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@@ -52,7 +52,7 @@ ODE solvers written in lower-level languages like C, Fortran or Rust offer signi
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The following solvers are available in `diffsol`:
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1. A variable order Backwards Difference Formulae (BDF) solver, suitable for stiff problems and singular mass matrices. The basic algorithm is derived in [@byrne1975polyalgorithm], however this particular implementation follows that implemented in the Matlab routine ode15s [@shampine1997matlab] and the SciPy implementation [@virtanen2020scipy], which features the NDF formulas for improved stability
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1. A variable order Backwards Difference Formulae (BDF) solver, suitable for stiff problems and singular mass matrices. The basic algorithm is derived in [@byrne1975polyalgorithm], however this particular implementation follows that implemented in the MATLAB routine ode15s [@shampine1997matlab] and the SciPy implementation [@virtanen2020scipy], which features the NDF formulas for improved stability.
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2. A Singly Diagonally Implicit Runge-Kutta (SDIRK or ESDIRK) solver, suitable for moderately stiff problems and singular mass matrices. Two different butcher tableau are provided, TR-BDF2 [@bank1985transient; @hosea1996analysis] and ESDIRK34 [@jorgensen2018family], or users can supply their own.
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3. A variable order Explicit Runge-Kutta (ERK) solver, suitable for non-stiff problems. One butcher tableau is provided, the 4th order TSIT45 [@tsitouras2011runge], or users can supply their own.
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