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Unique Finite Difference Measurement
SIAM Journal on Discrete Mathematics, 1988This paper considers a variety of combinatorial and number-theoretic questions that arise from considerations of uniqueness in the theory of measurement. Given $n + 1$ objects linearly ordered from worst (smallest) to best (largest), let $d_i $ stand for the difference between objects i and $i + 1$.
Peter C. Fishburn +2 more
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The virial finite difference method
Physics Letters A, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Killingbeck, John, Jolicard, Georges
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Finite-difference and finite-element methods of approximation
Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1971Abstract The finite-difference and finite-element methods for approximating the solution of elliptic boundary-value problems are discussed. The analysis of the order of accuracy is outlined, and the results compared, with some comment on special problems connected with singularities.
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Derivative Estimation with Finite Differences
SIMULATION, 2003This article discusses the implementation of using finite differences to construct a confidence interval for a simulation estimator of the derivative of the steady-state distribution of a stochastic process. The quasi-independent procedure increases the simulation run length progressively until a certain number of essentially independent and ...
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Finite differences are essential for approximating derivatives and solving numerical problems in calculus, particularly in interpolation and differential equations. This chapter outlines three fundamental types: forward, backward, and central differences, each with its respective operators and formulas.
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Finite Differences and Difference Equations
1979In 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 Gradient Approximation: To Randomize or Not?
INFORMS Journal on Computing, 2022Katya Scheinberg
exaly

