845587151481; w(14) = 1.516366205198049e-10;
x(15) = 28.107528600944310; w(15) = 2.717883118058924e-12;
x(16) = 32.751497410560859; w(16) = 2.942519354071892e-14;
x(17) = 37.997187819260901; w(17) = 1.759074035797758e-16;
x(18) = 43.985245757142245; w(18) = 5.073802227171857e-19;
x(19) = 50.947351189940001; w(19) = 5.659720870324156e-22;
x(20) = 59.325994120230057; w(20) = 1.606260924799303e-25;
x(21) = 70.255688628018987; w(21) = 4.044133927115962e-30;
case 22
% nodes weights
x(1) = 0.064267628744808; w(1) = 1.547019876398929e-01;
x(2) = 0.338967254814911; w(2) = 2.741750823285652e-01;
x(3) = 0.834589985449178; w(3) = 2.634097015356333e-01;
x(4) = 1.553713386750029; w(4) = 1.759346092630729e-01;
x(5) = 2.500006236736174; w(5) = 8.712562217220969e-02;
x(6) = 3.678420344463639; w(6) = 3.275268789653855e-02;
x(7) = 5.095349068968740; w(7) = 9.424900256998254e-03;
x(8) = 6.758835515813549; w(8) = 2.077335752654618e-03;
x(9) = 8.678853313678429; w(9) = 3.491673714923024e-04;
x(10) = 10.867686893540569; w(10) = 4.438219314066132e-05;
x(11) = 13.340451051495238; w(11) = 4.214229901104629e-06;
x(12) = 16.115811338766310; w(12) = 2.940668246130181e-07;
x(13) = 19.217003684901339; w(13) = 1.476193826389766e-08;
x(14) = 22.673316601434554; w(14) = 5.186423025724953e-10;
x(15) = 26.522319587637117; w(15) = 1.230526251554398e-11;
x(16) = 30.813357944506542; w(16) = 1.880465509631468e-13;
x(17) = 35.613335203196172; w(17) = 1.735564139126855e-15;
x(18) = 41.016968598471671; w(18) = 8.831402308327170e-18;
x(19) = 47.166757849153512; w(19) = 2.160718646818207e-20;
x(20) = 54.297385256578849; w(20) = 2.031119967583335e-23;
x(21) = 62.857096246298937; w(21) = 4.797903520990897e-27;
x(22) = 73.995507008599532; w(22) = 9.780246506683544e-32;
case 23
% nodes weights
x(1) = 0.061532037757520; w(1) = 1.485197990820467e-01;
x(2) = 0.324511329154553; w(2) = 2.662763422220287e-01;
x(3) = 0.798873968692984; w(3) = 2.612370674653506e-01;
x(4) = 1.486886334222197; w(4) = 1.799149140382857e-01;
x(5) = 2.391755829792768; w(5) = 9.280788216398930e-02;
x(6) = 3.517797442503534; w(6) = 3.673579259475957e-02;
x(7) = 4.870560368733451; w(7) = 1.126058922254349e-02;
x(8) = 6.456991306767736; w(8) = 2.677540143126999e-03;
x(9) = 8.285651892598002; w(9) = 4.923896728665586e-04;
x(10) = 10.367009043445769; w(10) = 6.956649894243928e-05;
x(11) = 12.713825028162598; w(11) = 7.476361523134085e-06;
x(12) = 15.341687572888507; w(12) = 6.030632412462966e-07;
x(13) = 18.269742393895992; w(13) = 3.588339690021515e-08;
x(14) = 21.521727850814141; w(14) = 1.540551240061165e-09;
x(15) = 25.127477130115508; w(15) = 4.639077530348996e-11;
x(16) = 29.125175108751012; w(16) = 9.446912374131420e-13;
x(17) = 33.564896563116399; w(17) = 1.239741169314352e-14;
x(18) = 38.514459677180717; w(18) = 9.821168268011364e-17;
x(19) = 44.069807814871254; w(19) = 4.281846844983449e-19;
x(20) = 50.375226603043814; w(20) = 8.943238836296874e-22;
x(21) = 57.668304350434092; w(21) = 7.129396795317911e-25;
x(22) = 66.402873068345201; w(22) = 1.410767108895284e-28;
x(23) = 77.743227284712361; w(23) = 2.344614766311685e-33;
case 24
% nodes weights
x(1) = 0.059019852181508; w(1) = 1.428119733347820e-01;
x(2) = 0.311239146198483; w(2) = 2.587741075174232e-01;
x(3) = 0.766096905545936; w(3) = 2.588067072728699e-01;
x(4) = 1.425597590803613; w(4) = 1.833226889777778e-01;
x(5) = 2.292562058632190; w(5) = 9.816627262991875e-02;
x(6) = 3.370774264208996; w(6) = 4.073247815140859e-02;
x(7) = 4.665083703467167; w(7) = 1.322601940512009e-02;
x(8) = 6.181535118736766; w(8) = 3.369349058478263e-03;
x(9) = 7.927539247172152; w(9) = 6.721625640935491e-04;
x(10) = 9.912098015077705; w(10) = 1.044612146592746e-04;
x(11) = 12.146102711729773; w(11) = 1.254472197799318e-05;
x(12) = 14.642732289596678; w(12) = 1.151315812737269e-06;
x(13) = 17.417992646508981; w(13) = 7.960812959133550e-08;
x(14) = 20.491460082616438; w(14) = 4.072858987549957e-09;
x(15) = 23.887329848169752; w(15) = 1.507008226292567e-10;
x(16) = 27.635937174332742; w(16) = 3.917736515058387e-12;
x(17) = 31.776041352374715; w(17) = 6.894181052958219e-14;
x(18) = 36.358405801651614; w(18) = 7.819800382459429e-16;
x(19) = 41.451720484870776; w(19) = 5.350188813009955e-18;
x(20) = 47.153106445156318; w(20) = 2.010517464555523e-20;
x(21) = 53.608574544695017; w(21) = 3.605765864553080e-23;
x(22) = 61.058531447218769; w(22) = 2.451818845878402e-26;
x(23) = 69.962240035105083; w(23) = 4.088301593680406e-30;
x(24) = 81.498279233948836; w(24) = 5.575345788328487e-35;
case 15
% nodes weights
x(1) = 0.093307812017282; w(1) = 2.182348859400872e-01;
x(2) = 0.492691740301884; w(2) = 3.422101779228834e-01;
x(3) = 1.215595412070949; w(3) = 2.630275779416803e-01;
x(4) = 2.269949526203743; w(4) = 1.264258181059306e-01;
x(5) = 3.667622721751437; w(5) = 4.020686492100094e-02;
x(6) = 5.425336627413556; w(6) = 8.563877803611813e-03;
x(7) = 7.565916226613068; w(7) = 1.212436147214254e-03;
x(8) = 10.120228568019114; w(8) = 1.116743923442522e-04;
x(9) = 13.130282482175724; w(9) = 6.459926762022885e-06;
x(10) = 16.654407708329966; w(10) = 2.226316907096266e-07;
x(11) = 20.776478899448776; w(11) = 4.227430384979381e-09;
x(12) = 25.623894226728787; w(12) = 3.921897267041136e-11;
x(13) = 31.407519169753943; w(13) = 1.456515264073122e-13;
x(14) = 38.530683306485990; w(14) = 1.483027051113311e-16;
x(15) = 48.026085572685794; w(15) = 1.600594906211129e-20;
case 25
% nodes weights
x(1) = 0.056704775452706; w(1) = 1.375260142293455e-01;
x(2) = 0.299010898586989; w(2) = 2.516452737649086e-01;
x(3) = 0.735909555435016; w(3) = 2.561760028097560e-01;
x(4) = 1.369183116035193; w(4) = 1.862154903624361e-01;
x(5) = 2.201326053721465; w(5) = 1.031998481075207e-01;
x(6) = 3.235675803558034; w(6) = 4.471416112993361e-02;
x(7) = 4.476496615073830; w(7) = 1.530523288639544e-02;
x(8) = 5.929083762700445; w(8) = 4.152414632877108e-03;
x(9) = 7.599899309956746; w(9) = 8.920990732596834e-04;
x(10) = 9.496749220932433; w(10) = 1.511560191642415e-04;
x(11) = 11.629014911778741; w(11) = 2.006553180193321e-05;
x(12) = 14.007957976545065; w(12) = 2.067774396431873e-06;
x(13) = 16.647125597288777; w(13) = 1.634652022291161e-07;
x(14) = 19.562898011469052; w(14) = 9.766015062124498e-09;
x(15) = 22.775241986835038; w(15) = 4.327720794184913e-10;
x(16) = 26.308772390968887; w(16) = 1.389600963389507e-11;
x(17) = 30.194291163316109; w(17) = 3.138922792539912e-13;
x(18) = 34.471097571922037; w(18) = 4.802614822604315e-15;
x(19) = 39.190608803937415; w(19) = 4.735885364807389e-17;
x(20) = 44.422349336161965; w(20) = 2.814205379843154e-19;
x(21) = 50.264574993833534; w(21) = 9.164954395991217e-22;
x(22) = 56.864967173940222; w(22) = 1.418940009497175e-24;
x(23) = 64.466670615954172; w(23) = 8.273651944099073e-28;
x(24) = 73.534234792100108; w(24) = 1.168881711542845e-31;
x(25) = 85.260155562495967; w(25) = 1.315831500059124e-36;
otherwise
error(sprintf('Gauss-Laguerre quadrature with %d nodes not supported',nn));
end
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