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A Computational and Theoretical Investigation of the Accuracy of Quasicontinuum Methods
quasicontinuum error analysis atomistic-to-continuum multiphysics.
2011/3/1
We give computational results to study the accuracy of several quasicontinuum methods
for two benchmark problems — the stability of a Lomer dislocation pair under shear and the
stability of a lattic...
Equation-Free Multiscale Computational Analysis of Individual-Based Epidemic Dynamics on Networks
Computational Epidemiology Individual-based models Networks Complex Dynamics
2011/2/23
The surveillance, analysis and ultimately the efficient long-term prediction and control of epidemic dynamics appear to be one of the major challenges nowadays. Detailed atomistic mathematical models ...
Effective hybrid evolutionary computational algorithms for global optimization and applied to construct prion AGAAAAGA fibril models
Effective hybrid evolutionary computational algorithms global optimization construct prion AGAAAAGA fibril models
2011/3/4
Evolutionary algorithms are parallel computing algorithms and simulated annealing algorithm is a sequential computing algorithm.
Fixed-Point Approaches to Computing Bertrand-Nash Equilibrium Prices Under Mixed Logit Demand: A Technical Framework for Analysis and Efficient Computational Methods
Mixed Logit Demand Technical Framework Analysis Efficient Computational Methods
2011/2/28
Bertrand competiton has been a prominent paradigm for the empirical study of differentiated
product markets for at least twenty years. Firms engaged in Bertrand competition maximize profits by choosi...
Duality Gap, Computational Complexity and NP Completeness: A Survey
Duality Gap Computational Complexity NP Completeness
2011/2/28
In this paper, we survey research that studies the connection between the computational complexity of optimization problems on the one hand, and the duality gap between the primal and dual optimizatio...
The computational challenge of enumerating high-dimensional rook walks
The computational challenge enumerating high-dimensional rook walks
2010/11/24
We provide guessed recurrence equations for the counting sequences of rook paths on d-dimensional chess boards starting at (0..0) and ending at (n..n), where d=2,3,...,12. Our recurrences suggest refi...
A note on computational complexities of polynomial type
computational complexities polynomial type
2010/11/18
We introduce a notion of a polynomial type complexity of a multivariate polynomial. We provide examples of polynomial type complexities, including the determinantal complexity. We present two algorit...
Lyapunov Computational Method for Two-Dimensional Boussinesq Equation
Lyapunov Computational Method Two-Dimensional Boussinesq Equation
2010/11/11
A numerical method is developed leading to Lyapunov operators to approximate the solution of two-dimensional Boussinesq equation. It consists of an order reduction method and a finite difference disc...
A (k, g)-graph is a k-regular graph of girth g, and a (k, g)-cage is a (k, g)-graph of mini-
mum order. We show that a (3,11)-graph of order 112 found by Balaban in 1973 is minimal and unique. We als...
A computational analysis on a hybrid approach: quick-and-dirty ant colony optimization
computational analysis hybrid approach quick-and-dirty colony optimization
2010/9/13
Ant colony optimization (ACO) is a well known metaheuristic. In the literature it has been used for tackling many optimization problems. Often, ACO is hybridized with a local search procedure. All the...
Valid Physical Processes from Numerical Discontinuities in Computational Fluid Dynamics
Numerical Discontinuities Computational Fluid Dynamics
2010/12/10
Due to the limited cell resolution in the representation of flow variables, a piecewise continuous initial reconstruction with discontinuous jump at a cell interface is usually used in modern computat...
Computational Modelling of Nonlinear Calcium Waves
Nonlinear Calcium Waves Computational Modelling reaction-diffusion process
2010/4/6
The calcium transport in biological systems is modelled as a reaction-diffusion process. Nonlinear calcium waves are then simulated using a stochastic cellular automaton whose rules are derived from t...
Computational LPPL Fit to Financial Bubbles
LPPL Fit Financial Bubbles log-periodic power law
2010/4/27
The log-periodic power law (LPPL) is a model of asset prices during endogenous bubbles. If the on-going development of a bubble is suspected, asset prices can be fit numerically to the LPPL law. The b...
Solitons, shockwaves and spikes: Computational simulation of nonlinear waves on lattice
soliton shockwave spikes
2010/9/17
In this paper, we systematically find computational solutions to a class of differential equation systems which exhibit nonlinear wave behavior. After discretizing the nonlinear partial differential e...
A new computational harmonic projection algorithm for large unsymmetric generalized eigenproblems
Eigenvalue unsymmetric matrix harmonic Arnoldi
2010/9/13
The harmonic projection method can be used to find interior eigenpairs of large matrices. Given a target point or shift σ to which the needed interior eigenvalues are close, the desired interior eigen...