Results 61 to 70 of about 27,855,056 (325)

Collocation Methods for Optimization in a Modelica Environment [PDF]

open access: yesLinköping Electronic Conference Proceedings, 2012
The solution of generic dynamic optimization problems described by Modelica, and its extension Optimica, code using direct collocation methods is discussed. We start by providing a description of dynamic optimization problems in general and how to solve them by means of direct collocation.
Magnusson, Fredrik, Åkesson, Johan
openaire   +4 more sources

Approximations to linear Klein–Gordon Equations using Haar wavelet

open access: yesAin Shams Engineering Journal, 2021
In this research article, two Haar wavelet collocation methods (HWCMs) (namely one dimensional HWCM and two dimensional HWCM) are adapted to approximate linear homogeneous and linear non-homogeneous Klein–Gordon equations.
Sana Ikram   +2 more
doaj  

New recursive approximations for variable-order fractional operators with applications

open access: yesMathematical Modelling and Analysis, 2018
To broaden the range of applicability of variable-order fractional differential models, reliable numerical approaches are needed to solve the model equation.In this paper, we develop Laguerre spectral collocation methods for solving variable-order ...
Mahmoud A. Zaky   +3 more
doaj   +1 more source

Engineering Cellular Self‐Adhesions Inside 3D Printed Micro‐Arches to Enhance Cell:Biomaterial Attachment

open access: yesAdvanced Materials, EarlyView.
Surprisingly, a cell can bind to itself to make a self‐adhesion, which engineered here to improve how cells attach to biomaterials. Nanoprinting are used to make 3D structures smaller than cells–called Self‐Adhesion‐Tunnels (SATs)–around which cells can wrap and bind to themselves.
Anamika Singh   +4 more
wiley   +1 more source

Space-Time Spectral Collocation Algorithm for the Variable-Order Galilei Invariant Advection Diffusion Equations with a Nonlinear Source Term

open access: yesMathematical Modelling and Analysis, 2017
This paper presents a space-time spectral collocation technique for solving the variable-order Galilei invariant advection diffusion equation with a nonlinear source term (VO-NGIADE).
Mohamed A. Abd-Elkawy   +1 more
doaj   +1 more source

Laser‐Induced Structuring of Biocompatible Polymers for the Controlled Orientation of Multinucleated Myotubes

open access: yesAdvanced Materials Interfaces, EarlyView.
Laser structuring of biocompatible polymers creates precise surface patterns that influence cell organization. By imaging, contact angle measurements, and chemical analysis, this study demonstrates the ability of laser‐induced micro‐structured surfaces to guide muscle cell alignment. These findings support laser patterning of biopolymers as a promising
Clarissa Murru   +7 more
wiley   +1 more source

Implantable Microarray Patch: Engineering at the Nano and Macro Scale for Sustained Therapeutic Release via Synthetic Biodegradable Polymers

open access: yesAdvanced Materials Technologies, Volume 10, Issue 6, March 18, 2025.
This review focuses on the application of synthetic biodegradable microarray patches (MAPs) in sustained drug delivery. Compared to conventional MAPs which release drugs into the skin in an immediate manner, these implantable MAPs release drugs into skin microcirculation gradually as the biodegradable polymers degrade, thus offering sustained release ...
Li Zhao   +6 more
wiley   +1 more source

LEBESGUE CONSTANTS ARISING IN A CLASS OF COLLOCATION METHODS [PDF]

open access: yes, 2015
Estimates are obtained for the Lebesgue constants associated with the Gauss quadra- ture points on (i1, +1) augmented by the point i1 and with the Radau quadrature points on either (i1, +1) or (i1, +1). It is shown that the Lebesgue constants are O( p N),
W. Hager, Hongyan Hou, Anil V. Rao
semanticscholar   +1 more source

Numerical and Experimental Study of High‐Speed Laser Cutting of Copper Current Collectors: Process Optimization for Quality Assessment

open access: yesAdvanced Materials Technologies, EarlyView.
This study employs a CFD model to simulate laser cutting of copper current collectors used for Li‐Ion battery production. This model predicts cut edge quality by assessing the influence of power, scanner speed, and foil thickness. Defects are classified and an optimal working area is found.
Caterina Angeloni   +3 more
wiley   +1 more source

Convergence of a collocation scheme for a retarded potential integral equation [PDF]

open access: yes, 2003
Time domain boundary integral formulations of transient scattering problems involve retarded potential integral equations (RPIEs). Solving such equations numerically is both complicated and computationally intensive, and numerical methods often prove to ...
Duncan, D.B.
core  

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