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modify JAX bdf solver to allow solution of semi-explicit DAEs #1104
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Summary
Matlab allows for ode15s to solve semi-explicit DAEs by solving the equivalent ODE using a singular mass matrix. Need to modify the Jax BDF solver to do the same
Motivation
So JAX BDF solver can solve semi-explicit DAEs (i.e. all DAE models in Pybamm). Currently limited to ODEs
References
[1] Shampine, L. F. and M. W. Reichelt, “The MATLAB ODE Suite,” SIAM Journal on Scientific Computing, Vol. 18, 1997, pp. 1–22.
See also comments by @tinosulzer in #1038
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