Results 111 to 120 of about 4,524,155 (277)
Nine-Stage Runge–Kutta–Nyström Pairs Sharing Orders Eight and Six
MathematicsWe explore second-order systems of non-stiff initial-value problems (IVPs), particularly those cases where the first derivatives are absent. These types of problems are of significant interest and have applications in various domains, such as astronomy ...
Hadeel Alharbi +5 more
doaj +1 more source
Advanced Engineering Materials, EarlyView.It is shown that laser ablation pretreatment under oxygen‐free conditions enables copper–aluminium bonding at significantly lower deformation degrees and improved properties compared to mechanical brushing. Laser ablation further increases interface contact area and induces favourable residual stress states and microstructural compatibility ...
Khemais Barienti +11 more
wiley +1 more source
Advanced Engineering Materials, EarlyView.A combined finite element and phase‐field approach predicts the evolution of microstructure during the directional solidification of Ni‐based superalloys. The model reveals how withdrawal rate, temperature gradient, and wall thickness control the dendrite spacing, highlighting the strong effect of surface regions in thin sections where dendrite growth ...
Sean Böhm +3 more
wiley +1 more source
Removing Oxide Layers and Retaining Oxide‐Free Steel Surfaces by Polishing in Oxygen‐Free Atmosphere
Advanced Engineering Materials, EarlyView.In this study, the efficacy of wet mechanical polishing under an oxygen‐free atmosphere for deoxidation and the retention of an oxide‐free steel surface are elucidated using X‐ray photoelectron spectroscopy. The methodology proved successful; however, the results were highly dependent on the preparation of the solvents used to clean the samples after ...
Friedrich Bürger +2 more
wiley +1 more source
On the initial value problem for the wave equation in Friedmann-Robertson-Walker space-times. [PDF]
Proc Math Phys Eng Sci, 2014 Abbasi B, Craig W.
europepmc +1 more source
Surface Tension Measurement of Ti‐6Al‐4V by Falling Droplet Method in Oxygen‐Free Atmosphere
Advanced Engineering Materials, EarlyView.In this article, the temperature‐dependent surface tension of free falling, oscillating Ti‐6Al‐4V droplets is investigated in both argon and monosilane doped, oxygen‐free atmosphere. Droplet temperature and oscillation are captured with one single high‐speed camera, and the surface tension is calculated with Rayleigh's formula.
Johannes May +9 more
wiley +1 more source
Analysis and testing of numerical formulas for the initial value problem [PDF]
Three computer programs for evaluating and testing numerical integration formulas used with fixed stepsize programs to solve initial value systems of ordinary differential equations are described.
Brown, R. L. +2 more
core +1 more source
A Topology Optimization Framework for the Inverse Design of Nonlinear Mechanical Metamaterials
Advanced Engineering Materials, EarlyView.This work uses topology optimization to design unit cells for mechanical metamaterials with a prescribed nonlinear stress–strain response. The framework adds contact and postbuckling modeling to synthesize microstructures for three highly nonlinear responses, including pseudoductile behavior, monostable with snap‐through buckling, and bistable ...
Charlie Aveline +2 more
wiley +1 more source
High-Order Special Two-Derivative Runge–Kutta Pairs
MathematicsThis paper presents the development and analysis of novel explicit special two-derivative Runge–Kutta (STDRK) pairs for the numerical integration of ordinary differential equations (ODEs), with a focus on achieving seventh-order accuracy and embedded ...
Ibraheem Alolyan +2 more
doaj +1 more source
Computability of Initial Value Problems
We demonstrate that techniques of Weihrauch complexity can be used to get easy and elegant proofs of known and new results on initial value problems. Our main result is that solving continuous initial value problems is Weihrauch equivalent to weak Kőnig's lemma, even if only solutions with maximal domains of existence are considered.
Vasco Brattka, Hendrik Smischliaew
openaire +2 more sources