Temporal interface in dispersive hyperbolic media. [PDF]
Ptitcyn G +3 more
europepmc +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
Gradient regularity for widely degenerate elliptic partial differential equations. [PDF]
Strunk M.
europepmc +1 more source
Sharp commutator estimates of all order for Coulomb and Riesz modulated energies
Abstract We prove functional inequalities in any dimension controlling the iterated derivatives along a transport of the Coulomb or super‐Coulomb Riesz modulated energy in terms of the modulated energy itself. This modulated energy was introduced by the second author and collaborators in the study of mean‐field limits and statistical mechanics of ...
Matthew Rosenzweig, Sylvia Serfaty
wiley +1 more source
Dromion solutions for system of ion sound and Langmuir waves using truncated Painlevé approach. [PDF]
Iqbal M +5 more
europepmc +1 more source
Dimer models and conformal structures
Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala +3 more
wiley +1 more source
Ray Transform of Symmetric Tensor Fields on Riemannian Manifolds with Conjugate Points. [PDF]
Holman S, Krishnan VP.
europepmc +1 more source
This comprehensive study advances delamination analysis in composites through innovative computational methods, experimental validation techniques, and predictive algorithms, collectively enhancing damage progression prediction and structural health monitoring for improved integrity in high‐performance applications.
Dhivya Elumalai +4 more
wiley +1 more source
Effects of High Larval Density on Wing Shape Deformations of <i>Culex pipiens</i> (Culicidae: Diptera) via Geometric Morphometrics. [PDF]
Aytekin S, Sakaci Z, Talay S, Alten B.
europepmc +1 more source
Solvability of invariant systems of differential equations on H2$\mathbb {H}^2$ and beyond
Abstract We show how the Fourier transform for distributional sections of vector bundles over symmetric spaces of non‐compact type G/K$G/K$ can be used for questions of solvability of systems of invariant differential equations in analogy to Hörmander's proof of the Ehrenpreis–Malgrange theorem.
Martin Olbrich, Guendalina Palmirotta
wiley +1 more source

