Trace preserving quantum dynamics using a novel reparametrization-neutral summation-by-parts difference operator

DOI10.1016/j.jcp.2020.109917OpenAlexW3015201289MaRDI QIDQ2123979

Oskar Ålund, Jan Nordström, Alexander Rothkopf, Yukinao Akamatsu, Fredrik Laurén, Takahiro Miura

Publication date: 14 April 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.04406

zbMATH Keywords

time integrationinitial boundary value problemsdissipative systemsopen quantum systemssummation-by-parts operatorsmimetic operator

Mathematics Subject Classification ID

Quantum theory (81-XX) Relativity and gravitational theory (83-XX)

Uses Software

• SLEPc
• PETSc

Cites Work

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• Summation-by-parts in time
• Review of summation-by-parts schemes for initial-boundary-value problems
• The SBP-SAT technique for initial value problems
• Weak and strong wall boundary procedures and convergence to steady-state of the Navier-Stokes equations
• Diagonal-norm summation by parts operators for finite difference approximations of third and fourth derivatives
• Conservative finite difference formulations, variable coefficients, energy estimates and artificial dissipation
• On the generators of quantum dynamical semigroups
• Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: Methodology and application to high-order compact schemes
• Review of summation-by-parts operators with simultaneous approximation terms for the numerical solution of partial differential equations
• A roadmap to well posed and stable problems in computational physics
• Finite volume methods, unstructured meshes and strict stability for hyperbolic problems
• Summation by parts operators for finite difference approximations of second derivatives
• Mimetic properties of difference operators: product and chain rules as for functions of bounded variation and entropy stability of second derivatives
• Summation-by-parts operators for correction procedure via reconstruction
• Energy stable flux reconstruction schemes for advection-diffusion problems
• Spectral methods on arbitrary grids
• Summation-By-Parts in Time: The Second Derivative
• A Skew-Symmetric Discontinuous Galerkin Spectral Element Discretization and Its Relation to SBP-SAT Finite Difference Methods
• Computing matrix functions
• Entropy Stable Spectral Collocation Schemes for the Navier--Stokes Equations: Discontinuous Interfaces
• SLEPc
• A Stable Penalty Method for the Compressible Navier–Stokes Equations: I. Open Boundary Conditions
• Completely positive dynamical semigroups of N-level systems
• Operator Splitting

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