Mercurial > repos > public > sbplib_julia
annotate src/SbpOperators/operators/standard_diagonal.toml @ 886:0e170dcc6a9e feature/variable_derivatives
Fix syntax error on standard_diagonal.toml
author | Jonatan Werpers <jonatan@werpers.com> |
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date | Mon, 07 Feb 2022 14:32:29 +0100 |
parents | 61f5850ca456 |
children | 453fd1a2e858 |
rev | line source |
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591
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1 [meta] |
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2 authors = "Ken Mattson" |
762 | 3 description = "Standard operators for equidistant grids" |
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4 type = "equidistant" |
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5 cite = """ |
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6 Ken Mattsson, Jan Nordström, |
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7 Summation by parts operators for finite difference approximations of second derivatives, |
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8 Journal of Computational Physics, |
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9 Volume 199, Issue 2, |
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10 2004, |
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11 Pages 503-540, |
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12 ISSN 0021-9991, |
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13 https://doi.org/10.1016/j.jcp.2004.03.001. |
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14 """ |
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15 |
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16 [[stencil_set]] |
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17 |
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18 order = 2 |
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19 |
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20 H.inner = "1" |
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21 H.closure = ["1/2"] |
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22 |
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23 e.closure = ["1"] |
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24 d1.closure = {s = ["-3/2", "2", "-1/2"], c = 1} |
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25 |
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26 |
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27 D1.inner_stencil = ["-1/2", "0", "1/2"] |
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28 D1.closure_stencils = [ |
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29 {s = ["-1", "1"], c = 1}, |
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30 ] |
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31 |
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32 D2.inner_stencil = ["1", "-2", "1"] |
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33 D2.closure_stencils = [ |
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34 {s = ["1", "-2", "1"], c = 1}, |
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35 ] |
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36 |
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37 D2variable.inner_stencil = [["1/2", "1/2", "0"],[ "-1/2", "-1", "-1/2"],["0", "1/2", "1/2"]] |
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38 D2variable.closure_stencils = [ |
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39 {s = [["2", "-1", "0"],["-3", "1", "0"],["1","0","0"]], c = 1}, |
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40 ] |
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41 |
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42 [[stencil_set]] |
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43 |
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44 order = 4 |
853 | 45 |
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46 H.inner = "1" |
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47 H.closure = ["17/48", "59/48", "43/48", "49/48"] |
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48 |
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49 e.closure = ["1"] |
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50 d1.closure = {s = ["-11/6", "3", "-3/2", "1/3"], c = 1} |
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51 |
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52 D1.inner_stencil = ["1/12","-2/3","0","2/3","-1/12"] |
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53 D1.closure_stencils = [ |
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54 {s = [ "-24/17", "59/34", "-4/17", "-3/34", "0", "0"], c = 1}, |
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55 {s = [ "-1/2", "0", "1/2", "0", "0", "0"], c = 2}, |
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56 {s = [ "4/43", "-59/86", "0", "59/86", "-4/43", "0"], c = 3}, |
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57 {s = [ "3/98", "0", "-59/98", "0", "32/49", "-4/49"], c = 4}, |
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58 ] |
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59 |
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60 D2.inner_stencil = ["-1/12","4/3","-5/2","4/3","-1/12"] |
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61 D2.closure_stencils = [ |
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62 {s = [ "2", "-5", "4", "-1", "0", "0"], c = 1}, |
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63 {s = [ "1", "-2", "1", "0", "0", "0"], c = 2}, |
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64 {s = [ "-4/43", "59/43", "-110/43", "59/43", "-4/43", "0"], c = 3}, |
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65 {s = [ "-1/49", "0", "59/49", "-118/49", "64/49", "-4/49"], c = 4}, |
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66 ] |
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67 |
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68 D2variable.inner_stencil = [ |
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69 ["-1/8", "1/6", "-1/8", "0", "0" ], |
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70 [ "1/6", "1/2", "1/2", "1/6", "0" ], |
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71 ["-1/24", "-5/6", "-3/4", "-5/6", "-1/24"], |
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72 [ "0", "1/6", "1/2", "1/2", "1/6" ], |
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73 [ "0", "0", "-1/8", "1/6", "-1/8" ], |
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74 ] |
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75 D2variable.closure_stencils = [ |
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76 {c = 1, s = [ |
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77 [ "920/289", "-59/68", "-81031200387/366633756146", "-69462376031/733267512292", "0", "0", "0", "0" ], |
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78 ["-1740/289", "0", "6025413881/7482321554", "1612249989/7482321554", "0", "0", "0", "0" ], |
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79 [ "1128/289", "59/68", "-6251815797/8526366422", "-639954015/17052732844", "0", "0", "0", "0" ], |
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80 [ "-308/289", "0", "1244724001/7482321554", "-752806667/7482321554", "0", "0", "0", "0" ], |
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81 [ "0", "0", "-148737261/10783345769", "148737261/10783345769", "0", "0", "0", "0" ], |
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82 [ "0", "0", "-3/833", "3/833", "0", "0", "0", "0" ], |
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83 ]}, |
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84 {c = 2, s = [ |
886
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85 [ "12/17", "0", "102125659/440136562", "27326271/440136562", "0", "0", "0", "0" ], |
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86 [ "-59/68", "0", "-156920047993625/159775733917868", "-12001237118451/79887866958934", "0", "0", "0", "0" ], |
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87 [ "2/17", "0", "1489556735319/1857857371138", "149729180391/1857857371138", "0", "0", "0", "0" ], |
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88 [ "3/68", "0", "-13235456910147/159775733917868", "3093263736297/79887866958934", "0", "0", "0", "0" ], |
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89 [ "0", "0", "67535018271/2349643145851", "-67535018271/2349643145851", "0", "0", "0", "0" ], |
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90 [ "0", "0", "441/181507", "-441/181507", "0", "0", "0", "0" ], |
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91 ]}, |
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92 {c = 3, s = [ |
886
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93 [ "-96/731", "59/172", "-6251815797/21566691538", "-639954015/43133383076", "0", "0", "0", "0" ], |
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94 [ "118/731", "0", "87883847383821/79887866958934", "8834021643069/79887866958934", "0", "0", "0", "0" ], |
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95 [ "-16/731", "-59/172", "-1134866646907639536627/727679167377258785038", "-13777050223300597/23487032885926596", "-26254/557679", "0", "0", "0" ], |
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96 [ "-6/731", "0", "14509020271326561681/14850595252597118062", "17220493277981/79887866958934", "1500708/7993399", "0", "0", "0" ], |
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97 [ "0", "0", "-4841930283098652915/21402328452272317207", "31597236232005/115132514146699", "-26254/185893", "0", "0", "0" ], |
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98 [ "0", "0", "-2318724711/1653303156799", "960119/1147305747", "13564/23980197", "0", "0", "0" ], |
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99 ]}, |
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100 {c = 4, s = [ |
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101 [ "-36/833", "0", "1244724001/21566691538", "-752806667/21566691538", "0", "0", "0", "0" ], |
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102 [ "177/3332", "0", "-780891957698673/7829010961975532", "3724542049827/79887866958934", "0", "0", "0", "0" ], |
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103 [ "-6/833", "0", "14509020271326561681/16922771334354855466", "2460070468283/13005001597966", "1500708/9108757", "0", "0", "0" ], |
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104 [ "-9/3332", "0", "-217407431400324796377/207908333536359652868", "-1950062198436997/3914505480987766", "-7476412/9108757", "-2/49", "0", "0" ], |
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105 [ "0", "0", "4959271814984644613/21402328452272317207", "47996144728947/115132514146699", "4502124/9108757", "8/49", "0", "0" ], |
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106 [ "0", "0", "-2258420001/1653303156799", "-1063649/8893843", "1473580/9108757", "-6/49", "0", "0" ], |
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107 ]}, |
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108 {c = 5, s = [ |
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109 [ "0", "0", "-49579087/10149031312", "49579087/10149031312", "0", "0", "0", "0" ], |
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110 [ "0", "0", "1328188692663/37594290333616", "-1328188692663/37594290333616", "0", "0", "0", "0" ], |
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111 [ "0", "0", "-1613976761032884305/7963657098519931984", "10532412077335/42840005263888", "-564461/4461432", "0", "0", "0" ], |
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112 [ "0", "0", "4959271814984644613/20965546238960637264", "15998714909649/37594290333616", "375177/743572", "1/6", "0", "0" ], |
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113 [ "0", "0", "-8386761355510099813/128413970713633903242", "-2224717261773437/2763180339520776", "-280535/371786", "-5/6", "-1/24", "0" ], |
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114 [ "0", "0", "13091810925/13226425254392", "35039615/213452232", "1118749/2230716", "1/2", "1/6", "0" ], |
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115 [ "0", "0", "0", "0", "-1/8", "1/6", "-1/8", "0" ], |
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116 ]}, |
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117 {c = 6, s = [ |
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118 [ "0", "0", "-1/784", "1/784", "0", "0", "0", "0" ], |
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119 [ "0", "0", "8673/2904112", "-8673/2904112", "0", "0", "0", "0" ], |
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120 [ "0", "0", "-33235054191/26452850508784", "960119/1280713392", "3391/6692148", "0", "0", "0" ], |
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121 [ "0", "0", "-752806667/539854092016", "-1063649/8712336", "368395/2230716", "-1/8", "0", "0" ], |
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122 [ "0", "0", "13091810925/13226425254392", "35039615/213452232", "1118749/2230716", "1/2", "1/6", "0" ], |
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123 [ "0", "0", "-660204843/13226425254392", "-3290636/80044587", "-5580181/6692148", "-3/4", "-5/6", "-1/24"], |
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124 [ "0", "0", "0", "0", "1/6", "1/2", "1/2", "1/6" ], |
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125 [ "0", "0", "0", "0", "0", "-1/8", "1/6", "-1/8" ], |
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126 ]} |
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127 ] |
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128 |
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129 |
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130 |
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131 [[stencil_set]] |
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132 |
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133 order = 6 |
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134 |
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135 H.inner = "1" |
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136 H.closure = ["13649/43200", "12013/8640", "2711/4320", "5359/4320", "7877/8640", "43801/43200"] |
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137 |
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138 |
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139 |
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140 |
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141 |
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142 e.closure = ["1"] |
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143 d1.closure = ["-25/12", "4", "-3", "4/3", "-1/4"] |