Numerical solution of ordinary differential equations by fluctuationlessness theorem

DOI10.1007/s10910-009-9657-7zbMath1407.65072OpenAlexW2019829640MaRDI QIDQ977063

Metin Demiralp, Nejla Altay

Publication date: 16 June 2010

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-009-9657-7

zbMATH Keywords

eigenvaluesordinary differential equationsHilbert spacesfluctuations

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (7)

A probabilistic evolution approach trilogy. I: Quantum expectation value evolutions, block triangularity and conicality, truncation approximants and their convergence ⋮ A probabilistic evolution approach trilogy. III: Temporal variation of state variable expectation values from Liouville equation perspective ⋮ A probabilistic evolution approach trilogy. II: Spectral issues for block triangular evolution matrix, singularities, space extension ⋮ A contemporary linear representation theory for ordinary differential equations: probabilistic evolutions and related approximants for unidimensional autonomous systems ⋮ A probabilistic foundation for dynamical systems: theoretical background and mathematical formulation ⋮ A probabilistic foundation for dynamical systems: phenomenological reasoning and principal characteristics of probabilistic evolution ⋮ A high dimensional model representation based numerical method for solving ordinary differential equations

Cites Work

• Upper and lower bounds on the control field and the quality of achieved optimally controlled quantum molecular motion
• Optimal control of classical molecular dynamics: A perturbation formulation and the existence of multiple solutions
• On the computational complexity of ordinary differential equations
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