Publications related to Millennium Prize Problems

MATHICSE Technical Report : A reduced basis finite element heterogeneous multiscale method for Stokes flow in porous media

Assyr Abdulle, Ondrej Budác

A reduced basis Darcy-Stokes finite element heterogeneous multiscale method (RB-DS-FE-HMM) is proposed for the Stokes problem in porous media. The multiscale method is based on the Darcy-Stokes finite element heterogeneous multiscale method (DS-FE-HMM) int ...

MATHICSE2015

K-Adaptability in Two-Stage Robust Binary Programming

Daniel Kuhn, Grani Adiwena Hanasusanto, Wolfram Wiesemann

Over the last two decades, robust optimization has emerged as a computationally attractive approach to formulate and solve single-stage decision problems affected by uncertainty. More recently, robust optimization has been successfully applied to multi-sta ...

Informs2015

Demand-based scheduling

Michel Bierlaire, Mohammad Yousef Maknoon, Tomas Robenek, Stefan Yves Gabriel Binder

Demand-based scheduling refers to the set of transportation problems that explicitly take into account individual behaviour. In particular, performance indicators of operational decisions combine the actual cost of the operations with an explicit measure o ...

2015

Parser Macros for Scala

Eugene Burmako, Martin Nicolas Duhem

Parser macros are a new kind of macros that allow developers to create new language constructs and to define their own syntax for using them. In this report, we present why parser macros are useful and the kind of problems that they help to solve. We will ...

2015

MATHICSE Technical Report: Benchmark problems on stochastic automata networks in tensor train format

Francisco Santos Paredes Quartin de Macedo

We present a description of transition rate matrices of models for Stochastic Automata Networks (SAN) in their representation as operators in Tensor Train (TT) format. The collection contains models from real-life applications both taken from references di ...

MATHICSE2015

An Adjoint Approach for Stabilizing the Parareal Method

Jan Sickmann Hesthaven, Allan Svejstrup Nielsen, Yvon Maday

The parareal algorithm seeks to extract parallelism in the time-integration direction of time-dependent differential equations. While it has been applied with success to a wide range of problems, it suffers from some stability issues when applied to non-di ...

2015

Comparison between reduced basis and stochastic collocation methods for elliptic problems

Alfio Quarteroni, Gianluigi Rozza, Peng Chen

The stochastic collocation method has recently been applied to stochastic problems that can be transformed into parametric systems. Meanwhile, the reduced basis method, primarily developed for solving parametric systems, has been recently used to deal with ...

Springer Verlag2014

Efficient geometrical parametrisation techniques of interfaces for reduced-order modelling: application to fluid-structure interaction coupling problems

Gianluigi Rozza, Davide Forti

We present some recent advances and improvements in shape parametrisation techniques of interfaces for reduced-order modelling with special attention to fluid-structure interaction problems and the management of structural deformations, namely, to represen ...

Taylor & Francis2014

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Millennium Prize Problems

Enumeration-based approach to solving parametric linear complementarity problems

MATHICSE Technical Report : A reduced basis finite element heterogeneous multiscale method for Stokes flow in porous media

K-Adaptability in Two-Stage Robust Binary Programming

Demand-based scheduling

Parser Macros for Scala

MATHICSE Technical Report: Numerical homogenization methods for parabolic monotone problems

MATHICSE Technical Report: Benchmark problems on stochastic automata networks in tensor train format

An Adjoint Approach for Stabilizing the Parareal Method

Comparison between reduced basis and stochastic collocation methods for elliptic problems

Efficient geometrical parametrisation techniques of interfaces for reduced-order modelling: application to fluid-structure interaction coupling problems

Graph Chatbot

Chat with Graph Search

Parser Macros for Scala

Enumeration-based approach to solving parametric linear complementarity problems

MATHICSE Technical Report : A reduced basis finite element heterogeneous multiscale method for Stokes flow in porous media

K-Adaptability in Two-Stage Robust Binary Programming

Demand-based scheduling

MATHICSE Technical Report: Benchmark problems on stochastic automata networks in tensor train format

Efficient geometrical parametrisation techniques of interfaces for reduced-order modelling: application to fluid-structure interaction coupling problems

MATHICSE Technical Report: Numerical homogenization methods for parabolic monotone problems

An Adjoint Approach for Stabilizing the Parareal Method

Comparison between reduced basis and stochastic collocation methods for elliptic problems