Results 51 to 60 of about 381,247 (286)
Theoretical Optimization of Finite Difference Schemes
, 2006 The aim of this work is to develop general optimization methods for finite difference schemes used to approximate linear differential equations. The specific case of the transport equation is exposed. In particular, the minimization of the numerical error is taken into account.
David, Claire, Sagaut, Pierre
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Construction of invariant compact finite-difference schemes [PDF]
Physical Review E, 2020 In this paper we propose a method, which is based on equivariant moving frames, for development of high-order accurate invariant compact finite-difference schemes that preserve Lie symmetries of underlying partial differential equations. In this method, variable transformations that are obtained from the extended symmetry groups of partial differential
E. Ozbenli, P. Vedula
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Dynamic Precipitation during High‐Pressure Torsion of a Magnesium–Manganese Alloy
Advanced Engineering Materials, EarlyView.An ultrafine‐grained alloy is produced by high‐pressure torsion of solutionized Mg–1.35 wt% Mn. Precipitation of nanometer‐scale Mn particles during deformation provides pinning sites. This prevents the formation of a bimodal grain structure and results in a finer grain size than for pure Mg.
Julian M. Rosalie, Anton Hohenwarter
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Stability analysis of the implicit finite difference schemes for nonlinear Schrödinger equation
AIMS Mathematics, 2022 This paper analyzes the stability of numerical solutions for a nonlinear Schrödinger equation that is widely used in several applications in quantum physics, optical business, etc.
Eunjung Lee, Dojin Kim
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Staggered Finite Difference Schemes for Conservation Laws [PDF]
Journal of Scientific Computing, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
PUPPO G, RUSSO, Giovanni
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Advanced Engineering Materials, EarlyView.Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt +8 more
wiley +1 more source
Cabaret finite‐difference schemes for the one‐dimensional Euler equations
Mathematical Modelling and Analysis, 2001 In the present paper we consider second order compact upwind schemes with a space split time derivative (CABARET) applied to one‐dimensional compressible gas flows.
V. M. Goloviznin +2 more
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, 2015 We present domain decomposition finite element/finite difference method for the solution of hyperbolic equation. The domain decomposition is performed such that finite elements and finite differences are used in different subdomains of the computational ...
Beilina, L.
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On stochastic finite difference schemes [PDF]
Stochastic Partial Differential Equations: Analysis and Computations, 2014 Finite difference schemes in the spatial variable for degenerate stochastic parabolic PDEs are investigated. Sharp results on the rate of $L_p$ and almost sure convergence of the finite difference approximations are presented and results on Richardson extrapolation are established for stochastic parabolic schemes under smoothness assumptions.
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Advanced Engineering Materials, EarlyView.The effect of temperature controllers that are commonly used in freeze‐casting is investigated in this work. Temperature controllers are observed to generate a voltage in the slurry. Microstructural alignment and ultimate compressive strength data show this voltage to interfere with the ability to align the microstructure using magnetic fields ...
Maddie A. Schmitz, Steven E. Naleway
wiley +1 more source