Alberto Garcia - Academia.edu (original) (raw)

Alberto Garcia

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Papers by Alberto Garcia

Research paper thumbnail of Cell size dependence of transport coefficients in stochastic particle algorithms

Research paper thumbnail of The direct simulation Monte Carlo method

Page 1. COMPLTER SIMULATIONS THE DIRECT SIMULATION MONTE CARLO METHOD Francis J. Alexander and Al... more Page 1. COMPLTER SIMULATIONS THE DIRECT SIMULATION MONTE CARLO METHOD Francis J. Alexander and Alejandro L. Garcia Department Editors: Harvey Gould kgould@clarka.eei Jan Tobochnik jarit@kzoo,edu ...

Research paper thumbnail of The SIESTA method for ab initio order-N materials simulation

Journal of Physics-condensed Matter, 2002

We have developed and implemented a self-consistent density functional method using standard norm... more We have developed and implemented a self-consistent density functional method using standard norm-conserving pseudopotentials and a flexible, numerical LCAO basis set, which includes multiplezeta and polarization orbitals. Exchange and correlation are treated with the local spin density or generalized gradient approximations. The basis functions and the electron density are projected on a real-space grid, in order to calculate the Hartree and exchange-correlation potentials and matrix elements, with a number of operations that scales linearly with the size of the system. We use a modified energy functional, whose minimization produces orthogonal wavefunctions and the same energy and density as the Kohn-Sham energy functional, without the need of an explicit orthogonalization. Additionally, using localized Wannier-like electron wavefunctions allows the computation time and memory, required to minimize the energy, to also scale linearly with the size of the system. Forces and stresses are also calculated efficiently and accurately, thus allowing structural relaxation and molecular dynamics simulations.

Research paper thumbnail of Pluralismo Juridico RYrigoyen

Research paper thumbnail of Cell size dependence of transport coefficients in stochastic particle algorithms

Research paper thumbnail of The direct simulation Monte Carlo method

Page 1. COMPLTER SIMULATIONS THE DIRECT SIMULATION MONTE CARLO METHOD Francis J. Alexander and Al... more Page 1. COMPLTER SIMULATIONS THE DIRECT SIMULATION MONTE CARLO METHOD Francis J. Alexander and Alejandro L. Garcia Department Editors: Harvey Gould kgould@clarka.eei Jan Tobochnik jarit@kzoo,edu ...

Research paper thumbnail of The SIESTA method for ab initio order-N materials simulation

Journal of Physics-condensed Matter, 2002

We have developed and implemented a self-consistent density functional method using standard norm... more We have developed and implemented a self-consistent density functional method using standard norm-conserving pseudopotentials and a flexible, numerical LCAO basis set, which includes multiplezeta and polarization orbitals. Exchange and correlation are treated with the local spin density or generalized gradient approximations. The basis functions and the electron density are projected on a real-space grid, in order to calculate the Hartree and exchange-correlation potentials and matrix elements, with a number of operations that scales linearly with the size of the system. We use a modified energy functional, whose minimization produces orthogonal wavefunctions and the same energy and density as the Kohn-Sham energy functional, without the need of an explicit orthogonalization. Additionally, using localized Wannier-like electron wavefunctions allows the computation time and memory, required to minimize the energy, to also scale linearly with the size of the system. Forces and stresses are also calculated efficiently and accurately, thus allowing structural relaxation and molecular dynamics simulations.

Research paper thumbnail of Pluralismo Juridico RYrigoyen

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