WENDy (Weak-form Estimation of Nonlinear Dynamics) is a forward solver-free algorithm for estimating parameters in differential equations. An article describing the method has been published:
Bortz, D.M., Messenger, D.A. & Dukic, V. Direct Estimation of Parameters in ODE Models Using WENDy: Weak-Form Estimation of Nonlinear Dynamics. Bull Math Biol 85, 110 (2023). https://doi.org/10.1007/s11538-023-01208-6
Note that generation Figures 8-13 from the manuscript require large datasets which will be made available soon. Results from Figures 3-7 can be reproduced on a single-run basis by running wendy_script.m