On Foundational Discretization Barriers in STFT Phase Retrieval
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Fourier Analysis and Applications"
DOI: 10.1007/s00041-022-09935-5
Abstract: We prove that there exists no window function $$g \in {L^2(\mathbb {R})}$$ g ∈ L 2 ( R ) and no lattice $${\mathcal {L}} \subset \mathbb {R}^2$$ L ⊂ R 2 such that every $$f… read more here.
Keywords: stft phase; discretization; mathbb; phase retrieval ... See more keywords
Neural network-based discretization of nonlinear differential equations
Sign Up to like & getrecommendations! Published in 2017 at "Neural Computing and Applications"
DOI: 10.1007/s00521-017-3249-4
Abstract: This article presents a discretization scheme for a nonlinear differential equation using a regression analysis technique. As with many other numerical solvers such as finite difference methods and finite element methods, the presented scheme discretizes… read more here.
Keywords: equation; network based; discretization; nonlinear differential ... See more keywords
Finite element discretization of local minimization schemes for rate-independent evolutions
Sign Up to like & getrecommendations! Published in 2019 at "Calcolo"
DOI: 10.1007/s10092-018-0301-4
Abstract: This paper is concerned with a space-time discretization of a rate-independent evolution governed by a non-smooth dissipation and a non-convex energy functional. For the time discretization, we apply the local minimization scheme introduced in Efendiev… read more here.
Keywords: time; local minimization; discretization; rate independent ... See more keywords
A Convergent Lagrangian Discretization for a Nonlinear Fourth-Order Equation
Sign Up to like & getrecommendations! Published in 2017 at "Foundations of Computational Mathematics"
DOI: 10.1007/s10208-015-9284-6
Abstract: A fully discrete Lagrangian scheme for numerical solution of the nonlinear fourth-order DLSS equation in one space dimension is analyzed. The discretization is based on the equation’s gradient flow structure in the $$L^2$$L2-Wasserstein metric. By… read more here.
Keywords: convergent lagrangian; discretization; fourth order; equation ... See more keywords
Structure-preserving discretization of the chemical master equation
Sign Up to like & getrecommendations! Published in 2017 at "BIT Numerical Mathematics"
DOI: 10.1007/s10543-017-0651-3
Abstract: The chemical master equation is a differential equation to model stochastic reaction systems. Its solutions are nonnegative and $$\ell ^1$$ℓ1-contractive which is inherently related to their interpretation as probability densities. In this note, numerical discretizations… read more here.
Keywords: equation; master equation; chemical master; discretization ... See more keywords
Hybrid discretization of multi-phase flow in porous media in the presence of viscous, gravitational, and capillary forces
Sign Up to like & getrecommendations! Published in 2018 at "Computational Geosciences"
DOI: 10.1007/s10596-018-9760-6
Abstract: Multi-phase flow in porous media in the presence of viscous, gravitational, and capillary forces is described by advection diffusion equations with nonlinear parameters of relative permeability and capillary pressures. The conventional numerical method employs a… read more here.
Keywords: phase; discretization; phase flow; viscous gravitational ... See more keywords
High-fidelity Sound Propagation in a Varying 3D Atmosphere
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-018-0751-5
Abstract: A stable and high-order accurate upwind finite difference discretization of the 3D linearized Euler equations is presented. The discretization allows point sources, a varying atmosphere and curved topography. The advective terms are discretized using recently… read more here.
Keywords: fidelity sound; discretization; sound propagation; varying atmosphere ... See more keywords
Discretization Procedure for Linear Dynamical Systems
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-018-3765-5
Abstract: We describe in detail a method of construction of a discrete linear dynamical model of a controllable object in the recurrent Cauchy form corresponding to an initial continuous dynamical system. We describe discretization algorithms for… read more here.
Keywords: discretization; discretization procedure; linear dynamical; dynamical systems ... See more keywords
Taylor–Lie formulation based discretization of nonlinear systems
Sign Up to like & getrecommendations! Published in 2018 at "International Journal of Dynamics and Control"
DOI: 10.1007/s40435-017-0317-7
Abstract: This paper proposes a discretization technique based on Taylor–Lie formulation. It also presents an overview of various techniques that can be applied for the discretization of a class of nonlinear systems. An in-depth analysis and… read more here.
Keywords: taylor lie; discretization; formulation based; lie formulation ... See more keywords
Calculation of λ modes of the multi-group neutron transport equation using the discrete ordinates and Finite Difference Method
Sign Up to like & getrecommendations! Published in 2020 at "Annals of Nuclear Energy"
DOI: 10.1016/j.anucene.2019.107077
Abstract: Abstract The method explained in this paper solves the steady-state of the neutron transport equation for 1D and 2D systems modeled with Cartesian geometry, by using the Discrete Ordinates method S N for the angular… read more here.
Keywords: discretization; method; equation; finite difference ... See more keywords
Optimal discretization of feedback control in missile formation
Sign Up to like & getrecommendations! Published in 2017 at "Aerospace Science and Technology"
DOI: 10.1016/j.ast.2017.04.025
Abstract: Abstract This paper develops a missile formation algorithm. The general form of time-varying formation constraints in three-dimensional space for missiles is deduced, and the formation control under time-varying position constraints is transformed into constrained optimization… read more here.
Keywords: discretization; control; feedback control; missile formation ... See more keywords