Exploring Imprecise Probabilities in Quantum Algorithms with Possibility Theory
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 1, March 2026.ABSTRACT Quantum computing utilizes the underlying principles of quantum mechanics to perform computations with unmatched performance capabilities. Rather than using classical bits, it operates on qubits, which can exist in superposition and entangled states. This enables the solution of problems that are considered intractable for classical computers.
Jan Schneider +2 more
wiley +1 more source
Calderón problem for nonlocal viscous wave equations: Unique determination of linear and nonlinear perturbations. [PDF]
Rev R Acad Cienc Exactas Fis Nat A MatZimmermann P.
europepmc +1 more source
Stability and Instability of Time‐Domain Boundary Element Methods for the Acoustic Neumann Problem
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 1, March 2026.ABSTRACT This work presents a stable time‐domain boundary element method for the acoustic wave equation in three‐dimensional unbounded domains. Other formulations of time‐domain boundary element methods based on retarded potential operators are known to exhibit stability issues, which often hinder their use in industrial contexts.
Simon Schneider +4 more
wiley +1 more source
A note on conservation laws with discontinuous flux and L 1 initial data. [PDF]
Mon Hefte MathKarlsen KH, Mitrovic D.
europepmc +1 more source
A Generalization Error Bound of Physics‐Informed Neural Networks for Ecological Diffusion Models
Stat, Volume 15, Issue 1, March 2026.ABSTRACT Ecological diffusion equations (EDEs) are partial differential equations (PDEs) that model spatiotemporal dynamics, often applied to wildlife diseases. Derived from ecological mechanisms, EDEs are useful for forecasting, inference, and decision‐making, such as guiding surveillance strategies for wildlife diseases.
Juan Francisco Mandujano Reyes +4 more
wiley +1 more source
Adaptive neural network based leader-following consensus control for a class of second-order nonlinear multi-agent systems. [PDF]
Sci RepAl Samman FM +4 more
europepmc +1 more source
Dynamic Earthquake Source Inversion With Generative Adversarial Network Priors
Journal of Geophysical Research: Solid Earth, Volume 131, Issue 3, March 2026.Abstract Dynamic earthquake source inversion consists of inferring frictional parameters and initial stress on a fault consistent with recorded seismological and geodetic data and with dynamic earthquake rupture models. In a Bayesian inversion approach, the nonlinear relationship between model parameters and data requires a computationally demanding ...
Jan Premus, Jean Paul Ampuero
wiley +1 more source
Isometric representations in neural networks improve robustness. [PDF]
Sci RepBeshkov K, Verhellen J, Lepperød ME.
europepmc +1 more source
Reserve Price Signaling With Public Information: Evidence From Online Auto Auctions
The RAND Journal of Economics, Volume 57, Issue 1, Page 245-266, Spring 2026.ABSTRACT This article considers an auction model in which a seller's choice of reserve price signals her private information about the object's quality. We show that the signaling incentive would lower the seller's payoff and the probability of sale. We estimate the model using a novel dataset from a large online auto auction platform.
Junyan Guan, Boli Xu
wiley +1 more source