Results 21 to 30 of about 26,590 (142)

Classical-quantum correspondence for shape-invariant systems

, 2015
A quantization procedure, which has recently been introduced for the analysis of Painlev\'e equations, is applied to a general time-independent potential of a Newton equation.
Grundland, A. M., Riglioni, D.
core   +1 more source

Twisted symmetries of differential equations [PDF]

, 2009
We review the basic ideas lying at the foundation of the recently developed theory of twisted symmetries of differential equations, and some of its ...
Gaeta, Giuseppe
core   +1 more source

What to Make and How to Make It: Combining Machine Learning and Statistical Learning to Design New Materials

Advanced Intelligent Discovery, EarlyView.
Combining machine learning and probabilistic statistical learning is a powerful way to discover and design new materials. A variety of machine learning approaches can be used to identify promising candidates for target applications, and causal inference can help identify potential ways to make them a reality.
Jonathan Y. C. Ting, Amanda S. Barnard
wiley   +1 more source

Rigorous Multiple-Precision Evaluation of D-Finite Functions in SageMath [PDF]

, 2016
We present a new open source implementation in the SageMath computer algebra system of algorithms for the numerical solution of linear ODEs with polynomial coefficients.
Mezzarobba, Marc
core   +3 more sources

Computing Periods of Hypersurfaces

, 2019
We give an algorithm to compute the periods of smooth projective hypersurfaces of any dimension. This is an improvement over existing algorithms which could only compute the periods of plane curves.
Sertöz, Emre Can
core   +1 more source

Ulam‐type stability of ψ− Hilfer fractional‐order integro‐differential equations with multiple variable delays

Asian Journal of Control, EarlyView.
Abstract We study a nonlinear ψ−$$ \psi - $$ Hilfer fractional‐order delay integro‐differential equation ( ψ−$$ \psi - $$ Hilfer FrODIDE) that incorporates N−$$ N- $$ multiple variable time delays. Utilizing the ψ−$$ \psi - $$ Hilfer fractional derivative ( ψ−$$ \psi - $$ Hilfer‐FrD), we investigate the Ulam–Hyers––Rassias (U–H–R), semi‐Ulam–Hyers ...
Cemil Tunç, Osman Tunç
wiley   +1 more source

Globally nilpotent differential operators and the square Ising model

, 2008
We recall various multiple integrals related to the isotropic square Ising model, and corresponding, respectively, to the n-particle contributions of the magnetic susceptibility, to the (lattice) form factors, to the two-point correlation functions and ...
Bostan, A., Boukraa, S., Hassani, S., Maillard, J. -M., Weil, J. -A., Zenine, N.   +5 more
core   +3 more sources

Space‐Time Modeling and Numerical Simulations of Non‐Newtonian Fluids Using Internal Variables

International Journal for Numerical Methods in Fluids, EarlyView.
Based on Hamilton's principle, the study focuses on a novel strategy for the modeling of non‐Newtonian fluids with the help of internal variables. Here, the viscosity evolves locally in space and time. Three configurations are numerically implemented, namely channel flow, a benchmark, and a lid‐driven cavity.
Philipp Junker, Thomas Wick
wiley   +1 more source

Modeling and Analysis of an Age-Structured Malaria Model in the Sense of Atangana–Baleanu Fractional Operators

Journal of mathematics
In this paper, integer- and fractional-order models are discussed to investigate the dynamics of malaria in a human host with a varied age distribution.
Dawit Kechine Menbiko, Chernet Tuge Deressa   +1 more
semanticscholar   +1 more source

Fast derivatives of likelihood functionals for ODE based models using adjoint-state method

, 2017
We consider time series data modeled by ordinary differential equations (ODEs), widespread models in physics, chemistry, biology and science in general.
Haber, Tom, Melicher, Valdemar, Vanroose, Wim   +2 more
core   +1 more source