Results 111 to 120 of about 938,411 (197)

Microscale FFT‐based modeling of artificial porous microstructures and analysis of macroscopic models under varying loading scenarios

GAMM-Mitteilungen, Volume 49, Issue 3, September 2026.
Abstract This article investigates the modeling of metallic isotropic porous materials by evaluating and comparing macroscopic and microstructure‐resolved simulation approaches. At the macroscopic level, different variants of the Deshpande‐Fleck (DF) model are implemented to describe the elastoplastic behavior of metallic porous materials.
Julian Dahler, Sarah Staub, Lisa Scheunemann   +2 more
wiley   +1 more source

Symbolic polynomial interpolation using Mathematica

, 2004
This paper discusses teaching polynomial interpolation with the help of Mathematica. The symbolic power of Mathematica is utilized to prove a theorem for the error term in Lagrange interpolating formula.
Yazıcı, Adnan, Altas, I, Ergenc, T
core  

A Geometrically Regularized Gradient‐Damage Model With Orthogonality‐Based Energy Split for Dynamic Anisotropic Compression‐Shear Fracture

International Journal for Numerical and Analytical Methods in Geomechanics, Volume 50, Issue 13, Page 5185-5212, September 2026.
ABSTRACT This study proposes a novel geometrically regularized gradient‐damage model for simulating dynamic mixed‐mode fracture in orthotropic materials with tension–compression asymmetry. In this model, a thermodynamic framework is formulated by incorporating damage dissipation into internal energy evolution, from which the constitutive relation and ...
Hui Li, Shanyong Wang
wiley   +1 more source

Rothe Time Discretization and Weak Solutions for a Cutoff Westervelt System

Numerical Methods for Partial Differential Equations, Volume 42, Issue 5, September 2026.
ABSTRACTWe study a fully implicit Rothe time discretization for a cutoff first‐order formulation of the Westervelt equation. The key ingredients are the enthalpy variable and the primitive mobility variable, which turn each nonlinear time step into a uniformly monotone elliptic problem and avoid higher‐order energy estimates and inverse inequalities ...
Marvin Fritz
wiley   +1 more source

Newton's Interpolation Formulas

Journal of the Institute of Actuaries, 1918
openaire   +2 more sources

Learning Differential Equations From Numerically Integrated Artificial Neural Networks

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 3, September 2026.
ABSTRACT For numerical investigation of dynamical systems, the formulation of the corresponding ordinary differential equations (ODE) based on physical principles is usually the first and most crucial step. However, if the underlying physics is not fully understood or the required expert knowledge for modeling is missing, setting up these differential ...
Timo Bielitz, Dieter Bestle
wiley   +1 more source

Computer Modeling of the Ferrite‐To‐Austenite Transformation in a Super‐Duplex Stainless Steel and the Important Role of Trans‐Interface Diffusion

steel research international, Volume 97, Issue 9, Page 4483-4493, September 2026.
An accurate moving boundary model for volume diffusion containing boundary conditions from trans‐interface diffusion (TID) simulates the austenite growth during cooling. TID of Cr, Mo, N and Ni enhance growth kinetics. Without TID, compositions of the interface region change, decreasing the driving force for growth and finally causing numerical ...
A. Salwén, T. Müller, S. Nouhi, J. Y. Jonsson   +3 more
wiley   +1 more source

A review of numerical methods for flow and transport modeling in the vadose zone

Vadose Zone Journal, Volume 25, Issue 5, September/October 2026.
Abstract Accurate modeling of subsurface flow and transport processes in the vadose zone, governed by the Richards equation and advection‐dispersion equation, respectively, poses major numerical challenges due to the strong nonlinearity of the governing partial differential equations, spatial heterogeneity and anisotropy of the media parameters, and ...
Shruti Jain, Saumava Dey, B. R. Chahar
wiley   +1 more source

Research on Dynamic Characteristics of Electromechanical Coupling for the Ultra‐Compact Wind Turbines

Wind Energy, Volume 29, Issue 9, September 2026.
ABSTRACT With the development of ultra‐compact wind turbines, the electromechanical coupling dynamic characteristics of integrated gearbox‐generator systems in their drive trains have attracted increasing attention. To reveal these characteristics, an electromechanical coupling dynamic model is established using the lumped parameter method and the ...
Yin Runsheng, Zhang Xiaodong, Zhao Qin, Cui Yufan   +3 more
wiley   +1 more source

Three‐Dimensional Simulation of Tile Drainage System for Farmland: Quantifying Tile Drainage Impacts on Hydrological Cycle

Water Resources Research, Volume 62, Issue 9, September 2026.
Abstract Tile drainage is widely adopted in the U.S. Midwest to manage excess soil water and sustain agricultural productivity, yet its impact on key water budget components—particularly evapotranspiration (ET)—remains insufficiently understood under varying drainage designs and climate conditions.
Jiawei Fan, Kaiyu Guan, Bin Peng, Mengqi Jia, Zewei Ma, Xingyuan Chen, Glenn Hammond, Matthew Helmers, Ming Pan   +8 more
wiley   +1 more source