Results 141 to 150 of about 2,746 (252)

Maximum Principle for Boundary Control Problems Arising in Optimal Investment with Vintage Capital [PDF]

open access: yes
The paper concerns the study of the Pontryagin Maximum Principle for an infinite dimensional and infinite horizon boundary control problem for linear partial differential equations.
Silvia Faggian
core  

RAMS: Residual‐Based Adversarial‐Gradient Moving Sample Method for Scientific Machine Learning in Solving Partial Differential Equations

open access: yesAdvanced Intelligent Discovery, Volume 2, Issue 3, June 2026.
We propose a residual‐based adversarial‐gradient moving sample (RAMS) method for scientific machine learning that treats samples as trainable variables and updates them to maximize the physics residual, thereby effectively concentrating samples in inadequately learned regions.
Weihang Ouyang   +4 more
wiley   +1 more source

ERROR ESTIMATES FOR FINITE DIFFERENCE-QUADRATURE SCHEMES FOR FULLY NONLINEAR DEGENERATE PARABOLIC INTEGRO-PDES

open access: yes, 2007
We derive error estimates for finite difference-quadrature schemes approximating viscosity solutions of nonlinear degenerate parabolic integro-PDEs with variable diffusion coefficients. The relevant equations can be viewed as Bellman equations associated
I. H. Biswas   +5 more
core  

Addressing Small Data Challenges in Biopharmaceutical Development and Manufacturing: A Mini Review of Multi‐Fidelity Techniques

open access: yesBiotechnology and Bioengineering, Volume 123, Issue 6, Page 1465-1480, June 2026.
ABSTRACT The growing demand for biopharmaceutical products reflects their effectiveness in medical treatments. However, developing new biopharmaceuticals remains a major bottleneck, often taking up to a decade before market approval. Machine learning (ML) models have the potential to accelerate this process, but their success depends on access to large
Mohammad Golzarijalal   +2 more
wiley   +1 more source

Chapter 4: Analytical Solutions of Fractional PDEs, in the Book: Fractional Modelling of Fluid Flow and Transport Phenomena

open access: yes
This chapter introduces the analytical solutions of fractional partial differential equations (PDEs), focusing on their significance in modeling transport phenomena that exhibit anomalous diffusion or non-local dynamics.
El-Amin, Mohamed F.
core  

Caffeine and Headache: Exploring the Multifaceted Relationship

open access: yesBrain and Behavior, Volume 16, Issue 6, June 2026.
ABSTRACT Purpose To explore the multifaceted relationship between caffeine and headache disorders, focusing on its dual role as both an analgesic and a potential trigger and to summarize the mechanisms underlying its anti‐nociceptive effects. Method This narrative review synthesizes evidence from experimental, clinical, and epidemiological studies on ...
Mona Hussein   +6 more
wiley   +1 more source

Introductory Finite Volume Methods for PDEs - eBooks and textbooks from bookboon.com

open access: yes, 2011
82 PagesThis book will be useful to scientists and engineers who want a simple introduction to the finite volume method. A series of computer codes are given on the companion website along with worked solutions to exercises. This book is a companion text
C. G. Mingham, D. M. Causon
core  

Successful Revascularization of Chronic Total Occlusions in Patients With Chronic Thromboembolic Pulmonary Disease

open access: yesCatheterization and Cardiovascular Interventions, Volume 107, Issue 7, Page 2323-2334, June 1, 2026.
ABSTRACT Background Chronic thromboembolic pulmonary disease (CTEPD) leads to chronic total occlusions (CTOs) of the pulmonary arteries in a minority of patients. Treatment of CTOs with balloon pulmonary angioplasty (BPA) may substantially improve patient hemodynamics but presents unique technical challenges and has previously been associated with a ...
Elliot J. Stein   +4 more
wiley   +1 more source

Rigorous computation of solutions of semi-linear PDEs on unbounded domains via spectral methods

open access: yes
In this article we present a general method to rigorously prove existence of strong solutions to a large class of autonomous semi-linear PDEs in a Hilbert space $H^{l}\subset H^{s}(\mathbb{R}^{m})$ ($s\geq1$) via computer-assisted proofs. Our approach is
Nave, Jean-Christophe   +2 more
core  

Advanced control of non‐isothermal axial dispersion tubular reactors with recycle‐induced state delay

open access: yesThe Canadian Journal of Chemical Engineering, Volume 104, Issue 6, Page 3018-3037, June 2026.
Abstract We develop a delay‐aware estimation and control framework for a non‐isothermal axial dispersion tubular reactor modelled as a coupled parabolic‐hyperbolic PDE system with recycle‐induced state delay. The infinite‐dimensional dynamics are preserved without spatial discretization by representing the delay as a transport PDE and adopting a late ...
Behrad Moadeli, Stevan Dubljevic
wiley   +1 more source

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