Publications related to Volume of an n-ball

Evolution of water content and suction of Opalinus Clay from recovery at the drilling site to handling in the laboratory

Lyesse Laloui, Alessio Ferrari, Angelica Tuttolomondo

Advanced geotechnical engineering applications, such as shale gas extraction, CO2 geological sequestration, and geological radioactive waste storage, often involve various types of shales located at significant depths. Shales exhibit mechanical properties ...

Oxford2024

A multi scale consolidation model for press moulding of hybrid textiles into complex geometries

Vincent Werlen

Side-by-side hybrid textiles are an intermediate step for the production of fibre-reinforcedthermoplastic composites. Press moulding these materials combining reinforcing fibre textiles andthermoplastic matrix textiles or flexible layers is a promising met ...

EPFL2023

Proximity Results and Faster Algorithms for Integer Programming Using the Steinitz Lemma

Friedrich Eisenbrand

We consider integer programming problems in standard form max{c(T)x : Ax = b, x >= 0, x is an element of Z(n)} where A is an element of Z(mxn), b is an element of Z(m), and c is an element of Z(n). We show that such an integer program can be solved in time ...

ASSOC COMPUTING MACHINERY2020

Boundary Stabilization of Focusing NLKG near Unstable Equilibria: Radial Case

Joachim Krieger, Shengquan Xiang

We investigate the stability and stabilization of the cubic focusing Klein-Gordon equation around static solutions on the closed ball in

\mathbb{R}^3

. First we show that the system is linearly unstable near the static solution

u\equiv1

for any dissipat ...

2020

On the Volume of the John-Lowner Ellipsoid

Grigory Ivanov

We find an optimal upper bound on the volume of the John ellipsoid of a k-dimensional section of the n-dimensional cube, and an optimal lower bound on the volume of the Lowner ellipsoid of a projection of the n-dimensional cross-polytope onto a k-dimension ...

SPRINGER2020

On the reverse isodiametric problem and Dvoretzky-Rogers-type volume bounds

Matthias Schymura

The isodiametric inequality states that the Euclidean ball maximizes the volume among all convex bodies of a given diameter. We are motivated by a conjecture of Makai Jr. on the reverse question: Every convex body has a linear image whose isodiametric quot ...

2018

Proximity results and faster algorithms for Integer Programming using the Steinitz Lemma

Friedrich Eisenbrand

We consider integer programming problems in standard form max{c(T)x : Ax = b; x >= 0, x is an element of Z(n)} where A is an element of Z(mxn), b is an element of Z(m) and c is an element of Z(n). We show that such an integer program can be solved in time ...

ASSOC COMPUTING MACHINERY2018

Stable high-order randomized cubature formulae in arbitrary dimension

Fabio Nobile, Giovanni Migliorati

We propose and analyse randomized cubature formulae for the numerical integration of functions with respect to a given probability measure μ defined on a domain Γ⊆ℝ^d, in any dimension d. Each cubature formula is conceived to be exact on a given finite dim ...

2018

Scenario Reduction Revisited: Fundamental Limits and Guarantees

Daniel Kuhn, Napat Rujeerapaiboon, Kilian Schindler, Wolfram Wiesemann

The goal of scenario reduction is to approximate a given discrete distribution with another discrete distribution that has fewer atoms. We distinguish continuous scenario reduction, where the new atoms may be chosen freely, and discrete scenario reduction, ...

2018

Discontinuous Galerkin scheme for the spherical shallow water equations with applications to tsunami modeling and prediction

Jan Sickmann Hesthaven, Boris Bonev

We present a novel high-order discontinuous Galerkin discretization for the spherical shallow water equations, able to handle wetting/drying and non-conforming, curved meshes in a well-balanced manner. This requires a well-balanced discretization, that can ...

2018

Volume of an n-ball

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Evolution of water content and suction of Opalinus Clay from recovery at the drilling site to handling in the laboratory

A multi scale consolidation model for press moulding of hybrid textiles into complex geometries

Proximity Results and Faster Algorithms for Integer Programming Using the Steinitz Lemma

Boundary Stabilization of Focusing NLKG near Unstable Equilibria: Radial Case

On the Volume of the John-Lowner Ellipsoid

On the reverse isodiametric problem and Dvoretzky-Rogers-type volume bounds

Proximity results and faster algorithms for Integer Programming using the Steinitz Lemma

Stable high-order randomized cubature formulae in arbitrary dimension

Scenario Reduction Revisited: Fundamental Limits and Guarantees

Discontinuous Galerkin scheme for the spherical shallow water equations with applications to tsunami modeling and prediction

A multi scale consolidation model for press moulding of hybrid textiles into complex geometries

Boundary Stabilization of Focusing NLKG near Unstable Equilibria: Radial Case

Proximity Results and Faster Algorithms for Integer Programming Using the Steinitz Lemma

On the reverse isodiametric problem and Dvoretzky-Rogers-type volume bounds

Discontinuous Galerkin scheme for the spherical shallow water equations with applications to tsunami modeling and prediction

Stable high-order randomized cubature formulae in arbitrary dimension

Proximity results and faster algorithms for Integer Programming using the Steinitz Lemma

Scenario Reduction Revisited: Fundamental Limits and Guarantees

Evolution of water content and suction of Opalinus Clay from recovery at the drilling site to handling in the laboratory

On the Volume of the John-Lowner Ellipsoid