Geodesic
Synthesis of an implicit A-stable one-step second order schemes by the high order backward differentiation formulas
Matematičeskoe modelirovanie, Tome 21 (2009) no. 10, pp. 107-110

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A routine ode23tb of MATLAB can be made more accurate and stable coincidentally by adding steps of 3-d and 4-th order backward differentiation formulas. 
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     author = {V. N. Biryukov},
     title = {Synthesis of an implicit {A-stable} one-step second order schemes by the high order backward differentiation formulas},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {107--110},
     publisher = {mathdoc},
     volume = {21},
     number = {10},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2009_21_10_a10/}
}
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V. N. Biryukov. Synthesis of an implicit A-stable one-step second order schemes by the high order backward differentiation formulas. Matematičeskoe modelirovanie, Tome 21 (2009) no. 10, pp. 107-110. http://geodesic.mathdoc.fr/item/MM_2009_21_10_a10/