Results 71 to 80 of about 3,893 (298)

Numerical Solution of Nonlinear Advection Equation Using Reproducing Kernel Method

Journal of Mathematical Sciences and Modelling
In this study, an iterative approximation is proposed by using the reproducing kernel method (RKM) for the nonlinear advection equation. To apply the iterative RKM, specific reproducing kernel spaces are defined and their kernel functions are presented ...
Onur Saldır
doaj   +1 more source

Reproducing kernel method for a class of weakly singular Fredholm integral equations

Journal of Taibah University for Science, 2018
Numerical methods for solving integral equations have been the focus of much research, including reproducing kernel methods. We present a new algorithm to solve weakly singular Fredholm integral equations (WSFIEs). The advantage of this method is that it
Azizallah Alvandi, Mahmoud Paripour
doaj   +1 more source

Uniform Function Estimators in Reproducing Kernel Hilbert Spaces

, 2021
This paper addresses the problem of regression to reconstruct functions, which are observed with superimposed errors at random locations. We address the problem in reproducing kernel Hilbert spaces. It is demonstrated that the estimator, which is often derived by employing Gaussian random fields, converges in the mean norm of the reproducing kernel ...
Dommel, Paul, Pichler, Alois
openaire   +2 more sources

Shape‐Morphing Nanoengineered Hydrogel Ribbons as Hemostats

Advanced Functional Materials, EarlyView.
This study introduces a self‐assembling, shape‐morphing nanoengineered hydrogel ribbon system that rapidly forms porous aggregates in situ for efficient hemostasis in trauma and surgical applications. Abstract Rapid and effective hemorrhage control remains a major challenge in trauma and surgical care, particularly for complex or noncompressible wounds.
Ryan Davis Jr, Saptarshi Biswas, Jacob Aragon, Asaf Dana, Jasmine Sureka, Vaaridhi Ramanuja, Jeevika Thazhaiselvam, Sarah E. Miller, Taylor H. Ware, Akhilesh K. Gaharwar   +9 more
wiley   +1 more source

Novel Functional Materials via 3D Printing by Vat Photopolymerization

Advanced Functional Materials, EarlyView.
This Perspective systematically analyzes strategies for incorporating functionalities into 3D‐printed materials via Vat Photopolymerization (VP). It explores the spectrum of achievable functionalities in recently reported novel materials—such as conductive, energy‐storing, biodegradable, stimuli‐responsive, self‐healing, shape‐memory, biomaterials, and
Sergey S. Nechausov, Patrick Fesser, Boris A. Bulgakov, Ulrich S. Schubert   +3 more
wiley   +1 more source

Decellularized Extracellular Matrix Scaffolds to Engineer the Dormant Landscape of Microscopic Colorectal Cancer Liver Metastasis

Advanced Healthcare Materials, EarlyView.
Decellularized liver extracellular matrix scaffolds provide a platform to study dormant liver‐metastatic colorectal cancer. They induce reversible dormancy, in combination with nutrient depletion and low dose chemotherapy, through cell cycle arrest and chemotherapy resistance.
Sabrina N. VandenHeuvel, Lucia L. Nash, Abigail J. Clevenger, Claudia A. Collier, Oscar R. Benavides, Sanjana Roy, Brinlee Goggans, Aelita Salikhova, Anvitha Tharakesh, Svasti Haricharan, Amber N. Stratman, Scott Kopetz, Alex J. Walsh, Shreya A. Raghavan   +13 more
wiley   +1 more source

Some Notes on Error Analysis for Kernel Based Regularized Interpolation

International Journal of Analysis and Applications, 2020
Kernel based regularized interpolation is one of the most important methods for approximating functions. The theory behind the kernel based regularized interpolation is the well-known Representer Theorem, which shows the form of approximation function in
Qing Zou
doaj  

Bioprinting Organs—Science or Fiction?—A Review From Students to Students

Advanced Healthcare Materials, EarlyView.
Bioprinting artificial organs has the potential to revolutionize the medical field. This is a comprehensive review of the bioprinting workflow delving into the latest advancements in bioinks, materials and bioprinting techniques, exploring the critical stages of tissue maturation and functionality.
Nicoletta Murenu, Camilla Mussoni, Mateo S. Andrade Mier, Paula Buettner, Nathaly Chicaiza‐Cabezas, Yi‐Yu Robin Dai, Jessica Faber, Maren Fiedler, Zan Lamberger, Xuen Jen Ng, Vanessa Moessler, Anna Rederer, Jonas Roeder, Sabrina Stecher, Katinka Theis, Jeanette Weigelt, Silvia Budday, Gregor Lang, Natascha Schaefer   +18 more
wiley   +1 more source

Optimal approximation in Hilbert spaces with reproducing kernel functions [PDF]

Mathematics of Computation, 1970
Characterisations of optimal linear estimation rules are given in terms of the reproducing kernel function of a suitable Hilbert space. The results are illustrated by means of three different, useful function spaces, showing, among other things, how Gaussian quadrature rules, and the Whittaker Cardinal Function, relate to optimal linear estimation ...
openaire   +2 more sources

Artificial Intelligence‐Assisted Workflow for Transmission Electron Microscopy: From Data Analysis Automation to Materials Knowledge Unveiling

Advanced Materials, EarlyView.
AI‐Assisted Workflow for (Scanning) Transmission Electron Microscopy: From Data Analysis Automation to Materials Knowledge Unveiling. Abstract (Scanning) transmission electron microscopy ((S)TEM) has significantly advanced materials science but faces challenges in correlating precise atomic structure information with the functional properties of ...
Marc Botifoll, Ivan Pinto‐Huguet, Enzo Rotunno, Thomas Galvani, Catalina Coll, Payam Habibzadeh Kavkani, Maria Chiara Spadaro, Yann‐Michel Niquet, Martin Børstad Eriksen, Sara Martí‐Sánchez, Georgios Katsaros, Giordano Scappucci, Peter Krogstrup, Giovanni Isella, Andreu Cabot, Gonzalo Merino, Pablo Ordejón, Stephan Roche, Vincenzo Grillo, Jordi Arbiol   +19 more
wiley   +1 more source