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First 100 Eigenvalues

Number Finite Element Method Pointwise Method Predicted Eigenvalues Error
0 -0.0000 0.0000 -0.0000 1.535
1 15.3193 15.3187 15.3189 0.000
2 30.8220 30.8196 30.8205 0.000
3 55.1054 55.0978 55.1006 0.000
4 104.3897 104.3616 104.3721 0.000
5 121.6912 121.6531 121.6674 0.000
6 136.5034 136.4569 136.4743 0.000
7 236.4474 236.3010 236.3559 0.001
8 254.7979 254.6294 254.6926 0.001
9 314.2870 314.0488 314.1381 0.001
10 339.7371 339.4254 339.5423 0.001
11 359.3756 359.0334 359.1618 0.001
12 446.9819 446.4354 446.6404 0.001
13 542.0599 541.3173 541.5958 0.001
14 594.8102 593.9137 594.2499 0.002
15 642.7455 641.6663 642.0710 0.002
16 660.0077 658.9046 659.3183 0.002
17 733.6355 732.2631 732.7778 0.002
18 751.9890 750.5438 751.0857 0.002
19 811.6000 809.8986 810.5366 0.002
20 832.7139 830.9704 831.6242 0.002
21 900.4513 898.4185 899.1808 0.002
22 1063.3004 1060.1877 1061.3550 0.003
23 1099.3111 1096.1863 1097.3581 0.003
24 1348.0766 1343.4247 1345.1692 0.003
25 1400.3118 1395.5048 1397.3074 0.003
26 1427.8062 1422.8572 1424.7131 0.003
27 1538.2801 1532.0928 1534.4131 0.004
28 1564.9353 1558.5064 1560.9173 0.004
29 1679.7416 1672.7740 1675.3868 0.004
30 1722.0810 1714.6705 1717.4494 0.004
31 1751.6377 1744.3611 1747.0898 0.004
32 1834.7381 1826.2370 1829.4249 0.005
33 1907.3987 1898.1892 1901.6428 0.005
34 1964.1142 1954.9510 1958.3872 0.005
35 1995.5911 1985.8986 1989.5333 0.005
36 2040.8710 2030.3544 2034.2981 0.005
37 2113.4191 2103.5218 2107.2333 0.005
38 2255.0620 2243.1996 2247.6480 0.005
39 2481.0653 2465.8944 2471.5835 0.006
40 2527.3056 2511.5186 2517.4387 0.006
41 2580.8733 2565.7619 2571.4287 0.006
42 2695.7864 2677.9837 2684.6597 0.007
43 2810.6282 2791.6796 2798.7853 0.007
44 3184.6925 3158.3048 3168.2001 0.008
45 3314.5844 3287.6230 3297.7335 0.008
46 3461.9687 3431.3145 3442.8099 0.009
47 3499.9578 3468.7770 3480.4698 0.009
48 3619.1444 3585.5016 3598.1177 0.009
49 3641.7314 3607.6298 3620.4179 0.009
50 3685.5724 3651.2374 3664.1130 0.009
51 3814.9378 3778.3421 3792.0655 0.010
52 3948.7951 3910.6553 3924.9577 0.010
53 4044.1856 4003.1238 4018.5220 0.010
54 4087.7673 4044.9353 4060.9973 0.010
55 4115.1563 4072.5977 4088.5572 0.010
56 4191.3243 4144.1947 4161.8683 0.011
57 4201.7904 4156.3862 4173.4128 0.011
58 4397.8461 4355.5793 4371.4293 0.010
59 4476.7451 4429.1622 4447.0058 0.011
60 4541.5022 4493.6163 4511.5735 0.011
61 4679.5950 4627.1479 4646.8156 0.011
62 4700.5047 4648.0176 4667.7003 0.011
63 4794.9173 4736.4866 4758.3982 0.012
64 4818.1823 4760.4413 4782.0942 0.012
65 4843.9268 4785.4875 4807.4022 0.012
66 4981.2690 4923.9712 4945.4578 0.012
67 5303.7750 5238.8847 5263.2185 0.012
68 5331.7688 5266.2650 5290.8289 0.012
69 5462.3791 5382.8847 5412.6951 0.015
70 5484.0192 5402.0970 5432.8179 0.015
71 5666.8726 5581.2065 5613.3313 0.015
72 5933.0254 5850.8817 5881.6856 0.014
73 5966.4950 5888.9881 5918.0532 0.013
74 6089.1331 6005.1361 6036.6350 0.014
75 6092.6763 6008.6349 6040.1505 0.014
76 6357.3296 6263.6927 6298.8065 0.015
77 6551.8873 6450.1571 6488.3059 0.016
78 6652.3200 6547.8161 6587.0051 0.016
79 6735.8850 6622.1247 6664.7848 0.017
80 7254.7970 7099.6170 7157.8095 0.021
81 7520.6703 7369.3055 7426.0673 0.020
82 7833.8668 7687.1260 7742.1538 0.019
83 8089.0508 7929.6960 7989.4540 0.020
84 8191.0851 8021.0935 8084.8403 0.021
85 8281.0446 8111.4107 8175.0234 0.020
86 8457.1003 8273.0739 8342.0838 0.022
87 8552.4432 8376.2397 8442.3160 0.021
88 8584.8358 8408.0847 8474.3663 0.021
89 8607.0568 8429.8799 8496.3212 0.021
90 8708.1124 8515.7765 8587.9025 0.022
91 8820.7952 8600.3356 8683.0080 0.025
92 9177.6543 8961.5508 9042.5896 0.024
93 9316.9332 9091.6374 9176.1234 0.024
94 9328.3672 9112.8944 9193.6967 0.023
95 9342.9021 9121.0784 9204.2623 0.024
96 9557.0762 9335.8593 9418.8157 0.023
97 9675.2946 9451.2434 9535.2626 0.023
98 9749.3316 9532.5957 9613.8717 0.022
99 9799.3029 9566.0697 9653.5321 0.024
100 9927.6899 9692.1813 9780.4970 0.024