Original sentence: However, use of cutoff radius, periodic pair-list updates and more recently the variations of the Particle mesh Ewald (PME) method has reduced this between O(N) to O(n2).In recent years, several advancements have been pioneered by several groups including: Arieh Warshel (University of Southern California), Weitao Yang (Duke University), Sharon Hammes-Schiffer (The Pennsylvania State University), Donald Truhlar and Jiali Gao (University of Minnesota) and Kenneth Merz (University of Florida).Materials and Processes Simulations.On the other hand the simplest ab-initio calculations typically scale O(n3) or worse (Restricted Hartree-Fock calculations have been suggested to scale ~O(n2.7)).Quantum chemistry computer programs.Software for molecular mechanics modeling.The QM/MM (Quantum mechanics/Molecular mechanics) approach is a molecular simulation method that combines the strength of both QM (accuracy) and MM (speed) calculations.The cost of doing classical molecular mechanics (MM) simulations in the most straight forward case scales O(n2), where N is the number of atoms in the system
Edited sentence: However, use of cutoff radius, periodic pair-list updates and more recently the variations of the particle mesh Ewald (PME) method has reduced this between O(N) to O(N2).In recent years, advancements have been pioneered by several groups including: Arieh Warshel (University of Southern California), Weitao Yang (Duke University), Sharon Hammes-Schiffer (The Pennsylvania State University), Donald Truhlar and Jiali Gao (University of Minnesota) and Kenneth Merz (University of Florida).List of quantum chemistry and solid state physics software.List of software for molecular mechanics modeling.On the other hand the simplest ab-initio calculations typically scale O(N3) or worse (Restricted Hartree–Fock calculations have been suggested to scale ~O(N2.7)).The QM/MM (quantum mechanics/molecular mechanics) approach is a molecular simulation method that combines the strength of both QM (accuracy) and MM (speed) calculations.The cost of doing classical molecular mechanics (MM) simulations in the most straight forward case scales O(N2), where N is the number of atoms in the system