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CARRIES, GROUP THEORY, AND ADDITIVE COMBINATORICS
Data occurred along the equalization algorithm minimize proportion
2015/7/7
When numbers are added in the usual way carries occur along the route. These carries cause a mess and it is natural to seek ways to minimize them. This paper proves that balanced arithmetic minimizes ...
ON UNIFORM CONVERGENCE THEORY OF LOCAL MULTIGRID METHODS IN H1(Ω) AND H(curl,Ω)
Maxwell’s equations Lagrangian finite elements edge elements local multigridmethod successive subspace correction
2012/8/10
We consider the convergence theory of local multigrid methods for H1()-elliptic
and H(curl,)-elliptic variational problems on bounded Lipschitz domains. In the context of lowest
order conforming fin...
Power Tensor Theory and Continuous Wavelet Transform
Wavelets Tensor Electrical Power Power Electronic Power Quality
2013/1/30
A model for the definition of electrical Power is presented, which retrieves the concepts of homomorphism from the geometrical tensor approximation at the wavelet approach. Their definition here is ne...
Embedded Zassenhaus Expansion to Operator Splitting Schemes: Theory and Application in Fluid Dynamics
Operator splitting method Iterative splitting Zassenhaus product Parabolic differential equations Convection-Diffusion-Reaction Equations
2012/4/18
In this paper, we contribute operator-splitting methods improved by the Zassenhaus product for the numerical solution of linear partial differential equations. We address iterative splitting methods, ...
Approximate Interval Method for Epistemic Uncertainty Propagation using Polynomial Chaos and Evidence Theory
Approximate Interval Method Epistemic Uncertainty Propagation Evidence Theory
2011/9/29
Abstract: The paper builds upon a recent approach to find the approximate bounds of a real function using Polynomial Chaos expansions. Given a function of random variables with compact support probabi...
Error Estimates in Horocycle Averages Asymptotics: Challenges from String Theory
Error Estimates Horocycle Averages Asymptotics Challenges String Theory
2011/1/21
For modular functions of rapid decay, a classical result connects the error estimate in their long horocycle average asymptotic to the Riemann hy-pothesis.
Multiplicative zero-one laws and metric number theory
Zero-one laws metric Diophantine approximation
2011/1/18
We develop the classical theory of Diophantine approximation without assuming monotonicity or convexity. A complete ‘multiplicative’ zero-one law is established akin to the ‘simultaneous’ zero-one law...
On the computation of non-perturbative effective potentials in the string theory landscape -- IIB/F-theory perspective
computation non-perturbative effective potentials theory landscape -- IIB/F-theory perspective
2010/12/16
We discuss a number of issues arising when computing non-perturbative e ects systematically across the string theory landscape. In particular, we cast the study of fairly generic physical properties i...
Perturbation theory for a stochastic process with Ornstein-Uhlenbeck noise
Noise diffusion annihilation/creationo perators
2010/4/8
The Ornstein-Uhlenbeck process may be used to generate a noise signal with a finite correlation time. If a one-dimensional stochastic process is driven by such a noise source, it may be analysed by so...
On Algebraic Structure and Poisson's Theory of Mechanico-electrical Systems
algebraic structure Poisson integral method mechamico-electrical system
2012/8/1
This letter focuses on studying algebraic structure and the Poisson’s theory of mechanico-electrical systems. Based on the relationship between momentum and Hamiltonian, we present Hamilton canonical ...