Theory and Modern Applications
Table 4 For N = 20, m = 10 and θ = 1/5, λk,Nand λ k are all inside the interval [a−, a+] for different values of ε
From: Computation of eigenvalues of discontinuous dirac system using Hermite interpolation technique
λ k Exact λ k | [a−, a+], ε= 10−8 | [a−, a+], ε= 10−12 | λ k,N |
|---|---|---|---|
λ−2 −3.5582593202564599 | [−3.739980, −3.404715] | [−3.560364, −3.556152] | −3.5582593202564596 |
λ−1 −1.9874629934615633 | [−2.080163, −1.899068] | [−1.988611, −1.986313] | −1.9874629934615631 |
λ0 −0.4166666666666667 | [−0.487002, −0.346801] | [0.417553, −0.415779] | −0.41666666666666635 |
λ1 1.1541296601282299 | [1.079274, 1.230862] | [1.153170, 1.155090] | 1.1541296601282297 |
λ2 2.7249259869231266 | [2.614866, 2.845166] | [2.723467, 2.726388] | 2.7249259869231270 |