ode23, 45, 15s, 15i for conservative ODEs

Which of ode23, 45, 15s, 15i are dissipative or anti-dissipative for conservative ODEs?

Answer 1

[Pooja Kumari]

Hi,

You are asking about the characteristics of ode23, ode45, ode15s, and ode15i in terms of being dissipative or anti-dissipative for conservative ODEs. Dissipative methods result in a gradual loss of energy over time, while anti-dissipative methods introduce energy into the system.

For conservative ODEs, ode23 and ode45 are generally dissipative, and so are ode15s and ode15i. None of these solvers are typically anti-dissipative.

[feynman feynman]

Thank you for your answer. Is there any references or evidence to support that this dissipativeness of them isn't equation dependent for conservative ODEs?