I’m not a professional mathematician but a structural engineer. I came up with a novel explicit ODE solver that stays bounded on stiff problems like y’=-lamda*y.
It doesn’t blow up, it has adaptive time stepping. I have convergence, consistency proofs also.
Though in some applications implicit solvers or euler, RK4 perform better on some stiff bench mark problems. It can literally solve most problems though in each category there are better solvers. So I’m unable find a niche.
The results are novel though not competitive. I just want to publish to establish my findings. Which journal to go for. Not sure if SIAM would accept unless i find a niche where my methods beats the existing methods. I just want show world a nice result. That’s it.