Results 81 to 90 of about 1,536 (163)

Stability of a Fully Discrete Local Discontinuous Galerkin Method for the Generalized Benjamin–Ono Equation

Numerical Methods for Partial Differential Equations, Volume 42, Issue 4, July 2026.
ABSTRACT The main purpose of this paper is to design a fully discrete local discontinuous Galerkin (LDG) scheme for the generalized Benjamin–Ono equation. First, we prove the L2$$ {L}^2 $$‐stability for the proposed semi‐discrete LDG scheme and obtained a suboptimal order of convergence for power nonlinear flux.
Mukul Dwivedi, Tanmay Sarkar
wiley   +1 more source

Beyond CO2: Incorporating Bicarbonate, Dynamic Carbon Speciation, and Stoichiometric Plasticity Into Algal Growth Models

Biotechnology and Bioengineering, Volume 123, Issue 6, Page 1491-1502, June 2026.
ABSTRACT The design of biological carbon capture systems to uptake carbon dioxide by photoautotrophic cultivation of algae has been proposed to mitigate atmospheric carbon emissions. Multiple models to predict algal growth as a function of nutrients have been proposed, but few have delved into the complex dynamic reactions of algal growth as influenced
Elizabeth Flanagan, Caye Drapcho, Mary Katherine Watson   +2 more
wiley   +1 more source

Computational Rheo‐Hydrodynamic Analysis of Non‐Newtonian Blood Flow Through a Tilted Ellipsoidal Stenosed Vascular Segment

Engineering Reports, Volume 8, Issue 6, June 2026.
Non‐Newtonian blood flow through multiple tilted ellipsoidal stenoses is numerically investigated using the DeKee‐Turcotte‐Papanastasiou model. The results reveal asymmetric velocity fields, elevated wall shear stress, significant pressure drops, and shear‐dependent thermal effects, highlighting the critical hemodynamic risks associated with eccentric ...
Azad Hussain, Huma Naz
wiley   +1 more source

Analytical and Numerical Soliton Solutions of the Shynaray II‐A Equation Using the G′G,1G$$ \left(\frac{G^{\prime }}{G},\frac{1}{G}\right) $$‐Expansion Method and Regularization‐Based Neural Networks

Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9814-9831, June 2026.
ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq, H. W. A. Riaz, Sadique Rehman, M. Mamun Miah, Wen Xiu Ma   +4 more
wiley   +1 more source

Investigation of Reaction Kinetics of the Selective Hydrogenation of a Terminal Alkyne Under Industrially Relevant Conditions With Benchtop NMR Spectroscopy

Magnetic Resonance in Chemistry, Volume 64, Issue 6, Page 539-554, June 2026.
The combination of 1H benchtop NMR and a quantum‐mechanical Bayesian qNMR method enables rapid, quantitative monitoring of heterogeneous catalyzed hydrogenations under industrially relevant conditions, including elevated temperature, pressure, and undiluted feeds.
Patrick Sterner, Mery Hach, Regina Berg, Christoph Stock, Daniel Holland, Erik von Harbou   +5 more
wiley   +1 more source

Asymptotic Analysis of Transcendental Solutions of Nonlinear Systems

Asymptotic analysis is central to mathematical physics and applied mathematics, offering insight into the behaviour of complex systems in limiting regimes.
Holroyd, Joshua
core  

An Augmented Lagrangian Preconditioner for Navier–Stokes Equations With Runge–Kutta in Time

Numerical Linear Algebra with Applications, Volume 33, Issue 3, June 2026.
ABSTRACT We consider an implicit Runge–Kutta method for the numerical time integration of the nonstationary incompressible Navier–Stokes equations. This yields a sequence of nonlinear problems to be solved for the stages of the Runge–Kutta method. The resulting nonlinear system of differential equations is discretized using a finite element method.
Santolo Leveque, Yunhui He, Maxim Olshanskii   +2 more
wiley   +1 more source

A Comparative Study of Context‐Aware Modeling Approaches for Specific Heat Load Profiles for Residential Consumers in District Heating Simulations

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT Accurate, time‐resolved heat load profiles are essential for realistic district heating simulations, enabling optimized network operation and long‐term transformation planning. In this work, we systematically evaluate modeling approaches for generating such profiles, comparing data‐driven methods (e.g., regression and machine learning) with ...
Johanna Heidrich, Nicolas Krummenauer, Jan Mohring   +2 more
wiley   +1 more source

CFD‐Based and Control‐Oriented Modeling of a Counterflow Heat Exchanger With Utilization of Parameter Identification

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT Counterflow heat exchangers (CHXs) thermally couple consumers and producers to a district heating network (DHN). Fluctuating loads and control actions naturally lead to unsteady operation conditions of the network and its components, posing a challenge for DHN models and CHX parameterizations based on Nusselt correlations that assume steady ...
Marten Klein, Chao Tang, Max Rose, Jaßper Weichmann, Heiko Schmidt, Hannes Gernandt   +5 more
wiley   +1 more source

Calcium Buffering in Astrocytes and Its Relevance for Experimental Data Interpretation and Computational Modeling

Journal of Neurochemistry, Volume 170, Issue 6, June 2026.
Components and properties of Ca2+ buffers in astrocytes, which should be considered for data interpretation and in computational modeling of astrocyte Ca2+ activity. ABSTRACT Astrocytic Ca2+ signaling is essential for maintaining physiological brain function, including the modulation of synaptic transmission, neurovascular coupling, and ion homeostasis.
Kerstin Lenk, Andre Zeug, Franziska E. Müller   +2 more
wiley   +1 more source