Concept

Error analysis (mathematics)

Related publications (75)

Numerical Approximation Of Internal Discontinuity Interface Problems

Alfio Quarteroni, Marco Discacciati, Samuel Quinodoz

This work focuses on the finite element discretization of boundary value problems whose solution features either a discontinuity or a discontinuous conormal derivative across an interface inside the computational domain. The interface is characterized via ...

Siam Publications2013

Accurate and efficient evaluation of failure probability for partial different equations with random input data

Alfio Quarteroni, Peng Chen

Several computational challenges arise when evaluating the failure probability of a given system in the context of risk prediction or reliability analysis. When the dimension of the uncertainties becomes high, well established direct numerical methods can ...

Elsevier Science Sa2013

Estimating the Ice Thickness of Mountain Glaciers from Surface Topography and Mass-Balance Data

Laurent Michel

The question addressed is the determination of a glacier’s subglacial topography, given surface topography and mass-balance data. The input data can be obtained relatively easily for a large number of glaciers. Several methods essentially based on the shal ...

EPFL2013

Relation of exact Gaussian basis methods to the dephasing representation: Theory and application to time-resolved electronic spectra

Jiri Vanicek, Miroslav Sulc

We recently showed that the dephasing representation (DR) provides an efficient tool for computing ultrafast electronic spectra and that further acceleration is possible with cellularization [M. Šulc and J. Vaníček, Mol. Phys. 110, 945 (2012)]. Here, we fo ...

American Institute of Physics2013

Stochastic Optimal Robin Boundary Control Problems of Advection-Dominated Elliptic Equations

Alfio Quarteroni, Gianluigi Rozza, Peng Chen

In this work we deal with a stochastic optimal Robin boundary control problem constrained by an advection-diffusion-reaction elliptic equation with advection-dominated term. We assume that the uncertainty comes from the advection led and consider a stochas ...

Society for Industrial and Applied Mathematics2013

On the Automatic Computation of Error Bounds for Solutions of Nonlinear Equations

Viktor Kuncak, Eva Darulova

A large portion of software is used for numerical calculations in mathematics, physics and engineering applications. Among the things that make verification in this domain difficult is the quantification of numerical errors, such as roundoff errors and err ...

2012

Certifying Solutions for Numerical Constraints

Viktor Kuncak, Eva Darulova

A large portion of software is used for numerical computation in mathematics, physics and engineering. Among the aspects that make verification in this domain difficult is the need to quantify numerical errors, such as roundoff errors and errors due to the ...

2012

Suprathermal ion transport theory and experiments in the SMT

Ambrogio Fasoli, Ivo Furno, Paolo Ricci, Kyle Gustafson, Alexandre Dominique Bovet

Recent advances in the suprathermal ion diagnostic in the basic plasma experiment TORPEX have inspired our comprehensive theoretical study of suprathermal ion transport. TORPEX, an example of a simple magnetized toroidal plasma (SMT), is equipped with a fl ...

2012

Coupling heterogeneous multiscale FEM with Runge-Kutta methods for parabolic homogenization problems: A fully discrete spacetime analysis

Assyr Abdulle, Gilles Vilmart

Numerical methods for parabolic homogenization problems combining finite element methods (FEMs) in space with Runge-Kutta methods in time are proposed. The space discretization is based on the coupling of macro and micro finite element methods following th ...

2012

Hole Staggering Effect on the Cooling Performance of Narrow Impingement Channels

Peter Ott, Alexandros Terzis, Guillaume Wagner

This study examines experimentally the cooling performance of integrally cast impingement cooling channels which provide increased heat transfer area compared to traditional impingement configurations. For the evaluation of the heat transfer coefficient, t ...

2012

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