Results 61 to 70 of about 255,836 (194)

A class of G3 high precision eighth-degree Hermite interpolation splines with multiple parameters(一种多参数G3高精度的八次Hermite插值样条)

Zhejiang Daxue xuebao. Lixue ban
To address the issues of high continuity and high precision in engineering calculations, this paper introduces an eighth-degree Hermite-type interpolation spline featuring high-order continuity, high precision, and multiple parameters.
谢进(XIE Jin), 尹行(YIN Hang)
doaj   +1 more source

Analysis of the influence of interpolation algorithm on the numerical simulation results of transmission boundary

地震科学进展
The distance traveled by contour wave with artificial wave velocity in a step-time is often inconsistent with the mesh size. Therefore, when the transmission boundary formula is applied, the calculation nodes of transmission boundary are usually ...
Xueliang Duan, Zhenghua Zhou, Zhu Bian, Yi Han, Ling Zhao, Zheng Li, Chengliang Liao, Jiacong He, Wei Liu   +8 more
doaj   +1 more source

Hybrid modeling for optimizing cell cultivation in mAb production using a small‐scale automated experimental platform

AIChE Journal, Volume 72, Issue 5, May 2026.
Abstract This work presents the optimization of cell cultivation for monoclonal antibody (mAb) production. We developed a hybrid model describing the effects of multiple process variables on antibody productivity and impurity generation. An automated platform with 12 × 250 mL bioreactors was set up.
Kosuke Nemoto, Yuki Yoshiyama, Mizuki Morisasa, Junshin Iwabuchi, Yusuke Hayashi, Sara Badr, Hirokazu Sugiyama   +6 more
wiley   +1 more source

Interpolation mit C2-Supersplines vom Grad > [PDF]

, 2003
Wir entwickeln eine Methode zur Interpolation mit C2-Supersplines vom Grad q ≥ 7 auf beliebigen Triangulierungen Δ. Für q = 7 ist dabei in speziellen, sehr seltenen Konstellationen von Kanten eine geringfügige Modifikation von Δ notwendig.
Hecklin, Gero
core  

Nodal bases for the serendipity family of finite elements

, 2016
Using the notion of multivariate lower set interpolation, we construct nodal basis functions for the serendipity family of finite elements, of any order and any dimension.
Floater, Michael S., Gillette, Andrew
core   +1 more source

Mechanical Models for Hermite Interpolation on the Unit Circle

Mathematics, 2021
In the present paper, we delve into the study of nodal systems on the unit circle that meet certain separation properties. Our aim was to study the Hermite interpolation process on the unit circle by using these nodal arrays.
Elías Berriochoa, Alicia Cachafeiro, Héctor García Rábade, José Manuel García-Amor   +3 more
doaj   +1 more source

Impact of Uncertain Parameters on Navier–Stokes Equations With Heat Transfer via Polynomial Chaos Expansion

International Journal for Numerical Methods in Fluids, Volume 98, Issue 5, Page 557-577, May 2026.
This study investigates the impact of uncertain parameters on Navier–Stokes equations coupled with heat transfer using the Intrusive Polynomial Chaos Method (IPCM). Sensitivity equations are formulated for key input parameters, such as viscosity and thermal diffusivity, and solved numerically using the Finite Element‐Volume method.
N. Nouaime, B. Després, M. A. Puscas, C. Fiorini   +3 more
wiley   +1 more source

Interpolation mit C1-Supersplines auf Klassen von Tetraederzerlegungen [PDF]

, 2003
Wir entwickeln eine allgemeine Methode zur Konstruktion von Tetraederzerlegungen Δ, welche für die Interpolation mit trivariaten C1 Supersplines vom Grad ≥ 6 geeignet sind.
Hecklin, Gero
core  

Gonchar-Stahl's $\rho^2$-theorem and associated directions in the theory of rational approximation of analytic functions

, 2015
Gonchar-Stahl's $\rho^2$-theorem characterizes the rate of convergence of best uniform (Chebyshev) rational approximations (with free poles) for one basic class of analytic functions.
Rakhmanov, E. A.
core   +1 more source

Hermite interpolation on algebraic curves in ℂ2

Indagationes mathematicae, 2019
We study Hermite interpolation on irreducible algebraic curves in ℂ 2 . We prove that the Hermite interpolation polynomials are well-defined in neighborhoods of Taylorian points and continuous with respect to interpolation points.
V. M. Phung, V. M. Nguyen, Thi Lan Huong Phan   +2 more
semanticscholar   +1 more source