This paper considers a resilient state estimation framework for unmanned aerial vehicles (UAVs) that integrates a Kalman filter-like state estimator …

The progression of scientific computing resources has enabled the numerical approximation of mathematical models describing complex physical phenomen…

As the use of machine learning (ML) permeates into diverse application domains, there is an urgent need to support a declarative framework for ML. Id…

Partially-observed Boolean dynamical systems (POBDS) are a general class of nonlinear models with application in estimation and control of Boolean pr…

This paper considers the distributed consensus problem of linear multi-agent systems subject to different matching uncertainties for both the cases w…

Recent progress indicates that highly symmetric recurring solutions of the Navier-Stokes equations, such as equilibria and periodic orbits, provide a…

The Stokes wave problem in a constant vorticity flow is formulated, by virtue of conformal mapping techniques, as a nonlinear pseudodifferential equa…

Controller synthesis for hybrid systems that satisfy temporal specifications expressing various system properties is a challenging problem that has d…

A fully discrete approximation of the semi-linear stochastic wave equation driven by multiplicative noise is presented. A standard linear finite elem…

The definition of partial differential equation (PDE) models usually involves a set of parameters whose values may vary over a wide range. The soluti…

This paper presents a grid-free simulation algorithm for the fully three-dimensional Vlasov--Poisson system for collisionless electron plasmas. We em…

Fluid deformable surfaces are ubiquitous in cell and tissue biology, including lipid bilayers, the actomyosin cortex, or epithelial cell sheets. Thes…

In this paper, we propose a meshfree approximation method for the implicit filter developed in [2], which is a novel numerical algorithm for nonlinea…

Design of robots at the small scale is a trial-and-error based process, which is costly and time-consuming. There are no good dynamic simulation tool…

Shortly before finishing this paper we became aware of the fact, that appropriate combination of changes of variables, considered in Section 2 can take each member of Tzitzeica family (2) into one of its 4 versions that we introduced. Let us demonst…

We analyze several types of soliton solutions to a family of Tzitzeica equations. To this end we use two methods for deriving the soliton solutions: …

A data-driven formulation of the optimal transport problem is presented and solved using adaptively refined meshes to decompose the problem into a se…

Incorporating the side information of text corpus, i.e., authors, time stamps, and emotional tags, into the traditional text mining models has gained…

Inverse optimization refers to the inference of unknown parameters of an optimization problem based on knowledge of its optimal solutions. This paper…

This paper addresses the distributed consensus protocol design problem for linear multi-agent systems with directed graphs and external unmatched dis…

We consider a saddle point formulation for a sixth order partial differential equation and its finite element approximation, for two sets of boundary…

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