Author pages are created from data sourced from our academic publisher partnerships and public sources.

Publications Influence

Share This Author

Analysis of a force-based quasicontinuum approximation

We analyze a force-based quasicontinuum approximation to a one-dimensional system of atoms that interact by a classical atomistic potential. This force-based quasicontinuum approximation can be… Expand

An Optimal Order Error Analysis of the One-Dimensional Quasicontinuum Approximation

We derive a model problem for quasicontinuum approximations that allows a simple, yet insightful, analysis of the optimal-order convergence rate in the continuum limit for both the energy-based… Expand

Stability, Instability, and Error of the Force-based Quasicontinuum Approximation

Due to their algorithmic simplicity and high accuracy, force-based model coupling techniques are popular tools in computational physics. For example, the force-based quasicontinuum (QCF)… Expand

Using coupling methods to estimate sample quality for stochastic differential equations

- M. Dobson, Jiayu Zhai, Yao Li
- Mathematics, Computer ScienceSIAM/ASA J. Uncertain. Quantification
- 21 December 2019

TLDR

A multilattice quasicontinuum for phase transforming materials: Cascading Cauchy Born kinematics

- M. Dobson, Ryan S. Elliott, M. Luskin, E. Tadmor
- Physics
- 1 December 2007

The quasicontinuum (QC) method is applied to materials possessing a multilattice crystal structure. Cauchy-Born (CB) kinematics, which accounts for the shifts of the crystal basis, is used in… Expand

AN ANALYSIS OF THE EFFECT OF GHOST FORCE OSCILLATION ON QUASICONTINUUM ERROR

The atomistic to continuum interface for quasicontinuum energies exhibits nonzero forces under uniform strain that have been called ghost forces. In this paper, we prove for a linearization of a… Expand

Sharp Stability Estimates for the Force-Based Quasicontinuum Approximation of Homogeneous Tensile Deformation

TLDR

SN 2019ehk: A Double-peaked Ca-rich Transient with Luminous X-Ray Emission and Shock-ionized Spectral Features

- W. Jacobson-Galán, R. Margutti,
+64 authors Kaicheng Zhang - Physics
- 4 May 2020

We present panchromatic observations and modeling of the Calcium-rich supernova 2019ehk in the star-forming galaxy M100 (d$\approx$16.2 Mpc) starting 10 hours after explosion and continuing for ~300… Expand

A deep learning method for solving Fokker-Planck equations

- Jiayu Zhai, M. Dobson, Yao Li
- Computer Science, PhysicsArXiv
- 19 December 2020

TLDR

...

1

2

3

4

5

...