نتایج جستجو برای: nonlinear pdes

تعداد نتایج: 223743  

2008
Boyana Norris Lois Curfman McInnes Sanjukta Bhowmick Li Li

Numerical simulations based on nonlinear partial differential equations (PDEs) using Newton-based methods require the solution of large, sparse linear systems of equations at each nonlinear iteration. Typically in large-scale parallel simulations such linear systems are solved by using preconditioned Krylov methods. In many cases, especially in time-dependent problems, the attributes of the lin...

Journal: :Abstract and Applied Analysis 2014

Journal: :Multiscale Modeling & Simulation 2005

Journal: :Studies in Applied Mathematics 1999

Journal: :Journal de Mathématiques Pures et Appliquées 2002

Journal: :Symmetry, Integrability and Geometry: Methods and Applications 2006

2008
Jan Harm van der Walt

By setting up appropriate uniform convergence structures, we are able to reformulate the Order Completion Method of Oberguggenberger and Rosinger in a setting that more closely resembles the usual topological constructions for solving PDEs. As an application, we obtain existence and uniqueness results for the solutions of arbitrary continuous, nonlinear PDEs.

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