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First 100 Eigenvalues

Number Finite Element Method Pointwise Method Predicted Eigenvalues Error
0 -0.0000 0.0000 -0.0000 1.493
1 8.1312 8.1305 8.1307 0.000
2 25.3748 25.3677 25.3703 0.000
3 37.7097 37.6936 37.6996 0.000
4 56.4748 56.4411 56.4537 0.001
5 80.3886 80.3210 80.3464 0.001
6 92.3316 92.2467 92.2786 0.001
7 114.8165 114.6580 114.7174 0.001
8 157.6104 157.3307 157.4356 0.002
9 161.5759 161.2589 161.3778 0.002
10 196.9805 196.5803 196.7303 0.002
11 225.0870 224.4628 224.6969 0.003
12 274.7275 273.9676 274.2526 0.003
13 300.7394 299.6682 300.0699 0.004
14 316.3272 315.1488 315.5907 0.004
15 337.5677 336.2054 336.7162 0.004
16 404.1735 402.7042 403.2552 0.004
17 441.7420 439.5971 440.4015 0.005
18 459.9796 457.4247 458.3828 0.006
19 484.2792 481.8762 482.7773 0.005
20 569.0252 565.9936 567.1305 0.005
21 577.5653 574.0715 575.3817 0.006
22 620.3594 616.2411 617.7854 0.007
23 647.5311 642.5195 644.3988 0.008
24 683.6657 679.0463 680.7786 0.007
25 693.8277 687.9958 690.1827 0.008
26 801.9449 796.4066 798.4835 0.007
27 818.4338 811.1802 813.9003 0.009
28 870.8795 862.6088 865.7103 0.009
29 908.8325 899.0760 902.7347 0.011
30 931.7415 922.3796 925.8903 0.010
31 960.6722 951.5835 954.9917 0.009
32 977.4767 965.7468 970.1455 0.012
33 1126.7082 1115.1150 1119.4625 0.010
34 1149.7117 1135.4102 1140.7733 0.012
35 1174.2150 1163.6776 1167.6291 0.009
36 1223.2633 1204.9312 1211.8058 0.015
37 1276.6123 1256.4397 1264.0044 0.016
38 1288.6379 1268.9018 1276.3029 0.015
39 1331.5189 1310.5372 1318.4053 0.016
40 1350.2948 1331.0503 1338.2670 0.014
41 1376.9640 1351.6932 1361.1698 0.018
42 1585.1184 1561.9394 1570.6315 0.015
43 1615.9645 1586.2269 1597.3785 0.018
44 1630.7340 1606.3084 1615.4680 0.015
45 1719.7638 1682.8595 1696.6986 0.021
46 1782.3013 1746.8881 1760.1681 0.020
47 1795.1595 1754.6922 1769.8674 0.023
48 1811.9650 1777.3295 1790.3178 0.019
49 1876.2174 1838.6729 1852.7521 0.020
50 1898.1942 1859.7008 1874.1358 0.020
51 1923.9005 1879.1766 1895.9481 0.023
52 1938.9893 1890.2197 1908.5083 0.025
53 2141.5262 2100.8972 2116.1331 0.019
54 2234.9832 2188.8385 2206.1428 0.021
55 2271.4333 2215.1026 2236.2266 0.025
56 2278.3275 2225.1028 2245.0621 0.023
57 2420.5246 2350.4756 2376.7440 0.029
58 2481.2146 2425.8056 2446.5840 0.022
59 2523.5811 2448.4779 2476.6416 0.030
60 2581.1967 2503.8480 2532.8537 0.030
61 2590.8189 2519.5169 2546.2551 0.028
62 2659.4813 2577.9317 2608.5128 0.031
63 2672.3842 2592.3690 2622.3747 0.030
64 2687.9207 2609.3720 2638.8277 0.029
65 2722.7201 2628.1141 2663.5914 0.035
66 2920.8979 2844.8575 2873.3727 0.026
67 3047.5921 2967.1396 2997.3093 0.026
68 3163.0312 3059.3814 3098.2500 0.033
69 3188.1635 3097.8885 3131.7416 0.028
70 3206.4715 3101.9640 3141.1543 0.033
71 3269.3479 3161.0443 3201.6581 0.033
72 3409.4256 3291.3689 3335.6402 0.035
73 3414.9477 3303.3200 3345.1804 0.033
74 3514.6616 3403.4552 3445.1576 0.032
75 3556.3709 3417.2898 3469.4452 0.039
76 3644.7567 3502.7189 3555.9831 0.039
77 3656.0432 3521.9423 3572.2301 0.037
78 3667.5829 3529.4392 3581.2431 0.038
79 3751.5140 3599.3822 3656.4316 0.041
80 3773.8014 3626.8244 3681.9408 0.039
81 3794.1130 3651.1496 3704.7608 0.038
82 3833.0251 3661.5974 3725.8828 0.045
83 3950.3031 3786.5119 3847.9336 0.041
84 4350.5586 4194.8099 4253.2157 0.036
85 4418.2201 4247.9663 4311.8115 0.039
86 4493.6017 4283.3987 4362.2248 0.047
87 4532.5709 4351.0543 4419.1230 0.040
88 4549.1296 4376.3103 4441.1175 0.038
89 4598.8062 4401.1222 4475.2537 0.043
90 4723.2185 4534.3743 4605.1909 0.040
91 4843.3888 4623.7745 4706.1298 0.045
92 4851.7137 4655.6114 4729.1498 0.040
93 5009.2637 4764.9430 4856.5633 0.049
94 5038.4137 4800.0968 4889.4656 0.047
95 5118.5698 4866.1912 4960.8332 0.049
96 5170.1544 4907.0059 5005.6866 0.051
97 5182.9732 4918.2617 5017.5285 0.051
98 5196.7495 4948.6483 5041.6862 0.048
99 5252.2190 4983.2485 5084.1124 0.051
100 5317.3683 5027.7946 5136.3847 0.054