Mitchell Luskin

According to our database1, Mitchell Luskin authored at least 31 papers between 1996 and 2020.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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PhD thesis 
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Bibliography

2020
Nonlinear eigenvalue problems for coupled Helmholtz equations modeling gradient-index graphene waveguides.
J. Comput. Phys., 2020

2019
Stability and Convergence of the String Method for Computing Minimum Energy Paths.
Multiscale Model. Simul., 2019

Efficient Computation of Kubo Conductivity for Incommensurate 2D Heterostructures.
CoRR, 2019

Modeling and Computation of Kubo Conductivity for 2D Incommensurate Bilayers.
CoRR, 2019

2018
Incommensurate Heterostructures in Momentum Space.
Multiscale Model. Simul., 2018

2017
Approximation of Crystalline Defects at Finite Temperature.
Multiscale Model. Simul., 2017

Electronic Density of States for Incommensurate Layers.
Multiscale Model. Simul., 2017

Analysis of Rippling in Incommensurate One-Dimensional Coupled Chains.
Multiscale Model. Simul., 2017

Analysis of a Predictor-Corrector Method for Computationally Efficient Modeling of Surface Effects in 1D.
Multiscale Model. Simul., 2017

Dipole excitation of surface plasmon on a conducting sheet: Finite element approximation and validation.
J. Comput. Phys., 2017

2016
A Theoretical Examination of Diffusive Molecular Dynamics.
SIAM J. Appl. Math., 2016

2015
Analysis of Transition State Theory Rates upon Spatial Coarse-Graining.
Multiscale Model. Simul., 2015

2014
An Optimization-based Atomistic-to-Continuum Coupling Method.
SIAM J. Numer. Anal., 2014

2013
Atomistic-to-continuum coupling.
Acta Numer., 2013

Development of an Optimization-Based Atomistic-to-Continuum Coupling Method.
Proceedings of the Large-Scale Scientific Computing - 9th International Conference, 2013

2012
Positive Definiteness of the Blended Force-Based Quasicontinuum Method.
Multiscale Model. Simul., 2012

A mathematical formalization of the parallel replica dynamics.
Monte Carlo Methods Appl., 2012

2011
Analysis of Energy-Based Blended Quasi-Continuum Approximations.
SIAM J. Numer. Anal., 2011

Analysis of the Quasi-Nonlocal Approximation of Linear and Circular Chains in the Plane.
Multiscale Model. Simul., 2011

2010
Sharp Stability Estimates for the Force-Based Quasicontinuum Approximation of Homogeneous Tensile Deformation.
Multiscale Model. Simul., 2010

2009
An Analysis of Node-Based Cluster Summation Rules in the Quasicontinuum Method.
SIAM J. Numer. Anal., 2009

An Optimal Order Error Analysis of the One-Dimensional Quasicontinuum Approximation.
SIAM J. Numer. Anal., 2009

2008
Error Estimation and Atomistic-Continuum Adaptivity for the Quasicontinuum Approximation of a Frenkel-Kontorova Model.
Multiscale Model. Simul., 2008

Iterative Solution of the Quasicontinuum Equilibrium Equations with Continuation.
J. Sci. Comput., 2008

2006
The Gamma-Convergence of a Sharp Interface Thin Film Model with Nonconvex Elastic Energy.
SIAM J. Math. Anal., 2006

2005
Existence of Energy Minimizers for Magnetostrictive Materials.
SIAM J. Math. Anal., 2005

Computational Modeling of Softening in a Structural Phase Transformation.
Multiscale Model. Simul., 2005

2003
Enhanced accuracy by post-processing for finite element methods for hyperbolic equations.
Math. Comput., 2003

The Computation of Martensitic Microstructure with Piecewise Laminates.
J. Sci. Comput., 2003

1998
Nonconforming finite element approximation of crystalline microstructure.
Math. Comput., 1998

1996
Analysis of a class of nonconforming finite elements for crystalline microstructures.
Math. Comput., 1996


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