Theory and Modern Applications
Table 8 With N = 20, m = 9 and θ = 2/11, 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= 10−5 | [a−, a+], ε= 10−10 | λ k,N |
|---|---|---|---|
λ−2 −3.2964599324573105 | [−3.381001, −3.215245] | [−3.297352, −3.295553] | −3.2964599324573127 |
λ−1 −1.725663605662414 | [−1.781207, −1.671159] | [−1.725760, −1.725566] | −1.725663605662413 |
λ0 −0.15486727886751722 | [−0.202971, −0.107279] | [−0.155364, −0.154374] | −0.1548672788675186 |
λ1 1.4159290479273794 | [1.362486, 1.469718] | [1.414521, 1.417324] | 1.4159290479273827 |
λ2 2.986725374722276 | [2.912282, 3.065032] | [2.984366, 2.989098] | 2.9867253747222686 |