Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT Due to the widespread usage of specialized piezoelectric actuators in various applications, accurate simulations have become key components of modern design processes. Although simulation tools for piezoelectric devices are widely available, nonlinear effects, which occur when exciting near resonance at elevated amplitudes, are often neglected
Jonas Hölscher +2 more
wiley +1 more source
Rapid calibration of atrial electrophysiology models using Gaussian process emulators in the ensemble Kalman filter. [PDF]
Sci RepMamajiwala M +5 more
europepmc +1 more source
From Caesar to RSA: A CAMMP‐Based Encryption Workshop for High‐School Classes
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT Encryption has been, and remains, a topic of enduring relevance, reflecting humanity's persistent desire for secure communication. This 3‐hour workshop, developed within the CAMMP framework, aims to introduce participants to the principles of secure communication while fostering mathematical understanding at an appropriate pace for the target ...
Alicia Heck, Benjamin Stamm
wiley +1 more source
A Geometry of Hamiltonian Mechanics. [PDF]
Entropy (Basel)Elgressy G, Horwitz L.
europepmc +1 more source
Continuation of Periodic Solutions in Conservative Systems Leveraging the First Integral of Motion
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT Dynamical systems are often analysed with respect to a system parameter, for which numerical continuation methods are typically used. In most cases, dissipative systems are considered. Here, the continuation of periodic solutions requires the existence of an explicit parameter that can be varied during the continuation process.
Julian Vogelei +2 more
wiley +1 more source
Numerical analysis, spectral graph theory, orthogonal polynomials and quantum algorithms. [PDF]
Philos Trans A Math Phys Eng SciMinenkova A, Mograby G, Zhan H.
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Probing and Graph Coloring Techniques for Trace Estimation in Lattice QCD
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT The computation of Tr[D−1]$\mathrm{Tr}[D^{-1}]$, where D$D$ is the Wilson–Dirac matrix of Lattice QCD, is a fundamental and computationally demanding task with applications to disconnected hadronic correlation functions. Since D−1$D^{-1}$ is a dense matrix of prohibitive size, its trace cannot be computed exactly, and one must resort to ...
Mario Papace +5 more
wiley +1 more source
Near real-time full-wave inverse design of electromagnetic devices. [PDF]
Nat CommunSun JH +5 more
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On computing local monodromy and the numerical local irreducible decomposition
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract Similarly to the global case, the local structure of a holomorphic subvariety at a given point is described by its local irreducible decomposition. Geometrically, the key requirement for obtaining a local irreducible decomposition is to compute the local monodromy action of a generic linear projection at the given point, which is always well ...
Parker B. Edwards +1 more
wiley +1 more source
Breaking the Cross-Sensitivity Degeneracy in FBG Sensors: A Physics-Informed Co-Design Framework for Robust Discrimination. [PDF]
Sensors (Basel)Yalınbaş F, Yılmaz G.
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