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Advances in Difference Equations is a peer-reviewed mathematics journal covering research on difference equations, published by Springer Open. The journal was established in 2004 and publishes articles on theory, methodology, and application of difference and differential equations.
Advances in Difference Equations; Advances in Geometry; ... Journal of Hyperbolic Differential Equations; Journal of Industrial and Management Optimization;
Advances in Clinical and Experimental Medicine; Advances in Colloid and Interface Science; Advances in Complex Systems; Advances in Developing Human Resources; Advances in Difference Equations; Advances in Distributed Computing and Artificial Intelligence Journal; Advances in Ecological Research; Advances in Electrical and Computer Engineering
Difference equations are similar to differential equations, but replace differentiation by taking the difference between adjacent terms; they can be used to approximate differential equations or (more often) studied in their own right. Many questions and methods concerning differential equations have counterparts for difference equations.
The study of dynamic equations on time scales reveals such discrepancies, and helps avoid proving results twice—once for differential equations and once again for difference equations. The general idea is to prove a result for a dynamic equation where the domain of the unknown function is a so-called time scale (also known as a time-set ...
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Difference in differences (DID [1] or DD [2]) is a statistical technique used in econometrics and quantitative research in the social sciences that attempts to mimic an experimental research design using observational study data, by studying the differential effect of a treatment on a 'treatment group' versus a 'control group' in a natural experiment. [3]
For example, consider the ordinary differential equation ′ = + The Euler method for solving this equation uses the finite difference quotient (+) ′ to approximate the differential equation by first substituting it for u'(x) then applying a little algebra (multiplying both sides by h, and then adding u(x) to both sides) to get (+) + (() +).