Publications related to On the equation (Du)(t) H Du = G

Related publications (9)

Solving Non-linear Kolmogorov Equations in Large Dimensions by Using Deep Learning: A Numerical Comparison of Discretization Schemes

Non-linear partial differential Kolmogorov equations are successfully used to describe a wide range of time dependent phenomena, in natural sciences, engineering or even finance. For example, in physical systems, the Allen-Cahn equation describes pattern f ...

SPRINGER/PLENUM PUBLISHERS2023

Preface

Kathryn Hess Bellwald

AMER INST MATHEMATICAL SCIENCES-AIMS2022

On Succinct Non-interactive Arguments in Relativized Worlds

Alessandro Chiesa

Succinct non-interactive arguments of knowledge (SNARKs) are cryptographic proofs with strong efficiency properties. Applications of SNARKs often involve proving computations that include the SNARK verifier, a technique called recursive composition. Unfort ...

SPRINGER INTERNATIONAL PUBLISHING AG2022

Quantitative Sheaf Theory

Arthur Forey

We introduce a notion of complexity of a complex of -adic sheaves on a quasi-projective variety and prove that the six operations are “continuous”, in the sense that the complexity of the output sheaves is bounded solely in terms of the complexity of the i ...

2022

Metaball skinning of synthetic astroglial morphologies into realistic mesh models for visual analytics and in silico simulations

Henry Markram, Felix Schürmann, Daniel Keller, Marwan Muhammad Ahmed Abdellah, Jay Coggan, Nadir Roman Guerrero, Alessandro Enrico Foni, Samuel Lieven D. Lapere, Eleftherios Zisis

Motivation: Astrocytes, the most abundant glial cells in the mammalian brain, have an instrumental role in developing neuronal circuits. They contribute to the physical structuring of the brain, modulating synaptic activity and maintaining the blood-brain ...

Oxford University Press2021

On the Discreteness of Transmission Eigenvalues for the Maxwell Equations

Hoài-Minh Nguyên

In this paper, we establish the discreteness of transmission eigenvalues for Maxwell's equations. More precisely, we show that the spectrum of the transmission eigenvalue problem is discrete, if the electromagnetic parameters $\eps, , \mu, , \heps, , \h ...

2021

On reducing the number of decision variables for dynamic optimization

Dominique Bonvin, Diogo Filipe Mateus Rodrigues

This paper presents an input parameterization for dynamic optimization that allows reducing the number of decision variables compared to traditional direct methods. A small number of decision variables is likely to be beneficial for various applications su ...

2020

Many touchings force many crossings

János Pach

Given n continuous open curves in the plane, we say that a pair is touching if they have finitely many interior points in common and at these points the first curve does not get from one side of the second curve to its other side. Otherwise, if the two cur ...

ACADEMIC PRESS INC ELSEVIER SCIENCE2019

Reduced Numerical Approximation of Reduced Fluid-Structure Interaction Problems With Applications in Hemodynamics

Simone Deparis, Claudia Maria Colciago

This paper deals with fast simulations of the hemodynamics in large arteries by considering a reduced model of the associated fluid-structure interaction problem, which in turn allows an additional reduction in terms of the numerical discretisation. The re ...

2018