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2013
Here we give a brief introduction to finite difference methods. We first explain the implicit method; then we move to the explicit method. The former is more robust, in that it converges to the solution of a partial differential equation as the discrete increments of the state variables approach zero.
Luis M. Abadie, José M. Chamorro
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Here we give a brief introduction to finite difference methods. We first explain the implicit method; then we move to the explicit method. The former is more robust, in that it converges to the solution of a partial differential equation as the discrete increments of the state variables approach zero.
Luis M. Abadie, José M. Chamorro
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The Finite Difference Method [PDF]
The finite difference method was traditionally used in electron optics for solving field distributions. Even for magnetic field calculations, where the finite element method has largely replaced it, there are instances where the finite difference method is still advocated [1]. Finite elements are closely related to finite differences, indeed, there are
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1969
With the aid of electronic computers we can easily calculate the behaviour of oscillating water in even the most complex surge tank systems by using finite difference methods. Consequently these methods are of great importance.
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With the aid of electronic computers we can easily calculate the behaviour of oscillating water in even the most complex surge tank systems by using finite difference methods. Consequently these methods are of great importance.
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2019
This chapter is entirely devoted to numerical methods, keeping in mind that the main application is on diffusion processes in building physics. However, the presentation is oriented to the practical construction of numerical schemes with an overview of their elementary numerical properties.
Julien Berger+3 more
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This chapter is entirely devoted to numerical methods, keeping in mind that the main application is on diffusion processes in building physics. However, the presentation is oriented to the practical construction of numerical schemes with an overview of their elementary numerical properties.
Julien Berger+3 more
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2020
In this chapter, we will develop FD and FDTD solvers for a sequence of PDEs of increasing complexity. We will begin with the one-dimensional (1-D) wave equation, and then we will consider Laplace's equation with two spatial dimensions, Maxwell's equations for two-dimensional (2-D) problems, and the full system of three-dimensional (3-D) Maxwell's ...
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In this chapter, we will develop FD and FDTD solvers for a sequence of PDEs of increasing complexity. We will begin with the one-dimensional (1-D) wave equation, and then we will consider Laplace's equation with two spatial dimensions, Maxwell's equations for two-dimensional (2-D) problems, and the full system of three-dimensional (3-D) Maxwell's ...
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Theoretical analysis of the generalized finite difference method
Computers and Mathematics with Applications, 2022Zhiyin Zheng, Xiaolin Li
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The virial finite difference method
Physics Letters A, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Georges Jolicard, John P. Killingbeck
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2010
Illustrate the concept of the finite difference method for the simple one dimensional case of solute diffusion, with and without advective transport, for both stationary and non stationary cases. Generalize the concept of the finite difference method for two and three dimensional geometries.
Michel Deville+2 more
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Illustrate the concept of the finite difference method for the simple one dimensional case of solute diffusion, with and without advective transport, for both stationary and non stationary cases. Generalize the concept of the finite difference method for two and three dimensional geometries.
Michel Deville+2 more
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Finite Element and Finite Difference Methods
2006Finite element methods (FEM) and finite difference methods (FDM) are numerical procedures for obtaining approximated solutions to boundary-value or initial-value problems. They can be applied to various areas of materials measurement and testing, especially for the characterization of mechanically or thermally loaded specimens or components ...
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