Results 11 to 20 of about 173,975,381 (346)
Dissipation inequalities for the analysis of a class of PDEs [PDF]
Automatica, 2016 In this paper, we develop dissipation inequalities for a class of well-posed systems described by partial differential equations (PDEs). We study passivity, reachability, induced input-output norm boundedness, and input-to-state stability (ISS).
M. Ahmadi +2 more
semanticscholar +3 more sources
High-frequency analysis of parabolic stochastic PDEs [PDF]
Annals of Statistics, 2018 We consider the problem of estimating stochastic volatility for a class of second-order parabolic stochastic PDEs. Assuming that the solution is observed at a high temporal frequency, we use limit theorems for multipower variations and related ...
Carsten H. Chong
semanticscholar +3 more sources
Numerical analysis of strongly nonlinear PDEs * [PDF]
Acta Numerica, 2016 We review the construction and analysis of numerical methods for strongly nonlinear PDEs, with an emphasis on convex and non-convex fully nonlinear equations and the convergence to viscosity solutions.
M. Neilan, A. Salgado, Wujun Zhang
semanticscholar +6 more sources
Exact traveling wave solutions for nonlinear PDEs in mathematical physics using the generalized Kudryashov method [PDF]
Serbian Journal of Electrical Engineering, 2016 The generalized Kudryashov method is applied in this article for finding the exact solutions of nonlinear partial differential equations (PDEs) in mathematical physics. Solitons and other solutions are given.
Zayed El-Sayed Mohamed El-Sayed +1 more
doaj +2 more sources
Symmetry Analysis and Exact Solutions to the Space-Dependent Coefficient PDEs in Finance [PDF]
Abstract and Applied Analysis, 2013 The variable-coefficients partial differential equations (vc-PDEs) in finance are investigated by Lie symmetry analysis and the generalized power series method. All of the geometric vector fields of the equations are obtained; the symmetry reductions and
Hanze Liu
doaj +2 more sources
Multilevel CNNs for parametric PDEs [PDF]
, 2023 We combine concepts from multilevel solvers for partial differential equations (PDEs) with neural network based deep learning and propose a new methodology for the efficient numerical solution of high-dimensional parametric PDEs.
Heiß, Cosmas +2 more
core +3 more sources
Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps [PDF]
, 2013 Coarse spaces are instrumental in obtaining scalability for domain decomposition methods for partial differential equations (PDEs). However, it is known that most popular choices of coarse spaces perform rather weakly in the presence of heterogeneities ...
Dolean Maini, Victorita +5 more
core +4 more sources
Analysis of random mobility models with PDE's [PDF]
Proceedings of the 7th ACM international symposium on Mobile ad hoc networking and computing, 2006 In this paper we revisit two classes of mobility models which are widely used to represent users' mobility in wireless networks: Random Waypoint (RWP) and Random Direction (RD). For both models we obtain systems of partial differential equations which describe the evolution of the users' distribution.
GARETTO, MICHELE, E. LEONARDI
openaire +2 more sources
Journal of Pharmaceutical Analysis, 2022 Indole-3-carbinol (I3C), an important anticancer compound found in broccoli, has attracted considerable attention. The rapid extraction and accurate analysis of I3C in the pharmaceutical industry in broccoli is challenging as I3C is unstable at low pH ...
Yanan Yuan +4 more
doaj +1 more source
A Theoretical Analysis of Deep Neural Networks and Parametric PDEs [PDF]
Constructive approximation, 2019 We derive upper bounds on the complexity of ReLU neural networks approximating the solution maps of parametric partial differential equations. In particular, without any knowledge of its concrete shape, we use the inherent low dimensionality of the ...
Gitta Kutyniok +3 more
semanticscholar +1 more source