Time-spectral solution of initial-value problems
2012 (English)Conference paper, Abstract (Other academic)
A time-spectral method for solutions of initial-value partial differential equations has recently been developed . The purpose of the method is to avoid inefficient time stepping for problems in plasma physics with widely separated time scales. Temporal, spatial and parameter domains are all treated using an ansatz in the form of a sum of Chebyshev polynomials. The coefficients of the ansatz is determined using a generalized weighted residual method. A new, efficient solver for the resulting algebraic systems of coefficient equations has been developed . In addition, subdomain methods for the temporal and spatial domains are employed . The question is now: to what extent are time-spectral methods really more attractive than finite difference methods? We will report on results concerning accuracy and efficiency for several linear and nonlinear model partial differential equations.
Place, publisher, year, edition, pages
Fusion, Plasma and Space Physics
IdentifiersURN: urn:nbn:se:kth:diva-129340OAI: oai:DiVA.org:kth-129340DiVA: diva2:651752
54th Annual Meeting of the APS Division of Plasma Physics; Providence, Rhode Island, USA, 29 October – 2 November 2012
QC 201309302013-09-272013-09-272013-09-30Bibliographically approved