Results 71 to 80 of about 2,529,562 (187)
Galois differential algebras and categorical discretization of dynamical systems [PDF]
A categorical theory for the discretization of a large class of dynamical systems with variable coefficients is proposed. It is based on the existence of covariant functors between the Rota category of Galois differential algebras and suitable categories
Tempesta, Piergiulio
core
Nonlocal Mixed Systems With Neumann Boundary Conditions
ABSTRACT We prove well posedness and stability in L1$$ {\mathbf{L}}^1 $$ for a class of mixed hyperbolic–parabolic nonlinear and nonlocal equations in a bounded domain with no flow along the boundary. While the treatment of boundary conditions for the hyperbolic equation is standard, the extension to L1$$ {\mathbf{L}}^1 $$ of classical results about ...
Rinaldo M. Colombo+2 more
wiley +1 more source
ABSTRACT The COVID‐19 pandemic has reverberated across global industries, including the international container shipping industry, where freight rates have become highly volatile. However, shipping lines appeared to thrive, particularly during the pandemic's initial 2 years.
Shiyuan Zheng, Changmin Jiang
wiley +1 more source
Encoding sinusoidal functions in hybrid automata formalism [PDF]
Hybrid systems can express a plethora of physical phenomena and systems as they can combine continuous and discrete dynamics. There exist several tools that enable the reachability analysis of hybrid systems modeled as hybrid automata. However, these tools exhibit certain limitations in the type of mathematical operations that they natively support ...
arxiv
ABSTRACT Target‐mediated drug disposition (TMDD) is often associated with high‐affinity binding to a target resulting in nonlinear pharmacokinetics. For large molecules, such as monoclonal antibodies, this can lead to increased clearance at sub‐saturating concentrations.
Ronny Straube
wiley +1 more source
Model‐Driven Engineering for Digital Twins: Opportunities and Challenges
ABSTRACT Digital twins are increasingly used across a wide range of industries. Modeling is a key to digital twin development—both when considering the models which a digital twin maintains of its real‐world complement (“models in digital twin”) and when considering models of the digital twin as a complex (software) system itself.
Judith Michael+29 more
wiley +1 more source
Automated adjoints of coupled PDE-ODE systems [PDF]
Mathematical models that couple partial differential equations (PDEs) and spatially distributed ordinary differential equations (ODEs) arise in biology, medicine, chemistry and many other fields. In this paper we discuss an extension to the FEniCS finite element software for expressing and efficiently solving such coupled systems.
arxiv
Background and Purpose Glioblastoma (GBM), the most frequent and aggressive brain tumour in adults, is associated with a dismal prognostic despite intensive treatment involving surgery, radiotherapy and temozolomide (TMZ)‐based chemotherapy. The initial or acquired resistance of GBM to TMZ appeals for precision medicine approaches to the design of ...
Sergio Corridore+6 more
wiley +1 more source
Measure‐valued processes for energy markets
Abstract We introduce a framework that allows to employ (non‐negative) measure‐valued processes for energy market modeling, in particular for electricity and gas futures. Interpreting the process' spatial structure as time to maturity, we show how the Heath–Jarrow–Morton approach can be translated to this framework, thus guaranteeing arbitrage free ...
Christa Cuchiero+3 more
wiley +1 more source
Sub-ODEs Simplify Taylor Series Algorithms for Ordinary Differential Equations [PDF]
A Taylor method for solving an ordinary differential equation initial-value problem $\dot x = f(t,x)$, $x(t_0) = x_0$, computes the Taylor series (TS) of the solution at the current point, truncated to some order, and then advances to the next point by summing the TS with a suitable step size. A standard ODE method (e.g. Runge-Kutta) treats function $
arxiv