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Finite Difference Methods I

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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Finite Difference Methods

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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Finite-Difference Method

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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The virial finite difference method

Physics Letters A, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Georges Jolicard, John P. Killingbeck
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Theoretical analysis of the generalized finite difference method

Computers and Mathematics with Applications, 2022
Zhiyin Zheng, Xiaolin Li
semanticscholar   +1 more source

The Finite Difference Method

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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Finite Element and Finite Difference Methods

2006
Finite 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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The Finite Difference Method

1987
In this chapter the finite difference method is presented, for problems of steady and nonsteady groundwater flow. The presentation will be oriented towards the introduction of simple computer programs, written in BASIC, that can be run on personal computers.
Jacob Bear, Arnold Verruijt
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Finite Difference Method

1993
The finite difference method (FDM) is an approximate method for solving partial differential equations. It has been used to solve a wide range of problems. These include linear and non-linear, time independent and dependent problems. This method can be applied to problems with different boundary shapes, different kinds of boundary conditions, and for a
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