Explicit

Implicit

Hybrid

RK4
RKF
JVODE ADAMS
JLSODE

TR-BDF2
JVODE BDF
JLSODE

Rosenbrock
IMEX

Hybrid solvers combine the use of an explicit method followed by an implicit one for each step. JLSODE solver includes both explicit and implicit schemes and uses the most appropriate one at each integration step.
Table 1: Classification of the 8 ODE solvers used in our study.