Density
🧩 Syntax:
Radial Transform Radial Grid Trefethen Error (Log10)
------------------------ -------------------------- ----------- ---------------
HandyModRTransform GaussChebyshev 2 -8.96559
HandyModRTransform FejerFirst 2 -8.94564
HandyModRTransform GaussLegendre 2 -8.93547
BeckeRTransform FejerSecond 1 -8.93038
HandyRTransform FejerSecond 1 -8.93038
HandyRTransform GaussChebyshevLobatto 1 -8.93004
BeckeRTransform GaussChebyshevLobatto 1 -8.93004
BeckeRTransform GaussChebyshevType2 1 -8.93
HandyRTransform GaussChebyshevType2 1 -8.93
HandyModRTransform GaussChebyshevType2 1 -8.9299
HandyModRTransform FejerSecond 1 -8.92984
BeckeRTransform GaussChebyshevType2 0 -8.92981
HandyRTransform GaussChebyshevType2 0 -8.92981
HandyModRTransform GaussLegendre 1 -8.92977
HandyRTransform FejerSecond 0 -8.92977
BeckeRTransform FejerSecond 0 -8.92977
BeckeRTransform GaussLegendre 0 -8.92976
BeckeRTransform FejerFirst 0 -8.92974
HandyRTransform FejerFirst 0 -8.92974
HandyRTransform GaussChebyshevLobatto 0 -8.92973
HandyRTransform GaussChebyshev 0 -8.92973
BeckeRTransform GaussChebyshev 0 -8.92973
BeckeRTransform GaussChebyshevLobatto 0 -8.92973
BeckeRTransform ClenshawCurtis 1 -8.92973
HandyRTransform ClenshawCurtis 1 -8.92973
HandyModRTransform FejerSecond 0 -8.92972
BeckeRTransform FejerFirst 1 -8.92972
HandyRTransform FejerFirst 1 -8.92972
HandyModRTransform GaussChebyshevLobatto 0 -8.92971
BeckeRTransform GaussChebyshev 1 -8.92971
HandyRTransform GaussChebyshev 1 -8.92971
HandyModRTransform GaussChebyshevType2 0 -8.92971
HandyModRTransform GaussChebyshevLobatto 1 -8.9297
BeckeRTransform GaussLegendre 1 -8.9297
HandyRTransform GaussLegendre 1 -8.9297
HandyModRTransform ClenshawCurtis 0 -8.9297
BeckeRTransform ClenshawCurtis 0 -8.92969
HandyRTransform ClenshawCurtis 0 -8.92969
HandyModRTransform FejerFirst 1 -8.92967
HandyModRTransform GaussLegendre 0 -8.92966
HandyModRTransform FejerFirst 0 -8.92966
HandyModRTransform GaussChebyshev 0 -8.92965
HandyModRTransform GaussChebyshev 1 -8.92965
HandyModRTransform ClenshawCurtis 1 -8.92963
HandyModRTransform ClenshawCurtis 2 -8.92046
BeckeRTransform GaussLegendre 2 -8.90992
HandyRTransform GaussLegendre 2 -8.90992
HandyRTransform ClenshawCurtis 2 -8.87921
BeckeRTransform ClenshawCurtis 2 -8.87921
HandyModRTransform GaussChebyshevType2 2 -8.87859
HandyModRTransform GaussChebyshevLobatto 2 -8.87852
HandyModRTransform FejerSecond 2 -8.87816
BeckeRTransform FejerFirst 2 -8.83079
HandyRTransform FejerFirst 2 -8.83079
BeckeRTransform GaussChebyshev 2 -8.82346
HandyRTransform GaussChebyshev 2 -8.82346
HandyRTransform GaussChebyshevType2 2 -8.81842
BeckeRTransform GaussChebyshevType2 2 -8.81842
HandyRTransform GaussChebyshevLobatto 2 -8.8118
BeckeRTransform GaussChebyshevLobatto 2 -8.8118
HandyRTransform FejerSecond 2 -8.77235
BeckeRTransform FejerSecond 2 -8.77235
KnowlesRTransform GaussLegendre 0 -8.7007
KnowlesRTransform FejerFirst 0 -8.69107
KnowlesRTransform ClenshawCurtis 0 -8.64118
KnowlesRTransform GaussChebyshev 0 -8.62135
KnowlesRTransform FejerFirst 1 -8.60352
KnowlesRTransform FejerSecond 0 -8.60319
KnowlesRTransform GaussChebyshevType2 0 -8.5867
KnowlesRTransform GaussChebyshevLobatto 0 -8.58549
KnowlesRTransform GaussLegendre 1 -8.5821
KnowlesRTransform ClenshawCurtis 1 -8.57373
KnowlesRTransform GaussChebyshev 1 -8.56657
KnowlesRTransform GaussChebyshevType2 1 -8.55144
KnowlesRTransform GaussChebyshevLobatto 1 -8.55139
KnowlesRTransform FejerSecond 1 -8.45612
HandyModRTransform MidPoint 0 -8.4146
KnowlesRTransform FejerFirst 2 -8.28187
KnowlesRTransform GaussChebyshev 2 -8.20808
KnowlesRTransform GaussLegendre 2 -8.2018
KnowlesRTransform ClenshawCurtis 2 -8.20177
HandyRTransform MidPoint 0 -8.18971
BeckeRTransform MidPoint 0 -8.18971
KnowlesRTransform GaussChebyshevType2 2 -8.1168
PowerRTransform GaussLaguerre 0 -8.10946
KnowlesRTransform GaussChebyshevLobatto 2 -8.10916
HandyModRTransform Trapezoidal 0 -8.10004
KnowlesRTransform FejerSecond 2 -7.87387
BeckeRTransform Trapezoidal 0 -7.85049
HandyRTransform Trapezoidal 0 -7.85049
HandyModRTransform MidPoint 1 -7.5647
BeckeRTransform Simpson 0 -7.49207
HandyRTransform Simpson 0 -7.49207
HandyModRTransform Trapezoidal 1 -7.39483
BeckeRTransform MidPoint 1 -7.04517
HandyRTransform MidPoint 1 -7.04517
BeckeRTransform Trapezoidal 1 -6.88862
HandyRTransform Trapezoidal 1 -6.88862
KnowlesRTransform MidPoint 0 -6.81699
KnowlesRTransform TanhSinh 2 -6.66121
KnowlesRTransform Trapezoidal 0 -6.5782
KnowlesRTransform Simpson 0 -6.57563
HandyModRTransform RectangleRuleSineEndPoints 0 -6.31842
HandyRTransform Simpson 1 -6.28807
BeckeRTransform Simpson 1 -6.28807
KnowlesRTransform TanhSinh 1 -6.21555
KnowlesRTransform MidPoint 1 -6.17881
KnowlesRTransform Trapezoidal 1 -5.9852
HandyRTransform RectangleRuleSineEndPoints 0 -5.77859
BeckeRTransform RectangleRuleSineEndPoints 0 -5.77859
KnowlesRTransform Simpson 1 -5.53479
KnowlesRTransform TanhSinh 0 -5.50081
HandyModRTransform RectangleRuleSineEndPoints 1 -5.48546
HandyModRTransform TanhSinh 2 -5.42788
HandyRTransform TanhSinh 2 -5.39437
BeckeRTransform TanhSinh 2 -5.39437
KnowlesRTransform RectangleRuleSineEndPoints 0 -5.38446
HandyRTransform RectangleRuleSineEndPoints 1 -4.95032
BeckeRTransform RectangleRuleSineEndPoints 1 -4.95032
ExpRTransform GaussLaguerre 0 -4.86713
HandyRTransform TanhSinh 1 -4.86474
BeckeRTransform TanhSinh 1 -4.86474
HandyModRTransform TanhSinh 1 -4.70471
KnowlesRTransform RectangleRuleSineEndPoints 1 -4.6743
BeckeRTransform TanhSinh 0 -4.17916
HandyRTransform TanhSinh 0 -4.17916
HandyModRTransform TanhSinh 0 -4.05734
HandyModRTransform RectangleRuleSineEndPoints 2 -4.00569
HandyModRTransform Simpson 2 -3.89973
HandyModRTransform MidPoint 2 -3.86439
HandyModRTransform Trapezoidal 2 -3.75888
BeckeRTransform RectangleRuleSineEndPoints 2 -3.6462
HandyRTransform RectangleRuleSineEndPoints 2 -3.6462
BeckeRTransform Simpson 2 -3.53248
HandyRTransform Simpson 2 -3.53248
LinearFiniteRTransform GaussChebyshevType2 0 -3.44344
LinearFiniteRTransform GaussChebyshev 0 -3.43639
KnowlesRTransform RectangleRuleSineEndPoints 2 -3.42597
LinearInfiniteRTransform GaussLaguerre 0 -3.41269
LinearFiniteRTransform ClenshawCurtis 0 -3.40959
LinearFiniteRTransform GaussChebyshevLobatto 0 -3.4071
KnowlesRTransform Simpson 2 -3.35786
LinearFiniteRTransform GaussLegendre 0 -3.35549
HandyRTransform MidPoint 2 -3.33056
BeckeRTransform MidPoint 2 -3.33056
LinearFiniteRTransform FejerFirst 0 -3.25951
HandyRTransform Trapezoidal 2 -3.21834
BeckeRTransform Trapezoidal 2 -3.21834
KnowlesRTransform MidPoint 2 -3.20062
KnowlesRTransform Trapezoidal 2 -2.99582
LinearFiniteRTransform FejerSecond 0 -2.86586
LinearFiniteRTransform GaussLegendre 1 -2.82932
LinearFiniteRTransform GaussChebyshev 1 -2.80366
LinearFiniteRTransform GaussChebyshevLobatto 1 -2.78582
LinearFiniteRTransform GaussChebyshevType2 1 -2.75362
LinearFiniteRTransform ClenshawCurtis 1 -2.69172
LinearFiniteRTransform FejerFirst 1 -2.55465
LinearFiniteRTransform FejerSecond 1 -2.29245
LinearFiniteRTransform TanhSinh 0 -2.22366
LinearFiniteRTransform TanhSinh 1 -2.14382
LinearFiniteRTransform TanhSinh 2 -1.86873
LinearFiniteRTransform GaussChebyshev 2 -1.34349
LinearFiniteRTransform GaussChebyshevType2 2 -1.31569
LinearFiniteRTransform FejerFirst 2 -1.31097
LinearFiniteRTransform GaussChebyshevLobatto 2 -1.29044
LinearFiniteRTransform ClenshawCurtis 2 -1.28898
LinearFiniteRTransform FejerSecond 2 -1.14414
LinearFiniteRTransform GaussLegendre 2 -1.13567
LinearFiniteRTransform MidPoint 0 -0.812253
LinearFiniteRTransform MidPoint 1 -0.114604
LinearFiniteRTransform Simpson 0 -0.0557317
LinearFiniteRTransform RectangleRuleSineEndPoints 0 -0.0500672
LinearFiniteRTransform Trapezoidal 0 -0.0411639
LinearFiniteRTransform Simpson 1 -0.00471505
LinearFiniteRTransform RectangleRuleSineEndPoints 1 -0.00429548
LinearFiniteRTransform Trapezoidal 1 -0.0035225
LinearFiniteRTransform MidPoint 2 -6.90396e-05
LinearFiniteRTransform Trapezoidal 2 -8.68392e-07
LinearFiniteRTransform Simpson 2 -6.72822e-07
LinearFiniteRTransform RectangleRuleSineEndPoints 2 -1.80887e-07
MultiExpRTransform RectangleRuleSineEndPoints 2 0.30078
MultiExpRTransform RectangleRuleSineEndPoints 1 0.301002
MultiExpRTransform RectangleRuleSineEndPoints 0 0.301009
MultiExpRTransform MidPoint 0 0.301025
MultiExpRTransform MidPoint 1 0.301025
MultiExpRTransform GaussChebyshevType2 2 0.301027
MultiExpRTransform FejerSecond 2 0.301028
MultiExpRTransform GaussLegendre 2 0.301029
MultiExpRTransform GaussChebyshevType2 1 0.301029
MultiExpRTransform GaussChebyshevType2 0 0.30103
MultiExpRTransform FejerSecond 1 0.30103
MultiExpRTransform FejerSecond 0 0.30103
MultiExpRTransform GaussLegendre 1 0.30103
MultiExpRTransform TanhSinh 2 0.30103
MultiExpRTransform GaussLegendre 0 0.30103
MultiExpRTransform FejerFirst 0 0.30103
MultiExpRTransform FejerFirst 2 0.30103
MultiExpRTransform FejerFirst 1 0.30103
MultiExpRTransform TanhSinh 1 0.30103
MultiExpRTransform GaussChebyshev 0 0.30103
MultiExpRTransform GaussChebyshev 1 0.30103
MultiExpRTransform TanhSinh 0 0.30103
MultiExpRTransform GaussChebyshev 2 0.301031
MultiExpRTransform MidPoint 2 0.301263
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