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math.AP2017
Rigorous a-posteriori analysis using numerical eigenvalue bounds in a surface growth model
Christian Nolde, Dirk Blömker
In order to prove numerically the global existence and uniqueness of smooth solutions of a fourth order, nonlinear PDE, we derive rigorous a-posteriori upper bounds on the supremum…
math.AP2013
Rigorous Numerical Verification of Uniqueness and Smoothness in a Surface Growth Model
Dirk Blömker, Christian Nolde, James C. Robinson
Based on numerical data and a-posteriori analysis we verify rigorously the uniqueness and smoothness of global solutions to a scalar surface growth model with striking similarities…