On the theory and application of one-step numerical schemes for solving quantum stochastic differential equation (QSDE)

DOI10.1142/S1793557114500375zbMath1304.65007WikidataQ115244547 ScholiaQ115244547MaRDI QIDQ2925274

Titilayo O. Akinwumi, B. J. Adegboyegun

Publication date: 21 October 2014

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

boson Fock spacequantum stochastic differential equationRunge-Kutta's methodone-step integral method

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Ordinary differential equations and systems with randomness (34F05) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30)

Cites Work

• Quantum Ito's formula and stochastic evolutions
• Lipschitzian quantum stochastic differential inclusions
• Quantum stochastic differential inclusions of hypermaximal monotone type
• On convergence of one-step schemes for weak solutions of quantum stochastic differential equations

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