Results 31 to 40 of about 682 (92)
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
Utility of local capillary supply indices: Insights from computational image‐based modelling
Abstract figure legend Local capillary distribution and fibre geometry influence oxygen availability in skeletal muscle. Image‐based modelling of tissue PO2${{P}_{{{{\mathrm{O}}}_2}}}$ shows that area‐based measures of capillary supply – the local capillary density (LCDi) and local maximum diffusion distance (Dmax,i) – most accurately represent the ...
Abdullah A. Al‐Shammari +6 more
wiley +1 more source
A priori bounds for the generalised parabolic Anderson model
Abstract We show a priori bounds for solutions to (∂t−Δ)u=σ(u)ξ$(\partial _t - \Delta) u = \sigma (u) \xi$ in finite volume in the framework of Hairer's Regularity Structures [Invent Math 198:269–504, 2014]. We assume σ∈Cb2(R)$\sigma \in C_b^2 (\mathbb {R})$ and that ξ$\xi$ is of negative Hölder regularity of order −1−κ$- 1 - \kappa$ where κ<κ¯$\kappa <
Ajay Chandra +2 more
wiley +1 more source
An Effective Physics‐Informed Neural Operator Framework for Predicting Wavefields
Abstract Solving the wave equation is fundamental for many geophysical applications. However, numerical solutions of the Helmholtz equation face significant computational and memory challenges. Therefore, we introduce a physics‐informed convolutional neural operator (CNO) (PICNO) to solve the Helmholtz equation efficiently.
X. Ma, T. Alkhalifah
wiley +1 more source
Evaluation of preclinical antipsychotic models used to support first‐in‐human clinical trials
Abstract Schizophrenia is regarded as a complex and heterogeneous psychiatric disorder, characterised by diverse symptoms and comorbidities, which complicate both clinical management and drug development. Current pharmacological treatment, primarily based on dopamine D2 receptor antagonism or partial agonism, which has not markedly progressed since the
Thi Viet Ha Nguyen +2 more
wiley +1 more source
Macroscopic Market Making Games
ABSTRACT Building on the macroscopic market making framework as a control problem, this paper investigates its extension to stochastic games. In the context of price competition, each agent is benchmarked against the best quote offered by the others. We begin with the linear case.
Ivan Guo, Shijia Jin
wiley +1 more source
Asymptotic Analysis of the Static Bidomain Model for Pulsed Field Cardiac Ablation
ABSTRACT Cardiac arrhythmias are caused by faulty electrical signals in the heart, which lead to chaotic wave propagation and impaired cardiac function. This work focuses on a non‐thermal ablation technique based on electroporation (EP), a promising method for treating arrhythmias, called pulsed field ablation (PFA).
Annabelle Collin +2 more
wiley +1 more source
Accelerating Conjugate Gradient Solvers for Homogenization Problems With Unitary Neural Operators
ABSTRACT Rapid and reliable solvers for parametric partial differential equations (PDEs) are needed in many scientific and engineering disciplines. For example, there is a growing demand for composites and architected materials with heterogeneous microstructures.
Julius Herb, Felix Fritzen
wiley +1 more source
Breaking Barriers in High‐Order Spectral Methods: The Intrinsic Matrix Approach
ABSTRACT This paper introduces a unified framework in Hilbert spaces for applying high‐order differential operators in bounded domains using Chebyshev, Legendre, and Fourier spectral methods. By exploiting the banded structure of differentiation matrices and embedding boundary conditions directly into the operator through a scaling law relating ...
Osvaldo Guimarães, José R. C. Piqueira
wiley +1 more source
ABSTRACT This work presents novel structure‐preserving formulations for stable model order reduction in the context of time‐domain room acoustics simulations. A solution to address the instability in conventional model order reduction formulations based on the Linearized Euler Equations is derived and validated through numerical experiments.
Satish Bonthu +4 more
wiley +1 more source

