Two finite difference methods for a nonlinear BVP arising in physical oceanography
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
Stochastic Vibrations of a System of Plates Immersed in Fluid Using a Coupled Boundary Element, Finite Element, and Finite Difference Methods Approach. [PDF]
Guminiak M +3 more
europepmc +1 more source
Efficient parallel computing with a compact finite difference scheme
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
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
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
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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
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
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
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]
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

