A time splitting method for the three-dimensional linear Pauli equation

DOI10.1515/cmam-2023-0094zbMath1540.65411MaRDI QIDQ6557144

Michele Ruggeri, Timon S. Gutleb, Norbert J. Mauser, Hans Peter Stimming

Publication date: 18 June 2024

Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

operator splittingPauli equationmagnetic Schrödinger equationtime splittingsemi-relativistic quantum mechanics

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Cites Work

• An improved semi-Lagrangian time splitting spectral method for the semi-classical Schrödinger equation with vector potentials using NUFFT
• Defect-based local error estimators for high-order splitting methods involving three linear operators
• Error bounds for exponential operator splittings
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• A semi-Lagrangian time splitting method for the Schrödinger equation with vector potentials
• A splitting approach for the magnetic Schrödinger equation
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• Julia: A Fresh Approach to Numerical Computing
• High-Order Exponential Operator Splitting Methods for Time-Dependent Schrödinger Equations
• Splitting methods
• Numerical Approximation of Self-Consistent Vlasov Models for Low-Frequency Electromagnetic Phenomena
• Spectral and Pseudo Spectral Methods for Advection Equations
• A Spectral Method of Characteristics for Hyperbolic Problems
• The Lie-Trotter splitting for nonlinear evolutionary problems with critical parameters: a compact local error representation and application to nonlinear Schrodinger equations in the semiclassical regime
• Dimension-independent Sparse Fourier Transform
• The selfconsistent Pauli equation

Related Items (1)

Computational methods in applied mathematics (CMAM 2022 Conference, Part 1)

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