Diagonally Implicit Symplectic Runge-Kutta Methods with High Algebraic and Dispersion Order

Figure 2

Difference in dispersion. Methods used: (i)–□–., in red, our method, M968. (ii)–, in green, M748 ([8]). (iii)–*–, in blue, M766 ([1]). (iv)–., in black, M546 ([2]). (v)–⋆–, in pink, M756 ([8]).