Advanced operator splitting-based semi-implicit spectral method to solve the binary phase-field crystal equations with variable coefficients
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Publication:1005401
DOI10.1016/j.jcp.2008.11.011zbMath1156.82373OpenAlexW1984463962MaRDI QIDQ1005401
Zhongyun Fan, Tamás Pusztai, György Tegze, Gurvinder Bansel, László Gránásy, Gyula I. Tóth
Publication date: 9 March 2009
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: http://bura.brunel.ac.uk/handle/2438/3015
Statistical mechanics of crystals (82D25) Parallel numerical computation (65Y05) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)
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Cites Work
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- Weighted sequential splittings and their analysis
- An efficient algorithm for solving the phase field crystal model
- Unconditionally stable methods for Hamilton-Jacobi equations
- On the convergence and local splitting error of different splitting schemes
- A spectral filtering procedure for eddy-resolving simulations with a spectral element ocean model
- Non-equilibrium Ginzburg-Landau model driven by colored noise
- Error analysis of the numerical solution of split differential equations
- Computation of self-similar solution profiles for the nonlinear Schrödinger equation
- On the Convergence Rate ofOperator Splitting for Hamilton--Jacobi Equations with Source Terms
- A numerical approach to interface curves for some nonlinear diffusion equations
- A Fully Coupled Solver for Incompressible Navier–Stokes Equations using Operator Splitting
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- On the Construction and Comparison of Difference Schemes
- Numerical Analysis and Its Applications
- Operator splitting methods for systems of convection-diffusion equations: nonlinear error mechanisms and correction strategies
