An Acknowledgement Ode

An Ode to Arrows

We study a number of embedded DSLs for autonomous ordinary differential equations (autonomous ODEs) in Haskell. A naive implementation based on the lazy tower of derivatives is straightforward but has serious time and space leaks due to the loss of sharing when handling cyclic and infinite data structures. In seeking a solution to fix this problem, we explore a number of DSLs ranging from shall...

An extended ode solver for sensitivity calculations

A rcccntly published semi-implicit Rung+Kulta algorithm has been extended to compute parameter sensitivities in dynamical systems. The decomposed direct method (DDM) of sensitivity analysis results in a general and compact FORTRAN program, well-suited even for small computers. The straightforward DDM provides more accurate sensitivities than does the numerically efficient, but more involved Gre...

On an ODE from forced coating ow

Acknowledgement to referees 2021

On behalf of our Editorial team at Jorjani Biomedicine Journal, my heartfelt recognition for the commitment and contributions of those who served as reviewers for Jorjani Biomedicine Journal in 2021 is listed below. The high quality of their reviews is an extraordinary asset to ensure the quality of the articles published in the Jorjani Biomedicine Journal. I want to express my most sincere and...

Stabilization of an ODE-Schrödinger cascade

We consider the problem of stabilization of a linear ODE with input dynamics governed by the linearized Schrödinger equation. The interconnection between the ODE and Schrödinger equation is bi-directional at a single point. We construct an explicit feedback law that compensates the Schrödinger dynamics at the inputs of the ODE and stabilizes the overall system. Our design is based on a two-step...