Results 61 to 70 of about 15,372,242 (227)

Two finite difference methods for a nonlinear BVP arising in physical oceanography

open access: yesAtti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2018
In this paper we define two finite difference methods for a nonlinear boundary value problem on infinite interval. In particular, we report and compare the numerical results for an ocean circulation model obtained by the free boundary approach and a ...
Riccardo Fazio, Alessandra Jannelli
doaj   +1 more source

Efficient parallel computing with a compact finite difference scheme

open access: yes, 2012
This paper proposes an efficient parallel computing approach based on a high-order accurate compact finite difference scheme in conjunction with a conventional domain decomposition method and MPI libraries.
Kim, J.W., Sandberg, R.D.
core   +1 more source

OntOMat: Toward Ontology‐Based Product and Process Design Engineering and Optimization Solutions Fueling Circular Value Chains

open access: yesAdvanced Engineering Materials, EarlyView.
The OntOMat ontology establishes a structured framework for polymer matrix fiber reinforced composite materials, integrating manufacturing processes, characterization methods, and multiscale design through the VDI/VDE 3682 formalized process description standard.
Nicolas Christ   +19 more
wiley   +1 more source

A Novel Neural Network-Based Approach Comparable to High-Precision Finite Difference Methods

open access: yesAxioms
Deep learning methods using neural networks for solving partial differential equations (PDEs) have emerged as a new paradigm. However, many of these methods approximate solutions by optimizing loss functions, often encountering convergence issues and ...
Fanghua Pei, Fujun Cao, Yongbin Ge
doaj   +1 more source

Distinct Microstructural Characteristic Lengths Defining Notch Fatigue Crack Initiation and Propagation, and Defect Tolerance in Advanced Steels

open access: yesAdvanced Engineering Materials, EarlyView.
Schematic representation of modes of microcrack nucleation, growth and temporary arrestment at different boundaries, with the criteria for crack propagation in three scenarios: (1) large notch, (2) defect/small sharp notch, and (3) long crack. This work revisits and integrates results on the fatigue behavior of advanced bainitic steels (in particular ...
Lucia Morales‐Rivas
wiley   +1 more source

Finite difference methods for the generalized Huxley and Burgers-Huxley equations

open access: yesKuwait Journal of Science, 2017
In this paper, explicit exponential finite difference methods arepresented to solve the generalized forms of Huxley andBurgers-Huxley equations. These schemes allows to handle any valuesof $\delta$.
Bilge Inan
doaj  

Trainable neuromorphic spintronic hardware Via analog finite-difference gradient methods

open access: yesNature Communications
Spintronic nano-neurons offer a promising route towards energy-efficient, high performance hardware neural networks thanks to their inherent low-input nonlinear dynamics.
Catarina Pereira   +10 more
doaj   +1 more source

Finite Difference Solution Methods for a System of the Nonlinear Schrödinger Equations

open access: yesNonlinear Analysis, 2004
This paper investigates finite difference schemes for solving a system of the nonlinear Schrödinger (NLS) equations. Several types of schemes, including explicit, implicit, Hopscotch-type and Crank-Nicholson-type are defined.
A. Kurtinaitis, F. Ivanauskas
doaj   +1 more source

Efficient acoustic modelling of large acoustic spaces using finite difference methods. [PDF]

open access: yes, 2017
Time domain methods for solving wave based acoustic models have been of continued interest and development since early work by key figures such as Bottledooren, as these methods can provide a simple and flexible approach for simulating a wide range of ...
Durbridge, Simon E., Hill, Adam J.
core  

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