Abstract
A systematic method to diagnose the causes of symptoms found in the PDE solving process by visual means is proposed and tested. This method diagnoses the causes of the symptoms by reducing them to the attribute of dominant eigenvectors or to the column vectors of the matrix of the discretized equation. This method uses the shape-preserving nature of eigenvectors in linear transformations. A contour map representation of vector values is utilized also to aid this reduction process by human cognitive capability. This method was incorporated into the high level PDE solver PDEQSOL. The results of its application to several PDE problems show the feasibility of this method. Incorporating this kind of method will enhance the ease-of-use of interactive PDE systems, and also will give a good testbed to judge their quality in various application environments.
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Umetani, Y., Konno, C. et al. (1991) Visual PDEQSOL: A Visual and Interactive Environment for Numerical Simulation, in Proceedings of the IFIP TC2/WC 2.5 Working Conference on Programming Environments for High-Level Scientific Problem Solving, (ed. P. W. Gaffney ), North-Holland, 259–267.
Umetani, Y. (1992) The Visual Diagnosis of the Numerical Calculations for PDE Problems. Purdue University Computer Science Department Technical Report CSD-TR-92082.
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© 1997 IFIP International Federation for Information Processing
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Umetani, Y. (1997). The visual diagnosis on numerical calculation of PDE problems and experiments. In: Boisvert, R.F. (eds) Quality of Numerical Software. IFIP Advances in Information and Communication Technology. Springer, Boston, MA. https://doi.org/10.1007/978-1-5041-2940-4_29
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DOI: https://doi.org/10.1007/978-1-5041-2940-4_29
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-5041-2942-8
Online ISBN: 978-1-5041-2940-4
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