Results 191 to 200 of about 3,908,270 (279)

Shot‐Based Quantum Encoding: A Data‐Loading Paradigm for Quantum Neural Networks

open access: yesAdvanced Computing, Volume 1, Issue 1, December 2026.
Shot‐based quantum encoding loads classical data without any encoding gates: a learned map turns each datum into a probability vector that dictates how many measurement shots start in each basis state, preparing a mixed state that a shallow variational circuit processes as a quantum perceptron layer.
Basil Kyriacou   +3 more
wiley   +1 more source

The Curious Life of Walter Lode

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT This paper is intended to serve as a supplement to the work [PAMM ‐ Proceedings in Applied Mathematics and Mechanics 24, no. 2 (2024): e202400004] to underline the significance of the Lode angle and Lode parameter—concepts attributed to Walter Lode—for the development of modern plasticity theory.
Otto T. Bruhns
wiley   +1 more source

The Long Shadow of Karl Weierstraß Over the Calculus of Variations

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT At first glance, it appears that the contents of Karl Weierstraß's (1815–1897) lecture courses on the calculus of variations were made available to the public only in the seventh volume of his Mathematische Werke, and thus not until 30 years after his death.
Peter Ullrich
wiley   +1 more source

A Simulation Study on Spatial Exponential Decay of Perturbations in a Two‐Dimensional Wave Equation With Optimal Boundary/Line Control

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Recent results have shown that domain‐uniform stabilizability and detectability imply spatial exponential decay of perturbations in optimally controlled hyperbolic PDEs on one‐dimensional domains. This domain‐uniform stabilizability and detectability can be achieved only if the control domain is distributed over the whole spatial domain such ...
Benedikt Oppeneiger
wiley   +1 more source

Stochastic Galerkin and Monte Carlo Methods for Parabolic Problems: Numerical Performance of Variational Matrix‐Free Approximations

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Stochastic Galerkin methods offer unexplored potential for the numerical simulation of parabolic problems with random variables, in particular if they are combined with variational discretizations of the space and time variables. Due to the high dimensionality, the solution of the arising algebraic systems do not become feasible without ...
Moataz Dawor   +2 more
wiley   +1 more source

Hilbert Transform Pairs of Wavelets

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT The orthogonal projection of a real orthonormal wavelet basis onto the Hardy space—consisting of functions whose Fourier transform is supported only on the positive real axis—yields a Parseval frame of wavelets. Motivated by practical considerations, Kingsbury proposed the use of two real scaling functions from multiresolution analyses (MRAs ...
Moritz Proell
wiley   +1 more source

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