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First 100 Eigenvalues

Number Finite Element Method Pointwise Method Predicted Eigenvalues Error
0 0.0000 -0.0000 0.0000 1.257
1 9.0414 9.0406 9.0409 0.000
2 26.3567 26.3493 26.3521 0.000
3 39.8317 39.8147 39.8211 0.000
4 62.6169 62.5773 62.5922 0.001
5 83.9572 83.8916 83.9162 0.001
6 97.2195 97.1194 97.1569 0.001
7 139.0271 138.8238 138.9000 0.001
8 146.9808 146.7431 146.8322 0.002
9 196.2108 195.8381 195.9778 0.002
10 212.9965 212.4779 212.6724 0.002
11 243.9394 243.2661 243.5186 0.003
12 290.0818 289.2502 289.5621 0.003
13 310.9760 309.8628 310.2803 0.004
14 334.7946 333.5530 334.0186 0.004
15 400.1850 398.3897 399.0630 0.004
16 424.8798 423.2787 423.8791 0.004
17 459.4972 457.1630 458.0383 0.005
18 491.9276 489.1846 490.2132 0.006
19 518.4640 515.3984 516.5480 0.006
20 590.1532 586.4198 587.8199 0.006
21 607.9478 603.8230 605.3698 0.007
22 644.1101 640.4426 641.8179 0.006
23 684.9693 679.9494 681.8318 0.007
24 731.3669 725.4621 727.6764 0.008
25 767.7550 761.1927 763.6536 0.009
26 836.5580 829.8145 832.3433 0.008
27 882.9706 874.4414 877.6398 0.010
28 890.2257 881.3965 884.7074 0.010
29 939.3011 931.3058 934.3040 0.009
30 969.1813 959.8897 963.3740 0.010
31 1020.2762 1008.8813 1013.1544 0.011
32 1095.6072 1082.1040 1087.1677 0.012
33 1148.8474 1134.2044 1139.6955 0.013
34 1241.5598 1226.5571 1232.1831 0.012
35 1287.9360 1270.2427 1276.8777 0.014
36 1311.8059 1292.5383 1299.7637 0.015
37 1339.1164 1319.0897 1326.5997 0.015
38 1420.3010 1404.1279 1410.1928 0.011
39 1427.6950 1409.8246 1416.5260 0.013
40 1510.4754 1487.4439 1496.0807 0.015
41 1528.8816 1505.5037 1514.2704 0.015
42 1631.6476 1601.7496 1612.9613 0.018
43 1710.3294 1678.4597 1690.4108 0.019
44 1797.6350 1768.9840 1779.7282 0.016
45 1889.3537 1851.6383 1865.7816 0.020
46 1909.1792 1872.6799 1886.3671 0.019
47 1958.1652 1915.5053 1931.5028 0.022
48 2002.9137 1956.7026 1974.0318 0.023
49 2017.8501 1984.4125 1996.9516 0.017
50 2110.3048 2064.3005 2081.5521 0.022
51 2125.4038 2089.2396 2102.8011 0.017
52 2153.9341 2109.4940 2126.1590 0.021
53 2251.6881 2201.5798 2220.3705 0.022
54 2278.5568 2228.6576 2247.3698 0.022
55 2432.9066 2366.8388 2391.6142 0.027
56 2461.2844 2412.8640 2431.0217 0.020
57 2550.2885 2479.9741 2506.3420 0.028
58 2635.3968 2576.8256 2598.7898 0.022
59 2729.8441 2663.3030 2688.2559 0.024
60 2832.2579 2748.4698 2779.8904 0.030
61 2853.1684 2770.1420 2801.2769 0.029
62 2922.2525 2827.5388 2863.0564 0.032
63 2960.8687 2868.7171 2903.2740 0.031
64 2988.8260 2885.8260 2924.4510 0.034
65 3009.1106 2924.9217 2956.4925 0.028
66 3084.9277 2986.8270 3023.6148 0.032
67 3186.3899 3105.4054 3135.7746 0.025
68 3237.5845 3146.2856 3180.5227 0.028
69 3365.7246 3260.6707 3300.0659 0.031
70 3406.8495 3300.4709 3340.3629 0.031
71 3496.7685 3384.2333 3426.4340 0.032
72 3519.7923 3406.4664 3448.9636 0.032
73 3641.2242 3496.5283 3550.7893 0.040
74 3743.3027 3633.6799 3674.7885 0.029
75 3810.1723 3649.0798 3709.4895 0.042
76 3943.5828 3821.4574 3867.2544 0.031
77 4041.7599 3899.7032 3952.9745 0.035
78 4113.0258 3969.0841 4023.0622 0.035
79 4245.8152 4068.2527 4134.8387 0.042
80 4275.5679 4098.5351 4164.9224 0.041
81 4278.9092 4101.3785 4167.9525 0.041
82 4372.8773 4176.2628 4249.9933 0.045
83 4425.8243 4226.7775 4301.4200 0.045
84 4471.2409 4254.0232 4335.4799 0.049
85 4486.3321 4284.2459 4360.0282 0.045
86 4512.8538 4319.0413 4391.7210 0.043
87 4610.9676 4406.4689 4483.1559 0.044
88 4699.6306 4481.4666 4563.2781 0.046
89 4817.4801 4637.2307 4704.8242 0.037
90 4865.0721 4657.7465 4735.4936 0.043
91 5050.8797 4828.0406 4911.6053 0.044
92 5119.9811 4886.7552 4974.2150 0.046
93 5218.6570 4984.4657 5072.2874 0.045
94 5248.1313 5011.4054 5100.1777 0.045
95 5329.2559 5075.1799 5170.4584 0.048
96 5485.2100 5165.9538 5285.6749 0.058
97 5632.9389 5368.3672 5467.5816 0.047
98 5720.6289 5395.2256 5517.2518 0.057
99 5722.9142 5461.8410 5559.7434 0.046
100 5760.5440 5504.9111 5600.7735 0.044