Results 41 to 50 of about 159,459 (289)

Error bound for radial basis interpolation in terms of a growth function [PDF]

, 2007
We suggest an improvement of Wu-Schaback local error bound for radial basis interpolation by using a polynomial growth function. The new bound is valid without any assumptions about the density of the interpolation centers.
Davydov, Oleg
core  

Bone‐Derived dECM Hydrogels Support Tunable Microenvironments for In Vitro Osteogenic Differentiation

Advanced Healthcare Materials, EarlyView.
A tunable methacrylated decellularized bone matrix hydrogel (dECM‐MA) is developed to support 3D culture of human osteoblasts. The hydrogel preserves bone‐specific ECM cues and allows precise control over mechanical properties. This system provides a customizable platform for studying osteogenic differentiation and modeling bone tissue environments for
Minne Dekker, Luke Hipwood, Akhilandeshwari Ravichandran, Dietmar W. Hutmacher, Christoph Meinert, Jacqui McGovern   +5 more
wiley   +1 more source

Polynomial interpolation problem for skew polynomials [PDF]

Applicable Analysis and Discrete Mathematics, 2007
Let R = K[x;δ] be a skew polynomial ring over a division ring K. We introduce the notion of derivatives of skew polynomial at scalars. An analogous definition of derivatives of commutative polynomials from K[x] as a function of K[x] → K[x] is not possible in a non-commutative case.
openaire   +4 more sources

Computational Modeling of Reticular Materials: The Past, the Present, and the Future

Advanced Materials, EarlyView.
Reticular materials are advanced materials with applications in emerging technologies. A thorough understanding of material properties at operating conditions is critical to accelerate the deployment at an industrial scale. Herein, the status of computational modeling of reticular materials is reviewed, supplemented with topical examples highlighting ...
Wim Temmerman, Ruben Goeminne, Kuber Singh Rawat, Veronique Van Speybroeck   +3 more
wiley   +1 more source

Interpolation by polynomials with symmetries

Linear Algebra and its Applications, 2014
Abstract We here specialize the standard matrix-valued polynomial interpolation to the case where the interpolating polynomials admit various symmetries. The introduced approach allows for non-convex families of interpolating polynomials. If this family happens to be convex, all minimal degree interpolating polynomials are parameterized.
Alpay, Daniel, Lewkowicz, Izchak
openaire   +3 more sources

Efficient cosmological parameter sampling using sparse grids

, 2010
We present a novel method to significantly speed up cosmological parameter sampling. The method relies on constructing an interpolation of the CMB-log-likelihood based on sparse grids, which is used as a shortcut for the likelihood-evaluation.
Auld, Auld, Bellman, Bungartz, Bungartz, Chu, Coles, D. Pflüger, Doran, Doran, Ganapathysubramanian, Garcke, Garcke, Garcke, H.-J. Bungartz, Habib, Holtz, Hu, Jimenez, Kaplinghat, Klimke, Kosowsky, Lewis, M. Frommert, M. Reinecke, Page, Reisinger, Sandvik, Seljak, T. A. Enßlin, T. Riller, Tauber, Temlyakov, Verde, Von Petersdorff, Widmer, Zenger   +36 more
core   +1 more source

Toward Zero‐Excess Alkali Metal Batteries: Bridging Experimental and Computational Insights

Advanced Materials, EarlyView.
This review explores zero‐excess alkali metal batteries, highlighting anode–electrolyte interfaces, metal nucleation, dendrite growth, and SEI formation while comparing Li, Na, and K metals. It critically examines electrolyte and separator roles, emphasizing substrate design, electrolyte modifications, interfacial engineering, and solid‐state ...
Pan He, Neubi Francisco Xavier Jr, Matthias Johannes Golomb, Yupei Han, Yuheng Du, Qiong Cai, Yang Xu   +6 more
wiley   +1 more source

On deep holes of standard Reed-Solomon codes

, 2012
Determining deep holes is an important open problem in decoding Reed-Solomon codes. It is well known that the received word is trivially a deep hole if the degree of its Lagrange interpolation polynomial equals the dimension of the Reed-Solomon code. For
Hong, Shaofang, Wu, Rongjun
core   +1 more source

Colossal Cryogenic Electro‐Optic Response Through Metastability in Strained BaTiO3 Thin Films

Advanced Materials, EarlyView.
Utilizing the thermodynamic theory of optical properties, a colossal cryogenic electro‐optic response in BaTiO3 thin films is designed and demonstrated by stabilizing a low symmetry metastable monoclinic phase via epitaxial strain tuning with an electro‐optic response reaching ≈2516 pm V−1 at 5 K. This approach represents a new paradigm for engineering
Albert Suceava, Sankalpa Hazra, Aiden Ross, Ian Reed Philippi, Dylan Sotir, Brynn Brower, Lei Ding, Yingxin Zhu, Zhiyu Zhang, Himirkanti Sarkar, Saugata Sarker, Yang Yang, Suchismita Sarker, Vladimir A. Stoica, Darrell G. Schlom, Long‐Qing Chen, Venkatraman Gopalan   +16 more
wiley   +1 more source

On Polynomial and Polynomial Matrix Interpolation [PDF]

, 2002
The classical algorithms for computations with polynomials and polynomial matrices use elementary operations with their coefficients. The relative accuracy of such algorithms is relatively small and for polynomials of higher order and polynomial matrices of higher dimension the executing time grows very quickly.
Petr Husek, Renata Pytelková
openaire   +2 more sources