Uniquely solvable and energy stable decoupled numerical schemes for the Cahn–Hilliard–Stokes–Darcy system for two-phase flows in karstic geometry
Sign Up to like & getrecommendations! Published in 2017 at "Numerische Mathematik"
DOI: 10.1007/s00211-017-0870-1
Abstract: We propose and analyze two novel decoupled numerical schemes for solving the Cahn–Hilliard–Stokes–Darcy (CHSD) model for two-phase flows in karstic geometry. In the first numerical scheme, we explore a fractional step method (operator splitting) to… read more here.
Keywords: system; decoupled numerical; numerical schemes; geometry ... See more keywords
Conservative numerical schemes with optimal dispersive wave relations: Part I. Derivation and analysis
Sign Up to like & getrecommendations! Published in 2021 at "Numerische Mathematik"
DOI: 10.1007/s00211-021-01218-3
Abstract: An energy-conserving and an energy-and-enstrophy conserving numerical schemes are derived, by approximating the Hamiltonian formulation, based on the Poisson brackets and the vorticity-divergence variables, of the inviscid shallow water flows. The conservation of the energy… read more here.
Keywords: conservative numerical; numerical schemes; wave relations; optimal dispersive ... See more keywords
On efficient numerical schemes for a two-mode phase field crystal model with face-centered-cubic (FCC) ordering structure
Sign Up to like & getrecommendations! Published in 2019 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2019.06.017
Abstract: Abstract In this paper, we consider time marching numerical schemes to solve a two-mode phase field crystal model with face-centered-cubic ordering. We propose two type, linear, and unconditionally energy stable schemes by combining the recently… read more here.
Keywords: two mode; numerical schemes; field crystal; phase field ... See more keywords
Numerical schemes for a class of tempered fractional integro-differential equations
Sign Up to like & getrecommendations! Published in 2020 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2020.05.026
Abstract: Abstract For a class of tempered fractional integro-differential equation of the Caputo type, a comparative study of three numerical schemes is presented in this paper. The schemes discussed are Linear, Quadratic and Quadratic-Linear schemes. Four… read more here.
Keywords: integro differential; tempered fractional; numerical schemes; fractional integro ... See more keywords
Pseudo-symplectic numerical schemes for Landau-Lifshitz dynamics
Sign Up to like & getrecommendations! Published in 2018 at "Physica B: Condensed Matter"
DOI: 10.1016/j.physb.2017.10.067
Abstract: Abstract Numerical techniques for the time integration of Landau-Lifshitz magnetization dynamics are considered. In the continuous model, such dynamics implies the conservation of magnetization amplitude and, when dissipation is neglected, even the conservation of free… read more here.
Keywords: schemes landau; landau lifshitz; numerical schemes; symplectic numerical ... See more keywords
Comparison of different numerical schemes for 1D conservation laws
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Interdisciplinary Mathematics"
DOI: 10.1080/09720502.2020.1792665
Abstract: Abstract The importance of numerical flux solvers (NFS) in constructing conservative methods is well known, but it is not always clear which solvers more suitable for given conservation laws. To elucidate this, we compare some… read more here.
Keywords: different numerical; numerical schemes; lax friedrich; comparison different ... See more keywords
Numerical Schemes without Saturation for Periodic Functions
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DOI: 10.1134/s1064562418050150
Abstract: For functions defined on closed smooth contours, formulas without saturation for calculating derivatives, integrals, interpolation, and integrals with logarithmic singularity are derived. read more here.
Keywords: without saturation; periodic functions; saturation periodic; schemes without ... See more keywords
On the Construction of Exact Numerical Schemes for Linear Delay Models
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DOI: 10.3390/math11081836
Abstract: Exact numerical schemes have previously been obtained for some linear retarded delay differential equations and systems. Those schemes were derived from explicit expressions of the exact solutions, and were expressed in the form of perturbed… read more here.
Keywords: schemes linear; numerical schemes; exact numerical; construction exact ... See more keywords
Mass- and Energy-Conserved Numerical Schemes for Nonlinear Schr ¨odinger Equations
Sign Up to like & getrecommendations! Published in 2019 at "Communications in Computational Physics"
DOI: 10.4208/cicp.2019.js60.05
Abstract: In this paper, we propose a family of time-stepping schemes for approximating general nonlinear Schrodinger equations. The proposed schemes all satisfy both mass conservation and energy conservation. Truncation and dispersion error analyses are provided for… read more here.
Keywords: energy conserved; energy; mass energy; numerical schemes ... See more keywords