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Overcoming instabilities in Verlet-I/r-RESPA with the mollified impulse method  (Make Corrections)  
Jesus A. Izaguirre, Qun Ma, Thierry Matthey, Jeremiah Willcock, Thomas Slabach, Branden Moore, George Viamontes



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Abstract: The primary objective of this paper is to explain the derivation of symplectic molli ed Verlet-I/r-RESPA (MOLLY) methods that overcome linear and nonlinear instabilities that arise as numerical artifacts in Verlet-I/r-RESPA. These methods allow for lengthening of the longest time step used in molecular dynamics (MD). We provide evidence that MOLLY methods can take a longest time step that is 50% greater than that of Verlet-I/r-RESPA, for a given drift, including no drift. A 350% increase in... (Update)

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1.7:   Verlet-I/r-RESPA/Impulse Is Limited by Nonlinear Instability - Ma, Izaguirre, Skeel   (Correct)
1.6:   Novel Multiscale Algorithms for Molecular Dynamics - Ma (2003)   (Correct)

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BibTeX entry:   (Update)

@misc{ izaguirre-overcoming,
  author = "Jesus A. Izaguirre and Qun Ma and Thierry Matthey and Jeremiah Willcock
    and Thomas Slabach and Branden Moore and George Viamontes",
  title = "Overcoming instabilities in Verlet-I/r-RESPA with the mollified impulse
    method",
  url = "citeseer.ist.psu.edu/716335.html" }
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