Results 91 to 100 of about 112,470 (228)
International Journal for Numerical Methods in Engineering, Volume 126, Issue 20, 30 October 2025.ABSTRACT In this paper, we numerically examine the precision challenges that emerge in automatic differentiation and numerical integration in various tasks now tackled by physics‐informed neural networks (PINNs). Specifically, we illustrate how ill‐posed problems or inaccurately computed functions can cause serious precision issues in differentiation ...
Josef Daněk, Jan Pospíšil
wiley +1 more source
Operational Rules for a Mixed Operator of the Erdélyi-Kober Type [PDF]
, 2004 2000 Mathematics Subject Classification: 26A33 (main), 44A40, 44A35, 33E30, 45J05, 45D05In the paper, the machinery of the Mellin integral transform is applied to deduce and prove some operational relations for a general operator of the Erdélyi-Kober ...
Luchko, Yury
core
AIChE Journal, Volume 71, Issue 10, October 2025.ABSTRACT Large‐scale bioreactors in industrial bioprocesses pose challenges due to extracellular concentration gradients and intracellular heterogeneity. This study introduces a novel approach integrating the method of moments with truncated normal distributions (MM‐TND) to model intracellular heterogeneity while maintaining computational feasibility ...
Ittisak Promma +3 more
wiley +1 more source
پژوهشهای ریاضی, 2020 The main aim of this paper is to apply the Chebyshev polynomials for the solution of the linear Fredholm integro-differential-difference equation of high orders. It is usually difficult to analytically solve this equation.
Babolian, Fatemeh Chitsaz, Ali Davari
doaj
Efficient auxiliary-mode approach for time-dependent nanoelectronics
New Journal of Physics, 2016 A new scheme for numerically solving the equations arising in the time-dependent non-equilibrium Green's function formalism is developed. It is based on an auxiliary-mode expansion of the self-energies which convert the complicated set of integro ...
Bogdan Stefan Popescu, Alexander Croy
doaj +1 more source
Hopf bifurcation of integro-differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2000 A method reducing integro-differential equations (IDEs) to system of ordinary ones is proposed. On this base stability and bifurcation phenomena in critical cases are studied.
Alexander Domoshnitsky, Ya. Goltser
doaj +1 more source
A novel deterministic forecast model for the Covid-19 epidemic based on a single ordinary integro-differential equation [PDF]
, 2020 Felix Rieper +2 more
openalex +1 more source
An Integro-Differential Structure for Dirac Distributions
, 2018 We develop a new algebraic setting for treating piecewise functions and distributions together with suitable differential and Rota-Baxter structures. Our treatment aims to provide the algebraic underpinning for symbolic computation systems handling such ...
Rosenkranz, Markus, Serwa, Nitin
core
About reducing integro-differential equations with infinite limits of integration to systems of ordinary differential equations [PDF]
, 2013 Yakov Goltser, Alexander Domoshnitsky
openalex +1 more source
A novel deterministic forecast model for COVID-19 epidemic based on a single ordinary integro-differential equation [PDF]
, 2020 Felix Rieper +2 more
openalex +1 more source