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First 100 Eigenvalues

Number Finite Element Method Pointwise Method Predicted Eigenvalues Error
0 0.0000 -0.0000 0.0000 1.012
1 10.1156 10.1149 10.1152 0.000
2 30.3592 30.3536 30.3557 0.000
3 39.2172 39.2076 39.2112 0.000
4 65.5468 65.5203 65.5302 0.000
5 89.4528 89.4031 89.4217 0.001
6 114.9417 114.8615 114.8916 0.001
7 153.9311 153.7848 153.8397 0.001
8 167.1726 167.0049 167.0678 0.001
9 190.2977 190.0755 190.1588 0.001
10 250.6334 250.2545 250.3966 0.002
11 292.3585 291.8413 292.0352 0.002
12 314.9139 314.3184 314.5417 0.002
13 374.6110 373.7789 374.0909 0.002
14 404.2328 403.2944 403.6463 0.002
15 456.5437 455.3179 455.7776 0.003
16 475.7787 474.4161 474.9271 0.003
17 529.2077 527.5297 528.1590 0.003
18 597.2559 595.1030 595.9103 0.004
19 637.3978 635.1242 635.9768 0.004
20 668.8165 666.4624 667.3452 0.004
21 747.8360 744.4764 745.7363 0.004
22 783.0290 779.4092 780.7666 0.005
23 828.3392 824.8275 826.1444 0.004
24 863.1762 858.9677 860.5459 0.005
25 985.6018 979.4421 981.7520 0.006
26 1017.6049 1011.9550 1014.0737 0.006
27 1052.1307 1046.0112 1048.3060 0.006
28 1125.4073 1119.7403 1121.8654 0.005
29 1196.0900 1187.6721 1190.8288 0.007
30 1235.2152 1226.7352 1229.9152 0.007
31 1286.9770 1277.5101 1281.0602 0.007
32 1308.1238 1297.9774 1301.7823 0.008
33 1380.3113 1369.2879 1373.4217 0.008
34 1404.8966 1392.6272 1397.2282 0.009
35 1474.5221 1462.4323 1466.9660 0.008
36 1584.4747 1568.9454 1574.7689 0.010
37 1626.6611 1612.5436 1617.8376 0.009
38 1701.5846 1685.5406 1691.5571 0.009
39 1812.0368 1794.4571 1801.0495 0.010
40 1829.5792 1811.9681 1818.5722 0.010
41 1910.3865 1889.6016 1897.3960 0.011
42 1936.8863 1917.0796 1924.5071 0.010
43 1980.9988 1957.8991 1966.5615 0.012
44 2067.5138 2042.6855 2051.9961 0.012
45 2147.0327 2121.6990 2131.1992 0.012
46 2156.8526 2133.4960 2142.2547 0.011
47 2206.2975 2177.6625 2188.4006 0.013
48 2311.3851 2280.6123 2292.1521 0.013
49 2380.3002 2351.5659 2362.3413 0.012
50 2534.6604 2494.7198 2509.6975 0.016
51 2600.1506 2563.2349 2577.0783 0.014
52 2691.8087 2649.2584 2665.2147 0.016
53 2750.3858 2705.7706 2722.5013 0.016
54 2877.4567 2828.0011 2846.5469 0.017
55 2922.4723 2878.6596 2895.0894 0.015
56 2949.6122 2894.3604 2915.0799 0.019
57 3036.6847 2972.1830 2996.3711 0.021
58 3055.5156 3001.4305 3021.7124 0.018
59 3168.5866 3109.1674 3131.4496 0.019
60 3306.8237 3241.5336 3266.0174 0.020
61 3391.2141 3330.3966 3353.2031 0.018
62 3420.2118 3354.7891 3379.3226 0.019
63 3460.4231 3396.7399 3420.6211 0.018
64 3529.6190 3456.7114 3484.0518 0.021
65 3630.8242 3553.0180 3582.1953 0.021
66 3656.7226 3580.0424 3608.7975 0.021
67 3724.6698 3645.8076 3675.3809 0.021
68 3921.4360 3841.8092 3871.6693 0.020
69 4003.8652 3916.5666 3949.3036 0.022
70 4054.2584 3949.3570 3988.6950 0.026
71 4166.5139 4071.4645 4107.1081 0.023
72 4320.7019 4211.7835 4252.6279 0.025
73 4410.7553 4295.1039 4338.4732 0.026
74 4419.6384 4302.3395 4346.3266 0.027
75 4688.0792 4557.9778 4606.7658 0.028
76 4689.4651 4576.4788 4618.8487 0.024
77 4723.9116 4580.3557 4634.1891 0.030
78 4732.6804 4600.9977 4650.3787 0.028
79 4899.7759 4761.6713 4813.4605 0.028
80 4956.2863 4788.0176 4851.1183 0.034
81 5081.6393 4927.8895 4985.5456 0.030
82 5147.2435 4976.6589 5040.6281 0.033
83 5303.4147 5134.6175 5197.9165 0.032
84 5409.6635 5249.3045 5309.4391 0.030
85 5458.9766 5297.9051 5358.3069 0.030
86 5554.5116 5386.4377 5449.4654 0.030
87 5576.6192 5400.5313 5466.5642 0.032
88 5659.1006 5471.6817 5541.9638 0.033
89 5667.2311 5482.8717 5552.0065 0.033
90 5837.3608 5632.1502 5709.1041 0.035
91 5906.7277 5699.4800 5777.1979 0.035
92 6008.0234 5803.3934 5880.1297 0.034
93 6168.6414 5952.5184 6033.5645 0.035
94 6330.3868 6119.2950 6198.4544 0.033
95 6432.6068 6204.8559 6290.2625 0.035
96 6501.8842 6218.4930 6324.7647 0.044
97 6511.5114 6265.1938 6357.5629 0.038
98 6699.7824 6440.4581 6537.7047 0.039
99 6744.2157 6478.9231 6578.4078 0.039
100 6945.8996 6659.2544 6766.7464 0.041