Results 51 to 60 of about 2,192 (177)

Spectral continuation study of the temporally periodic solitons of the damped-driven nonlinear Schrödinger equations [PDF]

, 2012
Includes abstract.Includes bibliographical references.In this thesis we develop and employ a spectral continuation algorithm, implemented in AUTO, to study the temporally periodic spatially localised soliton solutions of the driven, damped nonlinear ...
Lee-Thorpe, James
core  

Nordgren PINNs to VQE: Advancing Hydraulic Fracturing Simulations in Shale Reservoirs

International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT This study advances hydraulic fracturing simulations in shale reservoirs using two computational paradigms, Physics‐Informed Neural Networks (PINNs) and the Variational Quantum Eigensolver (VQE). PINNs were employed to solve Nordgren's equation, which governs fracture width evolution, by embedding physical laws into the neural network ...
Dennis Delali Kwesi Wayo, Sonny Irawan, Mohd Zulkifli Bin Mohamad Noor, Mudasar Zafar, Shynar Juziyeva, Camila Martins Saporetti, Leonardo Goliatt, Randy Hazlett   +7 more
wiley   +1 more source

Stability of dual discretization methods for partial differential equations [PDF]

, 2011
textThis thesis studies the approximation of solutions to partial differential equations (PDEs) over domains discretized by the dual of a simplicial mesh.
Gillette, Andrew Kruse
core   +1 more source

Approximate Reachability for Feedback Linearizable Systems

Optimal Control Applications and Methods, EarlyView.
The backwards reachable set for a dynamical system is the set of states for which there exists a constraint admissible trajectory that reaches a given terminal set. Conventional grid‐based approaches for computing these sets are intractable for many applications.
Vincent Liu, Chris Manzie, Peter M. Dower   +2 more
wiley   +1 more source

Feedback Linearisation with State Constraints

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Feedback Linearisation (FBL) is a widely used technique that applies feedback laws to transform input‐affine nonlinear control systems into linear control systems, allowing for the use of linear controller design methods such as pole placement.
Songlin Jin, Yuanbo Nie, Morgan Jones
wiley   +1 more source

Responsive nitric oxide‐releasing antibacterial materials for biofilm‐associated infections: Mechanisms, design strategies, and applications

Responsive Materials, EarlyView.
This review summarizes the recent progress in responsive NO‐releasing materials and their applications in biofilm‐associated infectious diseases. The design principles and response mechanisms are given to provide inspiration toward the future development of multi‐responsive NO‐releasing materials.
Wenyue Sun, Meiqi Li, Di Nan, Jiaqi Zhao, Yu Chen, Yao Gao, Shichen Zhang, Kirsten L. Van Landuyt, Manlin Qi   +8 more
wiley   +1 more source

High-order unconditionally stable FC-AD solvers for general smooth domains II. Elliptic, parabolic and hyperbolic PDEs; theoretical considerations [PDF]

, 2010
A new PDE solver was introduced recently, in Part I of this two-paper sequence, on the basis of two main concepts: the well-known Alternating Direction Implicit (ADI) approach, on one hand, and a certain “Fourier Continuation” (FC) method for the ...
Lyon, Mark, Bruno, Oscar P.
core  

Treatment Patterns and Pathways of Systemic Drug Therapy in Patients With Plaque, Erythrodermic, and Generalized Pustular Psoriasis: A Retrospective Cohort Study in Japan

The Journal of Dermatology, EarlyView.
ABSTRACT Systemic psoriasis treatment options have rapidly expanded in Japan, including the approval of tyrosine kinase 2 and interleukin‐36 receptor inhibitors in 2022. However, contemporary real‐world treatment patterns across plaque, erythrodermic, and generalized pustular psoriasis remain incompletely characterized.
Yayoi Tada, Yoshiko Maeda, Miyuki Hasegawa, Motonobu Sakaguchi, Takamasa Hashimoto, Teruko Narusawa, Nobuyoshi Takabayashi, Tomoko Takahashi, Taisuke Kondo, Shingo Kuroda   +9 more
wiley   +1 more source

Stability and regularity in nonlinear partial differential equations [PDF]

This thesis is concerned with the stabilizing and regularizing effects caused by the dissipation of entropy in two quite different contexts: (1) the kinetic theory of collisional plasmas and (2) inviscid, compressible fluid mechanics.
Golding, William Marcus
core   +2 more sources

Integrating infection intensity and aggregation into the dynamics of pathogens with within‐host replication

Journal of Animal Ecology, EarlyView.
We bridge micro‐ and macroparasite theory with a model tracking pathogen load heterogeneity. By incorporating load‐dependent mortality and within‐host pathogen growth, we show how pathogen load aggregation alters disease prevalence, host suppression effects, and virulence evolution, providing insights for managing complex infectious disease like ...
Ruijiao Sun, Jason Cosens Walsman, Mark Wilber, Cheryl J. Briggs   +3 more
wiley   +1 more source