Results 81 to 90 of about 383,116 (283)

Variable-step finite difference schemes for the solution of Sturm-Liouville problems

, 2014
We discuss the solution of regular and singular Sturm-Liouville problems by means of High Order Finite Difference Schemes. We describe a code to define a discrete problem and its numerical solution by means of linear algebra techniques.
Amodio, Pierluigi, Settanni, Giuseppina
core   +1 more source

Numerical Modeling of Tank Cars Carrying Hazardous Materials With and Without Composite Metal Foam

Advanced Engineering Materials, EarlyView.
Large‐scale puncture models consisting of hazardous materials (HAZMATs) tank car with protective steel–steel composite metal foam (S–S CMF) are solved numerically. Tank car plate with added 10.91–13.33 mm thick S–S CMF layer does not puncture. Protective S–S CMF absorbs impact energy, reduces plate deformation, and prevents shear bands formation ...
Aman Kaushik, Afsaneh Rabiei
wiley   +1 more source

Structural stability of finite dispersion-relation preserving schemes

, 2008
The goal of this work is to determine classes of travelling solitary wave solutions for a differential approximation of a finite difference scheme by means of a hyperbolic ansatz.
Ablowitz, Birkhoff, Burgers, Claire David, David, David, Dodd, Feng, Ince, Johnson, Li, Pierre Sagaut, Polyanin, Shokin, Tam, Whitham, Zhang   +16 more
core   +1 more source

Rafting of Ni‐Based Superalloys Under Multiaxial Load as Understood by Phase‐Field Simulations and Critical Experiments

Advanced Engineering Materials, EarlyView.
Phase‐field simulations coupled with dislocation‐density‐based crystal plasticity modeling reproduce γ′ rafting behavior in single‐crystal Ni‐based superalloys under varied loading conditions. The model captures both macroscopic creep and microscopic morphology evolution, with results matching high‐temperature creep experiments.
Micheal Younan, David Bürger, Gunther Eggeler, Oleg Shchyglo, Ingo Steinbach, Muhammad Adil Ali   +5 more
wiley   +1 more source

High order compact finite difference schemes for a nonlinear Black-Scholes equation [PDF]

A nonlinear Black-Scholes equation which models transaction costs arising in the hedging of portfolios is discretized semi-implicitly using high order compact finite difference schemes. In particular, the compact schemes of Rigal are generalized.
Ansgar Jüngel, Bertram Düring, Michel Fournié   +2 more
core  

Additive Manufacturing of Continuous Fibre Reinforced Composites: Process, Characterisation, Modelling, and Sustainability

Advanced Engineering Materials, EarlyView.
Additive manufacturing provides precise control over the placement of continuous fibres within polymer matrices, enabling customised mechanical performance in composite components. This article explores processing strategies, mechanical testing, and modelling approaches for additive manufactured continuous fibre‐reinforced composites.
Cherian Thomas, Amir Hosein Sakhaei
wiley   +1 more source

Nonuniqueness of lattice Boltzmann schemes derived from finite difference methods

Examples and Counterexamples
Recently, the construction of finite difference schemes from lattice Boltzmann schemes has been rigorously analyzed [Bellotti et al. (2022), Numer. Math. 152, pp. 1–40].
Eliane Kummer, Stephan Simonis
doaj   +1 more source

TVD finite difference schemes and artificial viscosity [PDF]

The total variation diminishing (TVD) finite difference scheme can be interpreted as a Lax-Wendroff scheme plus an upwind weighted artificial dissipation term. If a particular flux limiter is chosen and the requirement for upwind weighting is removed, an
Davis, S. F.
core   +1 more source

Convergent and conservative schemes for nonclassical solutions based on kinetic relations

, 2007
We propose a new numerical approach to compute nonclassical solutions to hyperbolic conservation laws. The class of finite difference schemes presented here is fully conservative and keep nonclassical shock waves as sharp interfaces, contrary to standard
Boutin, Benjamin, Chalons, Christophe, Lagoutiere, Frederic, LeFloch, Philippe G.   +3 more
core   +3 more sources

Bioinspired Shape‐Memory Hook Fasteners With Programmable Interlocking and Silent Release

Advanced Engineering Materials, EarlyView.
Bioinspired hook fasteners made from epoxy shape‐memory polymers are shown to switch between strong, secure attachment and gentle, silent release when heated. By combining programmable geometry and material response, these adaptive fasteners outperform commercial systems in strength and noise control, enabling new solutions for robotics, medical ...
Maria I. Vallejo Ciro, Manuel J. Carvajal Loaiza, Rahaf Homssi, Vanessa Restrepo   +3 more
wiley   +1 more source