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First 100 Eigenvalues

Number Finite Element Method Pointwise Method Predicted Eigenvalues Error
0 0.0000 -0.0000 0.0000 1.155
1 16.5124 16.5118 16.5121 0.000
2 40.9669 40.9632 40.9645 0.000
3 63.0550 63.0461 63.0494 0.000
4 99.0828 99.0625 99.0701 0.000
5 157.4533 157.4016 157.4210 0.000
6 172.9732 172.9113 172.9345 0.000
7 205.1910 205.1032 205.1361 0.000
8 229.5368 229.4277 229.4686 0.000
9 326.0800 325.8606 325.9429 0.001
10 378.5876 378.2929 378.4034 0.001
11 471.6198 471.1647 471.3354 0.001
12 523.5183 522.9507 523.1635 0.001
13 564.2596 563.6005 563.8477 0.001
14 570.3513 569.6717 569.9265 0.001
15 602.6597 601.9130 602.1930 0.001
16 607.9852 607.2283 607.5121 0.001
17 707.6866 706.6602 707.0451 0.001
18 836.2688 834.8103 835.3573 0.002
19 967.3405 965.4219 966.1414 0.002
20 1101.1938 1098.6056 1099.5762 0.002
21 1135.3828 1132.6544 1133.6775 0.002
22 1179.2152 1176.2645 1177.3710 0.003
23 1304.8488 1301.1521 1302.5384 0.003
24 1416.7838 1412.6052 1414.1722 0.003
25 1469.6857 1465.1420 1466.8459 0.003
26 1591.5112 1586.2102 1588.1981 0.003
27 1645.9316 1640.1888 1642.3423 0.003
28 1652.9217 1647.1183 1649.2946 0.004
29 1693.8384 1687.8705 1690.1084 0.004
30 1711.3555 1705.1412 1707.4715 0.004
31 1737.7123 1731.4230 1733.7815 0.004
32 1765.5762 1759.1072 1761.5331 0.004
33 1774.5607 1767.9589 1770.4345 0.004
34 1806.6123 1799.7558 1802.3270 0.004
35 1983.6309 1975.1301 1978.3179 0.004
36 2077.6206 2068.5535 2071.9537 0.004
37 2173.0144 2163.0607 2166.7933 0.005
38 2453.9428 2440.3261 2445.4323 0.006
39 2486.8475 2472.9699 2478.1740 0.006
40 2809.1687 2791.7119 2798.2582 0.006
41 2870.9694 2853.2462 2859.8924 0.006
42 3021.4152 2999.8939 3007.9644 0.007
43 3248.5394 3224.7554 3233.6744 0.007
44 3266.2549 3242.3157 3251.2929 0.007
45 3377.5678 3352.3007 3361.7758 0.007
46 3420.9982 3394.4872 3404.4288 0.008
47 3458.9457 3431.1574 3441.5780 0.008
48 3468.8960 3441.3141 3451.6573 0.008
49 3831.7672 3796.5829 3809.7770 0.009
50 3853.6135 3818.2750 3831.5270 0.009
51 4099.7852 4058.8340 4074.1907 0.010
52 4208.1796 4168.9871 4183.6843 0.009
53 4249.7272 4208.4079 4223.9026 0.010
54 4482.6726 4438.2443 4454.9049 0.010
55 4609.0626 4561.4565 4579.3088 0.010
56 4768.2900 4716.3079 4735.8012 0.011
57 4824.8735 4771.0221 4791.2164 0.011
58 4830.8999 4776.9599 4797.1874 0.011
59 4831.1295 4777.1977 4797.4221 0.011
60 4881.1765 4826.7049 4847.1317 0.011
61 4956.5971 4901.7977 4922.3475 0.011
62 4974.0464 4917.1941 4938.5137 0.011
63 5007.0002 4948.8873 4970.6797 0.012
64 5054.0318 4995.6648 5017.5524 0.012
65 5087.0165 5026.2803 5049.0564 0.012
66 5105.5831 5044.4786 5067.3928 0.012
67 5119.3679 5057.8137 5080.8965 0.012
68 5183.7668 5121.3051 5144.7282 0.012
69 5201.3268 5137.0196 5161.1348 0.012
70 5260.7943 5196.3341 5220.5067 0.012
71 5337.2437 5271.0163 5295.8516 0.012
72 5351.5853 5284.3264 5309.5485 0.013
73 5566.6797 5492.0232 5520.0194 0.013
74 5832.7969 5751.5739 5782.0325 0.014
75 5857.1307 5775.0305 5805.8181 0.014
76 6106.7693 6023.0268 6054.4302 0.014
77 6154.6327 6068.9123 6101.0574 0.014
78 6384.2877 6289.6827 6325.1596 0.015
79 6400.9069 6305.6012 6341.3408 0.015
80 6857.2100 6751.8094 6791.3346 0.015
81 7256.3139 7155.9022 7193.5566 0.014
82 7287.6363 7186.7148 7224.5604 0.014
83 7385.0619 7279.6569 7319.1838 0.014
84 7442.0716 7330.6404 7372.4271 0.015
85 8298.1629 8155.5380 8209.0224 0.017
86 8402.1683 8255.0109 8310.1949 0.018
87 8488.6321 8337.1095 8393.9305 0.018
88 8491.7061 8339.5383 8396.6012 0.018
89 8909.0957 8748.0538 8808.4445 0.018
90 9552.1479 9387.0556 9448.9652 0.017
91 9585.6336 9418.1777 9480.9737 0.017
92 9619.3835 9450.4922 9513.8264 0.018
93 9657.1341 9482.3498 9547.8939 0.018
94 9858.1310 9682.3197 9748.2489 0.018
95 9952.1011 9768.1844 9837.1532 0.018
96 9978.2531 9796.3647 9864.5729 0.018
97 10080.5392 9889.6393 9961.2268 0.019
98 10196.7505 9990.3358 10067.7413 0.020
99 10199.1510 9992.4953 10069.9912 0.020
100 10201.3744 9994.4797 10072.0652 0.020