Observation-based correction of dynamical models using thermostats [PDF]
Models used in simulation may give accurate short-term trajectories but distort long-term (statistical) properties. In this work, we augment a given approximate model with a control law (a ‘thermostat’) that gently perturbs the dynamical system to target
Leimkuhler, Benedict +6 more
core +1 more source
Development of a Disease Activity Index for the Assessment of VEXAS Syndrome (VEXAS‐DAI)
Objective VEXAS syndrome is characterized by a complex spectrum of inflammatory and hematologic manifestations. Clinical research to identify effective therapies is urgently needed but is hindered by the lack of validated outcome measures. A VEXAS‐specific disease activity index (DAI) is an essential tool for reliably capturing changes in disease ...
Kevin Byram +25 more
wiley +1 more source
Aspects of random geometric graphs: Pursuit-evasion and treewidth [PDF]
In this thesis, we studied two aspects of random geometric graphs: pursuit-evasion and treewidth. We first studied one pursuit-evasion game: Cops and Robbers. This game, which dates back to 1970s, are studied extensively in recent years.
Li, A. +2 more
core
Stability and Convergence Analysis of a Class of Continuous Piecewise Polynomial Approximations for Time-Fractional Differential Equations [PDF]
We propose and study a class of numerical schemes to approximate time-fractional differential equations. The methods are based on the approximations of the Caputo fractional derivative of order α∈ (0 , 1) by using continuous piecewise polynomials, which ...
Zhou, Han +5 more
core +1 more source
A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems
A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam +2 more
wiley +1 more source
Assessment of Mathematical Modeling
Modeling is now being given prominence as one of the six high school subject areas in the Standards for Mathematical Content in the Common Core State Standards for Mathematics (CCSSM). The CCSSM document suggests that mathematical modeling should not be taught as an isolated topic but instead should be employed along with other topics. The essence of a
openaire +3 more sources
Homogenization of layered materials with rigid components in single-slip finite crystal plasticity [PDF]
We determine the effective behavior of a class of composites in finite-strain crystal plasticity, based on a variational model for materials made of fine parallel layers of two types.
Mathematical Modeling +6 more
core +1 more source
Observer‐Based Adaptive Event‐Triggered Tracking Control for Fuzzy TS Systems With Premise Mismatch
This paper presents an adaptive logistic event‐triggered observer‐based tracking controller for Takagi‐Sugeno fuzzy systems under constrained inputs and network delays. Leveraging a hybrid LMI and Secretary Bird Optimization approach, this strategy significantly minimizes communication overhead and computational burden while ensuring optimal reference ...
Oussama Djadane +3 more
wiley +1 more source
The evolution of a polydisperse ensemble of prolate and oblate ellipsoidal crystals in a supercooled one-component melt is theoretically studied. The volume growth rates for prolate and oblate ellipsoids are analytically found and compared at the same ...
Dmitri V. Alexandrov +4 more
doaj +1 more source
Characterizations of symmetric polyconvexity [PDF]
Symmetric quasiconvexity plays a key role for energy minimization in geometrically linear elasticity theory. Due to the complexity of this notion, a common approach is to retreat to necessary and sufficient conditions that are easier to handle.
Kreisbeck, Carolin +4 more
core +1 more source

