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Theory and Modern Applications

Table 1 N = 20, m = 6, and θ = 1/7

From: Computation of eigenvalues of discontinuous dirac system using Hermite interpolation technique

λ k Sinc λ k,N

Exact λ k

Hermite λk,N

E S

E H

λ−2 −3.558259424986099

−3.5582593202564599

−3.5582593202488253

1.047× 10−7

7.634× 10−12

λ−1 −1.9874629152275372

−1.9874629934615633

−1.9874629934659096

7.823× 10−8

4.346× 10−12

λ0 −0.4166665411688605

−0.4166666666666667

−0.41666666665625623

1.255× 10−7

1.041× 10−11

λ1 1.1541296373132959

1.1541296601282299

1.1541296601279385

2.281× 10−8

2.913× 10−13

λ2 2.7249258102486835

2.7249259869231266

2.7249259869365776

1.767× 10−7

1.345× 10−11