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Computing Global Characters
Global Characters
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2015/9/28
Let π be an irreducible representation of a real reductive group G. The global character θπ of π may be considered as a function on the regular semisimple elements of G. The global character determine...
Simulation and Beyond: Computing in the 21st Century
Simulation and Beyond Computing
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2015/8/25
Computers have a remarkable ability to simulate natural and arti cial
phenomena. Industry, science, economic a airs and national security have
come to rely upon simulation as an essential technology...
Computing Periodic Orbits and their Bifurcations with Automatic Differentiation
Automatic Differentiation Computing Periodic Orbits
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2015/8/25
This paper examines algorithms for computing periodic orbits of dynamical systems. Our
goal is to explore the limits of accuracy that are attainable for these calculations within
the pragmatic conte...
Computing Periodic Orbits
Computing Periodic Orbits freedom
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2015/8/25
The dynamics of
uids are often studied through the reduction of partial di erential
equations to systems with only a few degrees of freedom. Analysis of these low dimensional
vector elds remains ...
Computing the threshold shift for general channels
Threshold the probability curve noise the binary
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2015/8/21
The ‘threshold’ of a code ensemble can be defined as the noise level at which the block error probability curve crosses 1/2. For ensembles of low-density parity check codes used over the binary erasur...
A bisection method for computing the H_infinity-norm of a transfer matrix and related problems
Transfer matrix singular value assessment the Hamiltonian matrix characteristic values of linear algebra
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2015/8/13
Inspired by recent work of Byers we establish a simple connection between the singular values of a transfer matrix evaluated along the imaginary axis and the imaginary eigenvalues of a related Hamilto...
A regularity result for the singular values of a transfer matrix and a quadratically convergent algorithm for computing its L_infinity-norm
Matrix and singular value differentiable function frequency singular value lipschitz second derivative
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2015/8/12
The ith singular value of a transfer matrix need not be a differentiable function of frequency where its multiplicity is greater than one. We show that near a local maximum, however, the largest singu...
Branch-and-bound algorithm for computing the minimum stability degree of parameter-dependent linear systems
Branch and bound algorithm linear systems a robust nonlinear and linear system stability the parameters of linear system
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2015/8/12
We consider linear systems with unspecified parameters that lie between given upper and lower bounds. Except for a few special cases, the computation of many quantities of interest for such systems ca...
Computing bounds for the structured singular value via an interior point algorithm
Calculation structure singular value the interior point algorithm
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2015/8/12
We describe an interior point algorithm for computing the upper bound for the structured singular value described in the paper by Fan, Tits and Doyle, IEEE Trans AC, Jan. 1991. We demonstrate the perf...
On computing the worst-case peak gain of linear systems
SISO discrete-time LTI systems computation of `1-gain discrete-time systems with diagonal perturbations worst-case `1-gain.
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2015/8/12
Based on the bounds in the paper by Boyd and Doyle (Comparison of peak and RMS gains for discrete-time systems, Systems and Control Letters, 9:1-6), we present simple upper and lower bounds for the el...
THREE EXAMPLES OF MONTE-CARLO MARKOV CHAINS:AT THE INTERFACE BETWEEN STATOSTICAL COMPUTING,COMPUTER SCIENCE,AND STATISTICAL MECHANICS
Monte carlo markov chain the interface between computing computer science statistical mechanics
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2015/7/14
THREE EXAMPLES OF MONTE-CARLO MARKOV CHAINS:AT THE INTERFACE BETWEEN STATOSTICAL COMPUTING,COMPUTER SCIENCE,AND STATISTICAL MECHANICS。
Accuracy and efficiency in computing electrostatic potential for an ion channel model in layered dielectric/electrolyte media
Poisson-Boltzmann equation layered electrolytes and dielectrics
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2014/9/26
This paper will investigate the numerical accuracy and efficiency in computing the
electrostatic potential for a finite-height cylinder, used in an explicit/implicit hy-brid solvation model for ion c...
Efficient Use of Cloud Computing in Medical Science
Cloud Diseases Treatment Medical Information Internet
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2013/1/30
Technology has grown rapidly with scientific advancement over the world in recent decades. Therefore, there is a need to redesign the medical system to meet their better needs .With the advent of clou...
Parallel Computing with a Bayesian Item Response Model
Gibbs Sampling High Performance Computing Message Passing Interface Two-Parameter IRT Model
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2013/1/30
Item response theory (IRT) is a modern test theory that has been used in various aspects of educational and psychological measurement. The fully Bayesian approach shows promise for estimating IRT mode...
Computing power series expansions of modular forms
power series expansions of modular forms Number Theory
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2012/5/9
We exhibit a method to numerically compute power series expansions of modular forms on a cocompact Fuchsian group, using the explicit computation a fundamental domain and linear algebra.