Results 131 to 140 of about 173,975,381 (346)

A posteriori error analysis for optimization with PDE constraints

Mathematical Control and Related Fields
We consider finite element solutions to optimization problems, where the state depends on the possibly constrained control through a linear partial differential equation. Basing upon a reduced and rescaled optimality system, we derive a posteriori bounds capturing the approximation of the state, the adjoint state, the control and the observation.
Gaspoz, Fernando, Kreuzer, Christian, Veeser, Andreas, Wollner, Winnifried   +3 more
openaire   +4 more sources

Indirect RBFN method with scattered points for numerical solution of PDEs [PDF]

, 2004
This paper is concerned with the use of the indirect radial basis function network (RBFN) method in solving partial differential equations (PDEs) with scattered points.
Mai-Duy, Nam
core  

Cilostazol in patients with heart failure and preserved ejection fraction—The CLIP‐HFpEF trial

ESC Heart Failure, Volume 12, Issue 2, Page 1437-1446, April 2025.
• Cilostazol is an oral PDE‐3 inhibitor that may have advantageous effects in heart failure with preserved ejection fraction (HFpEF). • Cilostazol significantly improved short‐term heart failure‐related health status scores (KCCQ‐12) and NT‐proBNP levels when compared to placebo.
Norman Aiad, Jeanne du Fay de Lavallaz, Michael J. Zhang, Thanat Chaikijurajai, Bo Ye, Prabhjot S. Nijjar, Julie A. Lahiri, Cindy M. Martin, Tamas Alexy, Markus Meyer   +9 more
wiley   +1 more source

Learning image derived PDE-phenotypes from fMRI data

Brain Informatics
Partial differential equations (PDEs) model various physical phenomena, such as electromagnetic fields and fluid mechanics. Methods such as sparse identification of nonlinear dynamics (SINDy) and PDE-Net 2.0 have been developed to identify and model PDEs
Ion Bica, Ryan Trang, Rui Hu, Wanhua Su, Zhichun Zhai, Qingrun Zhang   +5 more
doaj   +1 more source

Geometry of PDEs and Mechanics.

, 1996
Algebraic Geometry: Algebraic Complements, Affine spaces, Differential Manifolds, Grassmann Manifolds, Spectral Sequences. 2. Differential Equations (PDES): Geometry of Differential Equations, Ordinary Differential Equations (ODEs), Characteristics ...
PRASTARO, Agostino
core  

Inherited metabolic epilepsies–established diseases, new approaches

Epilepsia Open, EarlyView.
Abstract Inherited metabolic epilepsies (IMEs) represent the inherited metabolic disorders (IMDs) in which epilepsy is a prevailing component, often determining other neurodevelopmental outcomes associated with the disorder. The different metabolic pathways affected by individual IMEs are the basis of their rarity and heterogeneity.
Itay Tokatly Latzer, Phillip L. Pearl
wiley   +1 more source

MHD unsteady flow of carbon nanotubes over nonlinear radiative surface with anisotropic slip conditions: computational analysis of irreversibility for Yamada-Ota model

Engineering Applications of Computational Fluid Mechanics
In this study, the Yamada-Ota model is used to look for an analysis of irreversibility when there is nonsymmetric magnetohydrodynamic flow inside a nanoliquid made of carbon nanotubes (CNTs) across an unsteady three-dimensional stretching surface.
Zafar Mahmood, K. Rafique, Adnan, Umar Khan, Taseer Muhammad, Ahmed M. Hassan   +5 more
semanticscholar   +1 more source

A collocation method based on one-dimensional RBF interpolation scheme for solving PDEs [PDF]

, 2007
Purpose -- To present a new collocation method for numerically solving partial differential equations (PDEs) in rectangular domains. Design/methodology/approach -- The proposed method is based on a Cartesian grid and a one-dimensional integrated-radial ...
Mai-Duy, N., Tanner, R. I.
core   +1 more source

Precision therapies for genetic epilepsies in 2025: Promises and pitfalls

Epilepsia Open, EarlyView.
Abstract By targeting the underlying etiology, precision therapies offer an exciting paradigm shift to improve the stagnant outcomes of drug‐resistant epilepsies, including developmental and epileptic encephalopathies. Unlike conventional antiseizure medications (ASMs) which only treat the symptoms (seizures) but have no effect on the underlying ...
Shuyu Wang, Emilio Perucca, Samuel F. Berkovic, Piero Perucca   +3 more
wiley   +1 more source

A Quantum Algorithm for Multidimensional Partial Differential Equations with Practical Case Studies

Algorithms
Partial differential equations (PDEs) play a central role in scientific and engineering analysis, with applications spanning fluid dynamics, heat and mass transfer, electromagnetism, quantum mechanics, and financial modeling, where they are used to ...
Manu Chaudhary, Kareem El-Araby, Devon Bontrager, Alvir Nobel, Shima Mohaghegh, Kieran Egan, Manish Singh, Trey Campbell, Jacob Spry, Luis Aviles, Naveed Mahmud, Pranav Reddy, Pruthviraj Sadhankar, Shivansh Shrivas, Esam El-Araby   +14 more
doaj   +1 more source