## 37 Citations

A MATRIX FORMULATION OF FROBENIUS POWER SERIES SOLUTIONS USING PRODUCTS OF 4× 4 MATRICES

- Mathematics
- 2017

In Coddington and Levison [7, p. 119, Thm. 4.1] and Balser [4, p. 18-19, Thm. 5], matrix formulations of Frobenius theory, near a regular singular point, are given using 2× 2 matrix recurrence…

Symbolical Algebra as a Foundation for Calculus: D. F. Gregory's Contribution

- Mathematics
- 2002

Abstract Duncan Farquharson Gregory (1813–1844) was a mathematician and founder of the Cambridge Mathematical Journal . His 1841 Examples of the Processes of the Differential and Integral Calculus…

Modelling tidal streams from galactic satellites

- Physics
- 2019

Astrophysical simulations are very useful for understanding the physical phenomena of the stellar systems. In this simulation, the computational cost is one of the main concern. To tackle this issue,…

frost: a momentum-conserving CUDA implementation of a hierarchical fourth-order forward symplectic integrator

- Physics
- 2021

We present a novel hierarchical formulation of the fourth-order forward symplectic integrator and its numerical implementation in the GPU-accelerated direct-summation N-body code FROST. The new…

An explicit Floquet-type representation of Riccati aperiodic exponential semigroups

- MathematicsInt. J. Control
- 2021

A rather surprising Floquet-type representation of time-varying transition matrices associated with a class of nonlinear matrix differential Riccati equations, yielding what seems to be the first results of this type for this class of models.

Semiclassical interpretation of Wei–Norman factorization for SU(1, 1) and its related integral transforms

- Mathematics
- 2020

We present an interpretation of the functions appearing in the Wei–Norman factorization of the evolution operator for a Hamiltonian belonging to the SU(1,1) algebra in terms of the classical…

Ground and Explanation in Mathematics

- Philosophy
- 2019

© 2019 Marc Lange This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. I ncreased attention has recently been paid to the fact that in mathematical…

Calcul différentiel et intégral adapté aux substitutions par Volterra

- PhilosophyHistoria Mathematica
- 2019

Exact solution of time-dependent Lindblad equations with closed algebras

- Physics, MathematicsPhysical Review A
- 2019

Time-dependent Lindblad master equations have important applications in areas ranging from quantum thermodynamics to dissipative quantum computing. In this paper we outline a general method for…