Results 101 to 110 of about 455,820 (253)

Numerical solution of singularly perturbed parabolic differential difference equations

Қарағанды университетінің хабаршысы. Математика сериясы
This study presents a computational method for the singularly perturbed parabolic differential difference equations with small negative shifts in convection and reaction terms. To handle the small negative shifts, the Taylor series expansion is applied.
D.B. Huka, W.G. Melesse, F.W. Gelu
doaj   +1 more source

Hm Convergence of the Second-Grade Fluid Equations to Euler Equations in ℝd

Discrete Dynamics in Nature and Society, 2020
In this paper, we investigate an approximation of the Euler equation by the second-grade fluid equations in ℝdd=2,3. The convergence in Hm of a sequence of solutions to the second-grade fluid equations in a uniform interval is proven as both the ...
Hui Zhou
doaj   +1 more source

Uniform Convergence of the Newton Method for Aubin Continuous Maps [PDF]

, 1996
* This work was supported by National Science Foundation grant DMS 9404431.In this paper we prove that the Newton method applied to the generalized equation y ∈ f(x) + F(x) with a C^1 function f and a set-valued map F acting in Banach spaces, is locally ...
Dontchev, Asen
core  

Microporous Microgel Assemblies Facilitating the Recruitment and Osteogenic Differentiation of Progenitor Cells for Bone Regeneration

Advanced Functional Materials, EarlyView.
There is a significant need for biomaterials with well‐defined stability and bioactivity to support tissue regeneration. In this study, we developed a tunable microgel platform that enables the decoupling of stiffness from porosity, thereby promoting bone regeneration.
Silvia Pravato, Haishuo Guan, Bianca M. Carrara, Mira Jacobs, Matteo Monticelli, Lukas Moser, Thomas Moragues, Andrew J. deMello, Tomaso Zambelli, Martin Ehrbar   +9 more
wiley   +1 more source

Error analysis of trigonometric integrators for semilinear wave equations [PDF]

, 2015
An error analysis of trigonometric integrators (or exponential integrators) applied to spatial semi-discretizations of semilinear wave equations with periodic boundary conditions in one space dimension is given.
Gauckler, Ludwig
core  

Expanding Chemical Space of Nucleic Acid Nanoparticles for Tunable Antiviral‐Like Immunomodulatory Responses and Potent Adjuvant Activity

Advanced Functional Materials, EarlyView.
We introduce a nucleic acid nanoparticle (NANP) platform designed to be rrecognized by the human innate immune system in a regulated manner. By changing chemical composition while maintaining constant architectural parameters, we identify key determinants of immunorecognition enabling the rational design of NANPs with tunable immune activation profiles
Martin Panigaj, Hannah S. Newton, Jian Wang, Laxmi Pandey, Yelixza I. Avilla, Phong Nguyen, Morgan Chandler, Justin Halman, Yasmine Radwan, Stephanie Smith, Elijah Edmondson, Simone Difilippantonio, Chelsea Sanders, Bao Tran, Yongmei Zhao, Shaojun Xie, Edward Cedrone, Barry W. Neun, Meni Wanunu, Nikolay V. Dokholyan, Marina A. Dobrovolskaia, Kirill A. Afonin   +21 more
wiley   +1 more source

Peptide Sequencing With Single Acid Resolution Using a Sub‐Nanometer Diameter Pore

Advanced Functional Materials, EarlyView.
To sequence a single molecule of Aβ1−42–sodium dodecyl sulfate (SDS), the aggregate is forced through a sub‐nanopore 0.4 nm in diameter spanning a 4.0 nm thick membrane. The figure is a visual molecular dynamics (VMD) snapshot depicting the translocation of Aβ1−42–SDS through the pore; only the peptide, the SDS, the Na+ (yellow/green) and Cl− (cyan ...
Apurba Paul, Archith Rayabharam, Lisa Almonte, Eveline Rigo, Joshy Joseph, Ashutosh Kumar, Zhuxin Dong, Narayana Aluru, Gregory Timp   +8 more
wiley   +1 more source

Gamma-convergence of 2D Ginzburg-Landau functionals with vortex concentration along curves [PDF]

, 2009
We study the variational convergence of a family of two-dimensional Ginzburg-Landau functionals arising in the study of superfluidity or thin-film superconductivity, as the Ginzburg-Landau parameter epsilon tends to 0. In this regime and for large enough
Alama, Stan, Bronsard, Lia, Millot, Vincent   +2 more
core   +4 more sources

Exploiting Two‐Photon Lithography, Deposition, and Processing to Realize Complex 3D Magnetic Nanostructures

Advanced Functional Materials, EarlyView.
Two‐photon lithography (TPL) enables 3D magnetic nanostructures with unmatched freedom in geometry and material choice. Advances in voxel control, deposition, and functionalization open pathways to artificial spin ices, racetracks, microrobots, and a number of additional technological applications.
Joseph Askey, Arjen van den Berg, Sandra Ruiz Gomez, Claire Donnelly, Dirk Grundler, Sam Ladak   +5 more
wiley   +1 more source

Stabilizing Cationic Palladium Single‐Atom Sites on Heteroatom‐Doped Carbon for Selective Hydrogen Peroxide Electrosynthesis

Advanced Functional Materials, EarlyView.
In this research, it is demonstrated that dual nitrogen and sulfur doping in hollow carbon spheres creates a tunable coordination environment that stabilizes cationic Pd single atoms as robust organometallic complexes, enabling high selectivity and stability for electrochemical hydrogen peroxide production under harsh acidic and peroxide‐rich ...
Guilherme V. Fortunato, Alexander Gunnarson, Hannaneh Hosseini, Xiangyu You, Pallabi Bhuyan, Ji Sik Choi, Hyo Sang Jeon, Xingshen Zhao, Julio C. Lourenço, Sumin Lim, Huize Wang, Ana Guilherme Buzanich, Martin Radtke, Paul Paciok, Marcos R.V. Lanza, Ferdi Schüth, Marc Ledendecker   +16 more
wiley   +1 more source