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Document type:
Zeitschriftenaufsatz 
Author(s):
Thaler, Stephan; Paehler, Ludger; Adams, Nikolaus A. 
Title:
Sparse identification of truncation errors 
Abstract:
This work presents a data-driven approach to the identification of spatial and temporal truncation errors for linear and nonlinear discretization schemes of Partial Differential Equations (PDEs). Motivated by the central role of truncation errors, for example in the creation of implicit Large Eddy schemes, we introduce the Sparse Identification of Truncation Errors (SITE) framework to automatically identify the terms of the modified differential equation from simulation data. We build on recent...    »
 
Keywords:
Data-driven scientific computing; Modified differential equation analysis; Preconditioning; Sparse regression; Truncation error 
Dewey Decimal Classification:
620 Ingenieurwissenschaften 
Journal title:
Journal of Computational Physics 
Year:
2019 
Journal volume:
397 
Covered by:
Scopus 
Publisher:
Elsevier BV 
E-ISSN:
0021-9991 
Accepted:
20.07.2019 
Date of publication:
29.07.2019