Results 21 to 30 of about 288 (89)
Scattering theory for difference equations with operator coefficients
Abstract We investigate a class of second‐order difference equations featuring operator‐valued coefficients with the aim of approaching problems of stationary scattering theory. We focus on various compact perturbations of the discrete Laplacian given in a Hilbert space of bi‐infinite square‐summable sequences with entries from a fixed Hilbert space ...
David Sher +3 more
wiley +1 more source
Efficient Dynamics: Reduced‐Order Modeling of the Time‐Dependent Schrödinger Equation
Reduced‐order modeling (ROM) approaches for the time‐dependent Schrödinger equation are investigated, highlighting their ability to simulate quantum dynamics efficiently. Proper Orthogonal Decomposition, Dynamic Mode Decomposition, and Reduced Basis Methods are compared across canonical systems and extended to higher dimensions.
Kolade M. Owolabi
wiley +1 more source
The Block Preconditioned SOR Method for Solving Indefinite Complex Linear Systems
ABSTRACT In this paper we extend the theory of a block preconditioned SOR method studied by Hezari, Edalaptour, and Salkuyeh (2015) for the solution of indefinite complex linear systems. In particular, we consider the case where the key matrix S$$ S $$ has real eigenvalues which lie in (−∞,+∞)$$ \left(-\infty, +\infty \right) $$ and not only in [0,+∞)$$
M. A. Louka, N. M. Missirlis
wiley +1 more source
Describing the Global Gravity Field of Mars With Lithospheric Flexure and Deep Mantle Flow
Abstract The volcanic complex Tharsis Region on Mars is known for its numerous volcanoes on top of the crust, elevated topography (doming), and a long‐wavelength gravity anomaly correlated with the region. Flexural modeling of the lithosphere has commonly been used to understand the relationship between observed topography, crustal structure, and ...
Bart Root +3 more
wiley +1 more source
Plasmodium falciparum gametogenesis essential protein 1 (GEP1) is a transmission‐blocking target
This study shows Plasmodium falciparum GEP1 is vital for activating sexual stages of malarial parasites even independently of a mosquito factor. Knockout parasites completely fail gamete formation even when a phosphodiesterase inhibitor is added. Two single‐nucleotide polymorphisms (V241L and S263P) are found in 12%–20% of field samples.
Frederik Huppertz +5 more
wiley +1 more source
Inverse Design in Nanophotonics via Representation Learning
This review frames machine learning (ML) in nanophotonics through a classification based on where ML is applied. We categorize methods as either output‐side, which create differentiable surrogates for solving Maxwell's partial differential equations (PDEs), or input‐side, which learn compact representations of device geometry.
Reza Marzban +2 more
wiley +1 more source
This perspective article considers what computations optical computing can and should enable. Focusing upon free‐space optical computing, it argues that a codesign approach whereby materials, devices, architectures, and algorithms are simultaneously optimized is needed.
Prasad P. Iyer +6 more
wiley +1 more source
The work delivers a rigorous mathematical framework for asymptotic tracking in nonlinear systems that explicitly include control‐input derivatives, actuator dynamics, and input saturation, with Lyapunov‐based proofs establishing convergence and robustness under their coupled effects.
Mohammad Reza Homaeinezhad +5 more
wiley +1 more source
Abstract Silicon carbide (SiC) is a promising material for hypersonic thermal protection systems, but its complex oxidation behavior—marked by transitions between passive, active, and interfacial bubbling regimes—can lead to catastrophic failure. Existing SiC models typically focus exclusively on either passive or active oxidation.
Théo A. Rulko, Raúl A. Radovitzky
wiley +1 more source
Dynamics of soliton propagation: bifurcation, chaos, and quantitative insights into the modified Camassa-Holm equation. [PDF]
Alam MN +5 more
europepmc +1 more source

