Aihui Zhou

According to our database1, Aihui Zhou authored at least 52 papers between 1998 and 2024.

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

Timeline

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Bibliography

2024
A Fast, Performant, Secure Distributed Training Framework For Large Language Model.
CoRR, 2024

2023
Mathematical Analysis and Numerical Approximations of Density Functional Theory Models for Metallic Systems.
Multiscale Model. Simul., September, 2023

An Augmented Subspace Based Adaptive Proper Orthogonal Decomposition Method for Time Dependent Partial Differential Equations.
CoRR, 2023

2022
Symmetrized two-scale finite element discretizations for partial differential equations with symmetric solutions.
CoRR, 2022

Convergence of the Planewave Approximations for Quantum Incommensurate Systems.
CoRR, 2022

2021
A parallel orbital-updating based optimization method for electronic structure calculations.
J. Comput. Phys., 2021

Convergent and orthogonality preserving schemes for approximating the Kohn-Sham orbitals.
CoRR, 2021

Convergence and Optimal Complexity of the Adaptive Planewave Method for Eigenvalue Computations.
CoRR, 2021

2020
Gradient Flow Based Kohn-Sham Density Functional Theory Model.
Multiscale Model. Simul., 2020

Two-Grid Based Adaptive Proper Orthogonal Decomposition Method for Time Dependent Partial Differential Equations.
J. Sci. Comput., 2020

S3ML: A Secure Serving System for Machine Learning Inference.
CoRR, 2020

2019
Plane wave methods for quantum eigenvalue problems of incommensurate systems.
J. Comput. Phys., 2019

Gradient Flow Based Discretized Kohn-Sham Density Functional Theory.
CoRR, 2019

Eigenfunction Behavior and Adaptive Finite Element Approximations of Nonlinear Eigenvalue Problems in Quantum Physics.
CoRR, 2019

Two-Grid based Adaptive Proper Orthogonal Decomposition Algorithm for Time Dependent Partial Differential Equations.
CoRR, 2019

2017
A Conjugate Gradient Method for Electronic Structure Calculations.
SIAM J. Sci. Comput., 2017

A parallel orbital-updating based plane-wave basis method for electronic structure calculations.
J. Comput. Phys., 2017

2016
Recent developments in the ABINIT software package.
Comput. Phys. Commun., 2016

2014
Gradient Type Optimization Methods For Electronic Structure Calculations.
SIAM J. Sci. Comput., 2014

Adaptive Finite Element Approximations for Kohn-Sham Models.
Multiscale Model. Simul., 2014

2013
Finite Element Computation of KPP Front Speeds in Cellular and Cat's Eye Flows.
J. Sci. Comput., 2013

A Symmetry-Based Decomposition Approach to Eigenvalue Problems.
J. Sci. Comput., 2013

A Finite Element Recovery Approach to Eigenvalue Approximations with Applications to Electronic Structure Calculations.
J. Sci. Comput., 2013

Numerical analysis of finite dimensional approximations of Kohn-Sham models.
Adv. Comput. Math., 2013

2012
A Kohn-Sham equation solver based on hexahedral finite elements.
J. Comput. Phys., 2012

2011
Postprocessed Two-Scale Finite Element Discretizations, Part I.
SIAM J. Numer. Anal., 2011

Finite Volume Discretizations for Eigenvalue Problems with Applications to Electronic Structure Calculations.
Multiscale Model. Simul., 2011

2010
Two-scale finite element Green's function approximations with applications to electrostatic potential computation.
J. Syst. Sci. Complex., 2010

2008
Local and parallel finite element algorithms for the stokes problem.
Numerische Mathematik, 2008

Convergence and optimal complexity of adaptive finite element eigenvalue computations.
Numerische Mathematik, 2008

Finite Element Computations of Kolmogorov-Petrovsky-Piskunov Front Speeds in Random Shear Flows in Cylinders.
Multiscale Model. Simul., 2008

A spectrum theorem for perturbed bounded linear operators.
Appl. Math. Comput., 2008

Characteristic polynomials of some perturbed matrices.
Appl. Math. Comput., 2008

2007
Two-Scale Boolean Galerkin Discretizations for Fredholm Integral Equations of the Second Kind.
SIAM J. Numer. Anal., 2007

Three-Scale Finite Element Discretizations for Quantum Eigenvalue Problems.
SIAM J. Numer. Anal., 2007

Eigenvalues of rank-one updated matrices with some applications.
Appl. Math. Lett., 2007

2006
A Defect Correction Scheme for Finite Element Eigenvalues with Applications to Quantum Chemistry.
SIAM J. Sci. Comput., 2006

Enhancing Eigenvalue Approximation by Gradient Recovery.
SIAM J. Sci. Comput., 2006

An analysis of discontinuous Galerkin methods for elliptic problems.
Adv. Comput. Math., 2006

Adaptive finite element algorithms for eigenvalue problems based on local averaging type a posteriori error estimates.
Adv. Comput. Math., 2006

2003
Extrapolation for Finite Volume Approximations.
SIAM J. Sci. Comput., 2003

A Quasi Monte Carlo Approach to Piecewise Linear Markov Approximations of Markov Operators.
Monte Carlo Methods Appl., 2003

2002
A Note on the Optimal <i>L</i><sup>2</sup>-Estimate of the Finite Volume Element Method.
Adv. Comput. Math., 2002

2001
An Analysis of Some High Accuracy Finite Element Methods for Hyperbolic Problems.
SIAM J. Numer. Anal., 2001

A sparse finite element method with high accuracy Part I.
Numerische Mathematik, 2001

A two-grid discretization scheme for eigenvalue problems.
Math. Comput., 2001

Local and Parallel Finite Element Algorithms Based on Two-Grid Discretizations for Nonlinear Problems.
Adv. Comput. Math., 2001

2000
Local and parallel finite element algorithms based on two-grid discretizations.
Math. Comput., 2000

1999
Error analysis of the combination technique.
Numerische Mathematik, 1999

A finite element method for the Frobenius-Perron operator equation.
Appl. Math. Comput., 1999

Numerical analysis for systems with memory arising from semiconductor simulations.
Appl. Math. Comput., 1999

1998
Multi-parameter extrapolation methods for boundary integral equations.
Adv. Comput. Math., 1998


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