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Discrete Calculus of Variations
AIP Conference Proceedings, 2004The continuous calculus of variations is concerned mainly with the determination of minima or maxima of certain definite integrals involving unknown functions. In this paper, a discrete calculus of variations for sums is treated, including the discrete Euler‐Lagrange equation.
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Difference Discrete Variational Principles
AIP Conference Proceedings, 2006The paper provides the discrete Lagrangian and Hamiltonian formulations of mechanical systems for both non‐singular and singular cases. The Lagrangians with linear velocities and with higher velocities are investigated and the corresponding difference Euler‐Lagrange equations and Hamiltonians are found.
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Taste Variation in Discrete Choice Models
Review of Economic Studies, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chesher, Andrew, Santos Silva, Joao M C
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Discrete variational inequalities
1992The inequalities considered are for discrete quadratic functionals motivated by the theory of the second variation for discrete variational problems. They are discrete versions of classical integral inequalties associated with quadratic functionals.
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Discrete calculus of variations
International Journal of Control, 1970This paper develops the concept of discrete calculus of variations and then demonstrates its application to optimisation problems for discrete systems. The parallels between this concept and classical calculus of variations are stressed throughout.
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AIP Conference Proceedings, 2009
Discretizations of variational principles of physical systems are towards discrete models that have a theoretical status equivalent to the continuous models. Practically, such variational discretizations lead to a class of geometric numerical integrators, called variational integrators.
George W. Patrick +3 more
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Discretizations of variational principles of physical systems are towards discrete models that have a theoretical status equivalent to the continuous models. Practically, such variational discretizations lead to a class of geometric numerical integrators, called variational integrators.
George W. Patrick +3 more
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Variational Discrete Developable Surface Interpolation
Journal of Computing and Information Science in Engineering, 2014Modeling using developable surfaces plays an important role in computer graphics and computer aided design. In this paper, we investigate a new problem called variational developable surface interpolation (VDSI). For a polyline boundary P, different from previous work on interpolation or approximation of discrete developable surfaces from P, the VDSI ...
Gong, Wen-Yong +3 more
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Generating Discrete Random Variates
2012This chapter shows how to transform continuous uniform random variates, u∼U(0,1), to random discrete variates for a variable that comes from one of the more common discrete probability distributions. The probability distributions described here are the following: discrete arbitrary, discrete uniform, Bernoulli, binomial, hyper-geometric, geometric ...
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