Numerical analysis of augmented plane wave methods for full-potential electronic structure calculations
ESAIM: M2AN, 49 3 (2015) 755-785
Published online: 2015-04-08
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
Fast and High-Order Accuracy Numerical Methods for Time-Dependent Nonlocal Problems in $${\pmb {\mathbb {R}}}^2$$
Rongjun Cao, Minghua Chen, Michael K. Ng and Yu-Jiang WuJournal of Scientific Computing 84 (1) (2020)
DOI: 10.1007/s10915-020-01260-7
See this article
Discretization error cancellation in electronic structure calculation: toward a quantitative study
Eric Cancès and Geneviève DussonESAIM: Mathematical Modelling and Numerical Analysis 51 (5) 1617 (2017)
DOI: 10.1051/m2an/2017035
See this article
Basis Sets in Computational Chemistry
Eric CancèsLecture Notes in Chemistry, Basis Sets in Computational Chemistry 107 103 (2021)
DOI: 10.1007/978-3-030-67262-1_4
See this article
A second-order accurate scheme for two-dimensional space fractional diffusion equations with time Caputo-Fabrizio fractional derivative
Jiankang Shi and Minghua ChenApplied Numerical Mathematics (2020)
DOI: 10.1016/j.apnum.2020.01.007
See this article
Fixed point approach for weakly asymptotic stability of fractional differential inclusions involving impulsive effects
Tran Dinh Ke and Do LanJournal of Fixed Point Theory and Applications 19 (4) 2185 (2017)
DOI: 10.1007/s11784-017-0412-6
See this article
Numerical and analytical investigations for solving the inverse tempered fractional diffusion equation via interpolating element-free Galerkin (IEFG) method
Mostafa Abbaszadeh and Mehdi DehghanJournal of Thermal Analysis and Calorimetry (2020)
DOI: 10.1007/s10973-020-10116-z
See this article
Efficient Multistep Methods for Tempered Fractional Calculus: Algorithms and Simulations
Ling Guo, Fanhai Zeng, Ian Turner, Kevin Burrage and George Em KarniadakisSIAM Journal on Scientific Computing 41 (4) A2510 (2019)
DOI: 10.1137/18M1230153
See this article
High Order Algorithm for the Time-Tempered Fractional Feynman–Kac Equation
Minghua Chen and Weihua DengJournal of Scientific Computing 76 (2) 867 (2018)
DOI: 10.1007/s10915-018-0640-y
See this article
A discontinuous Galerkin scheme for full-potential electronic structure calculations
Xiaoxu Li and Huajie ChenJournal of Computational Physics 385 33 (2019)
DOI: 10.1016/j.jcp.2019.02.006
See this article
Error Estimates of Some Numerical Atomic Orbitals in Molecular Simulations
Huajie Chen and Reinhold SchneiderCommunications in Computational Physics 18 (1) 125 (2015)
DOI: 10.4208/cicp.170414.231214a
See this article
Variational projector augmented-wave method: theoretical analysis and preliminary numerical results
X. Blanc, E. Cancès and M.-S. DupuyNumerische Mathematik 144 (2) 271 (2020)
DOI: 10.1007/s00211-019-01082-2
See this article
A posteriori error estimation for the non-self-consistent Kohn–Sham equations
Michael F. Herbst, Antoine Levitt and Eric CancèsFaraday Discussions 224 227 (2020)
DOI: 10.1039/D0FD00048E
See this article
Two L1 Schemes on Graded Meshes for Fractional Feynman-Kac Equation
Minghua Chen, Suzhen Jiang and Weiping BuJournal of Scientific Computing 88 (3) (2021)
DOI: 10.1007/s10915-021-01581-1
See this article
Convergence analysis of a LDG method for tempered fractional convection–diffusion equations
Mahdi Ahmadinia and Zeinab SafariESAIM: Mathematical Modelling and Numerical Analysis 54 (1) 59 (2020)
DOI: 10.1051/m2an/2019052
See this article
On substantial fractional difference operator
Syed Sabyel Haider and Mujeeb ur RehmanAdvances in Difference Equations 2020 (1) (2020)
DOI: 10.1186/s13662-020-02594-0
See this article
Discretization Error Cancellation in the Plane-Wave Approximation of Periodic Hamiltonians with Coulomb Singularities
Mi-Song DupuyJournal of Scientific Computing 80 (2) 859 (2019)
DOI: 10.1007/s10915-019-00959-6
See this article
Characterization of image spaces of Riemann-Liouville fractional integral operators on Sobolev spaces Wm,p (Ω)
Lijing Zhao, Weihua Deng and Jan S. HesthavenScience China Mathematics 64 (12) 2611 (2021)
DOI: 10.1007/s11425-019-1720-1
See this article
Variational projector-augmented wave method: A full-potential approach for electronic structure calculations in solid-state physics
Mi-Song DupuyJournal of Computational Physics 442 110510 (2021)
DOI: 10.1016/j.jcp.2021.110510
See this article
The Asymptotic Behaviour of Fractional Lattice Systems with Variable Delay
Linfang Liu, Tomás Caraballo and Peter E. KloedenFractional Calculus and Applied Analysis 22 (3) 681 (2019)
DOI: 10.1515/fca-2019-0038
See this article
Numerical analysis of multiple scattering theory for electronic structure calculations
Xiaoxu Li, Huajie Chen and Xingyu GaoIMA Journal of Numerical Analysis (2022)
DOI: 10.1093/imanum/drac040
See this article
Correction of High-Order $$L_k$$ Approximation for Subdiffusion
Jiankang Shi, Minghua Chen, Yubin Yan and Jianxiong CaoJournal of Scientific Computing 93 (1) (2022)
DOI: 10.1007/s10915-022-01984-8
See this article
Crank-Nicolson ADI finite difference/compact difference schemes for the 3D tempered integrodifferential equation associated with Brownian motion
Leijie Qiao, Wenlin Qiu and Da XuNumerical Algorithms (2022)
DOI: 10.1007/s11075-022-01454-0
See this article