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Finite Difference Calculus

1973
In this chapter we introduce the calculus of finite differences, with applications in difference equations, interpolation and extrapolation and solutions to simple difference equations. Finite difference integration methods are discussed. More complex finite difference equations are then solved by operator techniques.
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Finite difference and finite element methods

Computer Physics Communications, 1976
Abstract The relationships between and relative advantages of finite difference and finite element methods are discussed. The less familiar finite element methods are described first for equilibrium problems: it is shown how quadratic elements on right triangles lead to natural generalisations of the powerful, fourth order accurate nine-point ...
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Finite Differences and Difference Equations

1979
In Applied Mathematics we frequently encounter functions, relationships or equations that somehow depend upon one or more integer variables. There is a body of Mathematics, termed the Calculus of Finite Differences, that frequently proves useful in treating such situations.
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Finite difference modelling

2017
This chapter presents numerical approaches based on finite difference (FD) techniques for dynamic simulation of single-link flexible manipulator systems. A finite-dimensional simulation of the flexible manipulator system is developed using an FD discretisation of the dynamic equation of motion of the manipulator.
M. O. Tokhi, Abul K. M. Azad
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Finite-Difference Methods

1995
Finite-difference methods are important for two reasons. First, they form the background to almost all later developments. Secondly, a finite-difference method is relatively easy to construct and program to solve a particular problem, or class of problems, that may not be suitable for an existing general purpose software package using, say, finite ...
Kazimierz Zakrzewski, Richard L. Stoll
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Finite difference inequalities

1981
The author obtains five theorems for finite difference inequalities of the generalized Gronwall type which extend the range of applications of those known discrete inequalities proved by \textit{B. G. Pachpatte} [Publ. Elektroteh. Fak., Univ. Beogr., Ser. Mat. Fiz. 577-598, 65-73 (1977; Zbl 0375.65050)].
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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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Nanofluidics for osmotic energy conversion

Nature Reviews Materials, 2021
Zhen Zhang, Liping Wen, Lei Jiang
exaly  

Difference-in-Differences with multiple time periods

Journal of Econometrics, 2021
Brantly Callaway
exaly  

The fundamentals and applications of ferroelectric HfO2

Nature Reviews Materials, 2022
Uwe Schroeder   +2 more
exaly  

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