Results 71 to 80 of about 28,522,762 (408)

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

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

A Collocation Numerical Method for Highly Oscillatory Algebraic Singular Volterra Integral Equations

open access: yesFractal and Fractional
The highly oscillatory algebraic singular Volterra integral equations cannot be solved directly. A collocation numerical method is proposed to overcome the difficulty created by the highly oscillatory algebraic singular kernel.
SAIRA, Wen-Xiu Ma, Guidong Liu
doaj   +1 more source

Numerical solution of second-order nonlinear partial differential equations originating from physical phenomena using Hermite based block methods

open access: yesResults in Physics, 2023
A Hermite based block method (HBBM) is proposed for the numerical solution of second-order non-linear elliptic partial differential equations (PDEs). The development of the method was accomplished through the methodology of interpolation and collocation ...
Emmanuel Oluseye Adeyefa   +2 more
doaj  

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

A Collocation Method for Mixed Volterra–Fredholm Integral Equations of the Hammerstein Type

open access: yesMathematics, 2022
This paper presents a collocation method for the approximate solution of two-dimensional mixed Volterra–Fredholm integral equations of the Hammerstein type.
Sanda Micula
doaj   +1 more source

Stabilized Isogeometric Collocation Methods For Scalar Transport and Incompressible Fluid Flow [PDF]

open access: yesarXiv, 2023
In this work we adapt classical residual-based stabilization techniques to the spline collocation setting. Inspired by the Streamline-Upwind-Petrov-Galerkin and Pressure-Stabilizing-Petrov-Galerkin methods, our stabilized collocation schemes address spurious oscillations that can arise from advection and pressure instabilities.
arxiv  

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

Studies on the Method of Orthogonal Collocation VI: A Moving Collocation Method for the Solution of the Transient Heat Conduction Problem

open access: yesJournal of King Saud University: Engineering Sciences, 2005
A new moving collocation method is introduced for solving the problem of time-dependent heat conduction with source term in one dimension. The method is based on dividing the solution domain into active and inactive zones. The numerical results show that
M.A. Soliman, K.I. Al-Humaizi
doaj  

An hp-version Legendre-Jacobi spectral collocation method for Volterra integro-differential equations with smooth and weakly singular kernels

open access: yesMathematics of Computation, 2017
. In this paper, we present an hp-version Legendre-Jacobi spectral collocation method for Volterra integro-differential equations with smooth and weakly singular kernels.
Zhong-qing Wang, Yu-ling Guo, Lijun Yi
semanticscholar   +1 more source

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