A fast BDF2 Galerkin finite element method for the one-dimensional time-dependent Schrödinger equation with artificial boundary conditions

Xie, Jiangming; Li, Maojun

doi:10.1016/j.apnum.2023.02.006

Applied Numerical Mathematics

2023

DOI: 10.1016/j.apnum.2023.02.006

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A fast BDF2 Galerkin finite element method for the one-dimensional time-dependent Schrödinger equation with artificial boundary conditions

Jiangming Xie

Maojun Li

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2024

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Modeling the Properties of Magnetostrictive Elements Using Quantum Emulators

Karpukhin,

Bormotov,

Manukyan

2024

Computation

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The article discusses mathematical and numerical methods for modeling magnetostrictive multielectronic systems based on a combination of quantum and classical methods. The algorithm development suitable for the investigation of magnetostrictive phenomena at the micro level using the classical-quantum method implemented on a modern classical computer is justified. The algorithms and structure of the software package are given. The adequacy of the quantum-classical method is verified by comparing the calculated results of the properties of known magnetostrictive materials with the real properties of magnetostrictive alloys.

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Modeling the Properties of Magnetostrictive Elements Using Quantum Emulators

Karpukhin,

Bormotov,

Manukyan

2024

Computation

View full text Add to dashboard Cite

show abstract

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A fast BDF2 Galerkin finite element method for the one-dimensional time-dependent Schrödinger equation with artificial boundary conditions

Cited by 1 publication

References 33 publications

Modeling the Properties of Magnetostrictive Elements Using Quantum Emulators

Modeling the Properties of Magnetostrictive Elements Using Quantum Emulators

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