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math.CO2020
Sequence Positivity Through Numeric Analytic Continuation: Uniqueness of the Canham Model for Biomembranes
Stephen Melczer, Marc Mezzarobba
We prove solution uniqueness for the genus one Canham variational problem arising in the shape prediction of biomembranes. The proof builds on a result of Yu and Chen that reduces…
math.NA2020★ 3 cited
Rounding Error Analysis of Linear Recurrences Using Generating Series
Marc Mezzarobba
We develop a toolbox for the error analysis of linear recurrences with constant or polynomial coefficients, based on generating series, Cauchy's method of majorants, and simple res…