Results 31 to 40 of about 166,599,830 (60)

ERROR ANALYSIS OF NUMERICAL METHODS FOR NONLINEAR GEOMETRIC PDEs

, 2019
This dissertation presents the numerical treatment of two classes of nonlinear geometric problems: fully nonlinear elliptic PDEs and nonlinear nonlocal PDEs.
Li, Wenbo
core   +1 more source

Field Solutions of Parametric PDEs [PDF]

, 2021
We consider mesh based approaches for training neural network to produce field predictions to parametric partial differential equations (PDEs). This is in contrast to current approaches for ‘neural PDE solvers’ that employ collocation approaches to make ...
Ganapathysubramanian, Baskar, Joshi, Ameya, Hegde, Chinmay, Khara, Biswajit, Balu, Aditya, Krishnamurthy, Adarsh, Sarkar, Soumik   +6 more
core  

”New Connections between dynamical systems and Hamiltonian PDEs”

, 2010
This is a course of 8 hours on Hamiltonian PDEs: main examples, Nash-Moser IFT, tame estimates of the inverse linearzied operator, application to NLS and ...
BERTI, MASSIMILIANO
core  

Dissipation inequalities for the analysis of a class of PDEs [PDF]

, 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).
Ahmadi, Mohamadreza, Ahmadi, M, Valmorbida, Giorgio, Papachristodoulou, Antonis, Valmorbida, G, Papachristodoulou, A   +5 more
core   +1 more source

Quasi-periodic solutions of Hamiltonian PDEs [PDF]

, 2011
This paper is an overview of recent existence results and techniques about KAM theory for ...
Massimiliano Berti, Berti, Massimiliano, Berti, M.   +2 more
core   +1 more source

Adaptive tensor product wavelet methods for the solution of PDEs [PDF]

, 2009
We consider the problem of solving linear elliptic partial differential equations on a high-dimensional product domain, which we take to be the unit hypercube. These equations can arise, for example, when solving stochastic differential equations. With a
Dijkema, T. J.., Analysis, Sub Analysis begr. 01-01-2014   +2 more
core   +1 more source

Hamiltonian PDEs: new connections between dynamical systems and PDEs with small divisors phenomena

, 2008
Many partial differential equations arising in physics can be seen as infinite dimensional Hamiltonian systems. Main examples are the nonlinear wave equation, the nonlinear Schrödinger equation, the beam, the membrane and the Kirkhoff equations in ...
BERTI, MASSIMILIANO
core  

On Spectral Properties of Certain Semiregular Systems of PDEs with Polynomial Coefficients [PDF]

This chapter is a survey of some recent results obtained with Marcello Malagutti, concerning asymptotic properties and semi-clustering properties of certain systems of PDEs with polynomial coefficients that contain, as particular examples, some models ...
Alberto Parmeggiani
core   +1 more source

SDE Based Regression for Linear Random PDEs

, 2017
A simulation based method for the numerical solution of PDEs with random coefficients is presented. By the Feynman--Kac formula, the solution can be represented as conditional expectation of a functional of a corresponding stochastic differential ...
Bayer, Christian, Anker, Felix, Schoenmakers, John G. M., Marcel Ladkau, John Schoenmakers, Johannes Neumann, Martin Eigel, Felix Anker, Christian Bayer, Neumann, Johannes, Eigel, Martin, Ladkau, Marcel   +11 more
core   +1 more source

A PDES method preserving boundaries on dense disparity map reconstruction

, 2008
Over smoothness restricts the application of PDEs in the field of dense disparity map reconstruction, because disparity map reconstruction usually requires preserving discontinuousness in some areas such as the boundaries of objects.
Liu J(刘霁), Wang YC(王越超), Peng JJ(彭军舰), Tang YD(唐延东)   +3 more
core   +1 more source