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Direct and Inverse Steady-State Heat Conduction in Materials with Discontinuous Thermal Conductivity: Hybrid Difference/Meshless Monte Carlo Approaches. [PDF]
Materials (Basel)Milewski S.
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Groupoids, Discrete Mechanics, and Discrete Variation
Communications in Theoretical Physics, 2008After introducing some of the basic definitions and results from the theory of groupoid and Lie algebroid, we investigate the discrete Lagrangian mechanics from the viewpoint of groupoid theory and give the connection between groupoids variation and the methods of the first and second discrete variational principles.
Guo Jia-Feng +3 more
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On Some Discrete Variational Problems
Acta Applicandae Mathematica, 2001The authors present some results concerning the existence of nontrivial solutions of the nonlinear stationary discrete equation of Schrödinger type \(\sum_{m\in Z^d}a(n,m)u(m)=f(n,\psi (n)).\) The used method is based on a discrete version of the P.-L. Lions concentration-compactness principle.
Pankov, A., Zakharchenko, N.
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Discrete total variation calculus and Lee’s discrete mechanics
Applied Mathematics and Computation, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Jingbo, Guo, Hanying, Wu, Ke
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Variational discrete variable representation
The Journal of Chemical Physics, 1995In developing a pseudospectral transform between a nondirect product basis of spherical harmonics and a direct product grid, Corey and Lemoine [J. Chem. Phys. 97, 4115 (1992)] generalized the Fourier method of Kosloff and the discrete variable representation (DVR) of Light by introducing more grid points than spectral basis functions. Assuming that the
Gregory C. Corey, John W. Tromp
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1996
We begin this chapter by describing a simple fixed endpoint discrete variational problem. We initially consider fixed step sizes of length 1. However, in Section 4.7 we will let the step sizes be of variable length. Assume f(t, y, r) for each t in the discrete interval [a + 1, b + 2] is of class C 2 with respect to the components of the n dimensional ...
Calvin D. Ahlbrandt, Allan C. Peterson
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We begin this chapter by describing a simple fixed endpoint discrete variational problem. We initially consider fixed step sizes of length 1. However, in Section 4.7 we will let the step sizes be of variable length. Assume f(t, y, r) for each t in the discrete interval [a + 1, b + 2] is of class C 2 with respect to the components of the n dimensional ...
Calvin D. Ahlbrandt, Allan C. Peterson
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Total-Variation-Diminishing Time Discretizations
SIAM Journal on Scientific and Statistical Computing, 1988For the approximate solution of hyperbolic conservation laws \(u_ t+\sum^{d}_{i=1}f_ i(u)_{x_ i}=0\) for \(u\in {\mathbb{R}}^ m\) and \(x\in {\mathbb{R}}^ d\) difference schemes with the property of diminishing the total variation are a successful tool. In the present paper the scalar, one-dimensional case is considered and discussed, only.
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1986
A discrete random variable is a random variable taking only values on the nonnegatlve integers. In probability theoritical texts, a discrete random variable is a random variable which takes with probability one values in a given countable set of points.
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A discrete random variable is a random variable taking only values on the nonnegatlve integers. In probability theoritical texts, a discrete random variable is a random variable which takes with probability one values in a given countable set of points.
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