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Multi‐Goal‐Oriented Anisotropic Error Control and Mesh Adaptivity for Time‐Dependent Convection‐Dominated Problems

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT In this work, we present an anisotropic multi‐goal error control based on the dual weighted residual (DWR) method for time‐dependent convection–diffusion–reaction (CDR) equations. Motivated by former work, we combine multiple goals to single error functionals with weights chosen as algorithmic parameters.
Markus Bause, Marius Paul Bruchhäuser, Bernhard Endtmayer, Nils Margenberg, Ioannis Toulopoulos, Thomas Wick   +5 more
wiley   +1 more source

Storing quantum coherence in a quantum dot nuclear spin ensemble for over 100 milliseconds. [PDF]

Nat Commun
Dyte HE, Manna S, Covre da Silva SF, Rastelli A, Chekhovich EA.   +4 more
europepmc   +1 more source

NON-ALGEBRAIC LIMIT CYCLES(Topics Around Chaotic Dynamical Systems)

NON-ALGEBRAIC LIMIT CYCLES(Topics Around Chaotic Dynamical Systems)
openaire  

Modeling Pressure-Dependent Wave and Vessel Compliance in the Brain Following Middle Cerebral Artery Occlusion. [PDF]

Microcirculation
Zhao E, Barber J, Mathew-Steiner SS, Khanna S, Sen CK, Arciero J.   +5 more
europepmc   +1 more source

An effective deep learning algorithm for medical image registration. [PDF]

PLOS Digit Health
Deng J, Chen K, Li M, Zuo Z, Frangi AF, Zhang J.   +5 more
europepmc   +1 more source

A topological method of generating action potentials and electroencephalography oscillations in a surface network. [PDF]

R Soc Open Sci
Sen S.
europepmc   +1 more source

The adaptation property in non-equilibrium chemical systems. [PDF]

J Math Biol
Franco E, Velázquez JJL.
europepmc   +1 more source

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On a Liouville Integrable Planar Differential System with Non-Algebraic Limit Cycle

2021 International Conference on Recent Advances in Mathematics and Informatics (ICRAMI), 2021
In this paper, we prove that a class of differential system of degree nine is Liouville integrable by transforming it into a Bernoulli differential equation and we determine exactly its first integral. This allows us to show that this class admits an explicit non-algebraic limit cycle enclosing the origin, here a non-elementary singular point.
Meryem Belattar, Rachid Cheurfa, Ahmed Bendjeddou   +2 more
openaire   +3 more sources

Planar Polynomial Systems with Non-Algebraic Limit Cycles

AIP Conference Proceedings, 2009
In this paper, we study the existence of the non‐algebraic limit cycles of the systems dxdt = Pn(x,y)+xRm(x,y) dydt = Qn(x,y)+yRm(x,y) where Pn(x,y), Qn(x,y) and Rm(x,y) are homogeneous polynomials of degrees n, n and m respectively with ...
Khalil I. T. Al-Dosary, George Maroulis, Theodore E. Simos   +2 more
openaire   +1 more source