Results 101 to 110 of about 19,790 (213)

-Error Estimates of the Extrapolated Crank-Nicolson Discontinuous Galerkin Approximations for Nonlinear Sobolev Equations

Journal of Inequalities and Applications, 2010
We analyze discontinuous Galerkin methods with penalty terms, namely, symmetric interior penalty Galerkin methods, to solve nonlinear Sobolev equations.
Lee HyunYoung, Shin JunYong, Ohm MiRay
doaj  

On the Stability Barrier of Hermite Type Discretizations of Advection Equations

Numerical Methods for Partial Differential Equations, Volume 42, Issue 1, January 2026.
ABSTRACT We establish a stability barrier for a class of high‐order Hermite‐type discretization of 1D advection equations underlying the hybrid‐variable (HV) and active flux (AF) methods. These methods approximate both cell averages and nodal solutions and evolve them in time simultaneously.
Xianyi Zeng
wiley   +1 more source

An H1-Galerkin Space-Time Mixed Finite Element Method for Semilinear Convection–Diffusion–Reaction Equations [PDF]

, 2023
Xuehui Ren, Siriguleng He, Hong Li
openalex   +1 more source

Numerical Simulation of Three‐Dimensional Unsteady Extrudate Swell Through Annular Dies: Effects of Die Core Opening Position and Sag on Parison Formation

Polymer Engineering &Science, Volume 66, Issue 1, Page 105-121, January 2026.
Study on transient parison formation at various strokes during extrusion of Newtonian and viscoelastic fluids. In the presence of an offset between the mandrel and the bushing, Newtonian fluids exhibit a reduction in extrudate diameter, whereas viscoelastic fluids display diameter swelling only at flow rates exceeding a critical threshold.
Kalonji K. Kabanemi, Jean‐Philippe Marcotte, Florin Ilinca   +2 more
wiley   +1 more source

Efficiency analysis of continuous and discontinuous Galerkin finite element methods

AIMS Mathematics
We present a comparative analysis of the continuous Galerkin (CG) and discontinuous Galerkin (DG) finite element (FE) methods, focusing on their efficiency in solving advection–diffusion problems in the Summation By Parts–Simultaneous Approximation Term (
Hanifa Hanif, Jan Nordström, Arnaud. G. Malan   +2 more
doaj   +1 more source

Probing Viscoelasticity of Polymeric Coatings Using Nonlinear Dynamic Atomic Force Microscopy

Small Methods, Volume 10, Issue 2, 22 January 2026.
For soft materials it is essential to characterize both the elastic and viscous material properties. Using an atomic force microscope, the hardening nonlinearity induced by a tip‐sample contact and bifurcation points can be used to separately estimate the visco‐ and elastic parts of the tip‐sample interaction force.
Lara Vivian Fricke, Nick Wansink, Michel Rosso, Urs Staufer, Pierpaolo Belardinelli, Farbod Alijani   +5 more
wiley   +1 more source

100 years of GAMM: Motivation, history and achievements

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 1, January 2026.
Abstract The International Association of Applied Mathematics and Mechanics (Gesellschaft für Angewandte Mathematik und Mechanik, GAMM) was founded in 1923 with the goal to strengthen the field of scientific engineering by the foundation of an Engineering Association with strong scientific contacts to Applied Mathematics.
Wolfgang Ehlers
wiley   +1 more source

Calculation of dispersion characteristics of regular waveguide with arbitrary dielectric filling with spectral method

Физика волновых процессов и радиотехнические системы, 2013
By the means of spectral method the universal algorithm of calculation of dispersion characteristics of regular waveguide with arbitrary dielectric filling is presented. The method is based upon presenting of guiding structures fields as serial expansion
A.A. Titarenko
doaj  

Operator Inference for Physical and Generalized Surrogate Groundwater Modeling

Water Resources Research, Volume 62, Issue 1, January 2026.
Abstract Groundwater flow and solute transport models, governed by partial differential equations (PDEs), are computationally intensive, particularly in large‐scale. Traditional numerical models are prohibitively expensive, and existing surrogate models often fail under out‐of‐distribution (OOD) conditions, such as unseen initial conditions, boundary ...
Yongda Liu, Xi Chen, Zitao Wang, Jianzhi Dong   +3 more
wiley   +1 more source

Numerical Study of Fourth‐Order Volterra Partial Integrodifferential Equation With Weakly Singular Kernel via Subdivision Collocation Approach

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In the present article, an emerging subdivision‐based technique is developed for the numerical solution of linear Volterra partial integrodifferential equations (LVPIDEs) of order four with a weakly singular kernel. To approximate the spatial derivatives, the basis function of the subdivision scheme is used, whereas the time discretization is done with
Zainab Iqbal, Syeda Tehmina Ejaz, Jihad Younis, M. I. Elashiry, Faizah D. Alanazi, Nikhil Khanna   +5 more
wiley   +1 more source