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Study Shows Animals with Larger Brains are Best Problem Solvers
Animals Larger Brains Best Problem Solvers
2016/2/22
Why did some species, such as humans and dolphins, evolve large brains relative to the size of their bodies? Why did others, such as blue whales and hippos, evolve to have brains that, compared to the...
libmpdata++ 1.0: a library of parallel MPDATA solvers for systems of generalised transport equations
Structured grids numerical dynamic system transmission nonlinear stability
2015/5/18
This paper accompanies the first release of libmpdata++, a C++ library implementing the multi-dimensional positive-definite advection transport algorithm (MPDATA) on regular structured grid. The libra...
Inexact Solvers for Saddle-point System Arising from Domain Decomposition of Linear Elasticity Problems in Three Dimensions
Domain decompostion geometrically non-conforming Lagrange multiplier saddle-point system preconditioners conditionnumber
2012/8/8
In this paper, a domain decomposition method with lagrange mul-
tipliers based on geometrically non-conforming subdomain partitions
for three dimensional linear elasticity is considered. Because of ...
A Non-overlapping Domain Decomposition Method with Inexact Solvers
domain decomposition interface space multilevel decomposition constant-like function nearly harmonic extension preconditioner inexact solvers condition number
2012/8/8
In this paper we are concerned with non-overlapping domain decomposition methods
for the second-order elliptic problems in three-dimensional domains. We develop a
new kind of substructuring method, ...
Multivariate (Geometric) Constraints Solving using Subdivision based Solvers
Multivariate Subdivision based Solvers
2014/10/30
Having many ways (numeric/algebraic/etc.) to try and
solve this problem we will focus on a (geometric) subdivision based solver
in the piecewise-polynomial/rational domains. We will further show t...
Rethinking Electrostatic Solvers in Particle Simulations for the Exascale Era
Rethinking Electrostatic Solvers Particle Simulations the Exascale Era Computational Physics
2012/5/31
In preparation to the exascale era, an alternative approach to calculate the electrostatic forces in Particle Mesh (PM) methods is proposed. While the traditional techniques are based on the calculati...
On direct inverse of Stokes, Helmholtz and Laplacian operators in view of time-stepper-based Newton and Arnoldi solvers in incompressible CFD
Stoke Helmholtz Laplacian operators time-stepper-based Newton Arnoldi solvers incompressible CFD
2011/8/4
Abstract: Factorization of the incompressible Stokes operator linking pressure and velocity is revisited. The main purpose is to use the inverse of the Stokes operator with a large time step as a prec...
Generalized Methods and Solvers for Noise Removal from Piecewise Constant Signals
Generalized Methods Solvers Noise Removal
2011/1/4
Removing noise from piecewise constant (PWC) signals, is a challenging signal processing problem arising in many practical contexts. For example, in exploration geosciences, noisy drill hole records n...
Atmospheric circulation of tidally-locked exoplanets: a suite of benchmark tests for dynamical solvers
Earth and Planetary Astrophysics (astro-ph.EP) Galaxy Astrophysics (astro-ph.GA)
2010/12/27
The complexity of atmospheric modelling and its inherent non-linearity, together with the limited amount of data of exoplanets available, motivate model intercomparisons and benchmark tests.
Implementation and evaluation of an array of chemical solvers in the Global Chemical Transport Model GEOS-Chem
Implementation evaluation array chemical solvers Global Chemical Transport Model GEOS-Chem
2010/2/5
This paper discusses the implementation and performance of an array of gas-phase chemistry solvers for the state-of-the-science GEOS-Chem global chemical transport model. The implementation is based o...
Non-overlapping Domain Decomposition Methods with A New Class of Multilevel Solvers
domain decomposition interface space multilevel decomposition preconditioner condition number harmonic extension inexact solver
2012/8/1
In this paper we are concerned with non-overlapping domain decomposition methods for the second-order elliptic problems in three-dimensional domains. In this method,the interface variable is chosen as...
GEOMETRIC THEOREM PROVERS AND ALGEBRAIC EQUATIONS SOLVERS
GEOMETRIC THEOREM PROVERS ALGEBRAIC EQUATIONS SOLVERS
2013/9/9
The methods of mechanizing mathematics are realized by means of computer software for solving scientiˉc and engineering problems via symbolic and hybrid computation. This chapter provides a collection...