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Developmental perspectives of numerical thinking for the interpretation of physical quantities
(IOP Publishing, 2020)
This research reveals the perspectives in the teaching of numerical thinking through a documentary review. The representation of physical elements such as functions, vectors and operators, and their subsequent interpretation ...
Probing numerical Laplace inversion methods for two and three-site molecular exchange between interconnected pore structures
(Academic Press Inc Elsevier Science, 2018-01)
Two-dimension (2D) Nuclear Magnetic Resonance relaxometry experiments are a powerful tool extensively used to probe the interaction among different pore structures, mostly in inorganic systems. The analysis of the collected ...
Regularity theory and high order numerical methods for the (1D)-fractional Laplacian
(American Mathematical Society, 2017-03)
This paper presents regularity results and associated high-order numerical methods for one-dimensional Fractional-Laplacian boundary-value problems. On the basis of a factorization of solutions as a product of a certain ...
Error analysis of generalized-alpha Lie group time integration methods for constrained mechanical systems
(Springer, 2015-01)
Generalized-α methods are very popular in structural dynamics. They are methods of Newmark type and combine favourable stability properties with second order convergence for unconstrained second order systems in linear ...
A procedure to solve a singular stochastic optimal control problem
(University of Waterloo, 2010-04)
In this work we deal with a singular stochastic optimal control problem. We present a theoretical iterative method which converges to the analytical solution and we also present a discretization procedure to obtain an ...
Coarse-grid higher order finite-difference time-domain algorithm with low dispersion errors
(IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC, 2008)
Higher order (2,4) FDTD schemes used for numerical solutions of Maxwell`s equations are focused on diminishing the truncation errors caused by the Taylor series expansion of the spatial derivatives. These schemes use a ...
Reviewing theoretical and numerical models for PCM-embedded cementitious composites
(MDPI, 2018-12)
Accumulating solar and/or environmental heat in walls of apartment buildings or houses is a way to level-out daily temperature differences and significantly cut back on energy demands. A possible way to achieve this goal ...
Augmented Lagrangian method with nonmonotone penalty parameters for constrained optimization
(SPRINGERNEW YORK, 2012)
At each outer iteration of standard Augmented Lagrangian methods one tries to solve a box-constrained optimization problem with some prescribed tolerance. In the continuous world, using exact arithmetic, this subproblem ...
Theoretical and computational issues in modeling material failure in strong discontinuity scenerios
(Elsevier Science Sa, 2004-12)
The paper deals with several aspects related to numerical modelling of material failure in strong discontinuity settings: (a) the onset and development of local material failure in terms of continuum constitutive models ...