Blinkov, Yu. A.; Rebrina, A. Yu. Investigation of difference schemes for two-dimensional Navier-Stokes equations by using computer algebra algorithms. (English. Russian original) Zbl 1523.35239 Program. Comput. Softw. 49, No. 1, 26-31 (2023); translation from Programmirovanie 49, No. 1, 32-37 (2023). MSC: 35Q30 76D05 65M06 65N06 76M20 68W30 13P10 PDFBibTeX XMLCite \textit{Yu. A. Blinkov} and \textit{A. Yu. Rebrina}, Program. Comput. Softw. 49, No. 1, 26--31 (2023; Zbl 1523.35239); translation from Programmirovanie 49, No. 1, 32--37 (2023) Full Text: DOI
Gerdt, Vladimir P.; Robertz, Daniel Consistency of finite difference approximations for linear PDE systems and its algorithmic verification. (English) Zbl 1321.65161 Watt, Stephen M. (ed.), Proceedings of the 35th international symposium on symbolic and algebraic computation, ISSAC 2010, Munich, Germany, July 25–28, 2010. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-0150-3). 53-59 (2010). MSC: 65N06 13P10 35C05 68W30 PDFBibTeX XMLCite \textit{V. P. Gerdt} and \textit{D. Robertz}, in: Proceedings of the 35th international symposium on symbolic and algebraic computation, ISSAC 2010, Munich, Germany, July 25--28, 2010. New York, NY: Association for Computing Machinery (ACM). 53--59 (2010; Zbl 1321.65161) Full Text: DOI
Blinkov, Yu. A.; Mozzhilkin, V. V. Generation of difference schemes for the Burgers equation by constructing Gröbner bases. (English. Russian original) Zbl 1101.65086 Program. Comput. Softw. 32, No. 2, 114-117 (2006); translation from Programmirovanie 32, No. 2, 71-74 (2006). MSC: 65M06 35Q53 13P10 PDFBibTeX XMLCite \textit{Yu. A. Blinkov} and \textit{V. V. Mozzhilkin}, Program. Comput. Softw. 32, No. 2, 114--117 (2006; Zbl 1101.65086); translation from Programmirovanie 32, No. 2, 71--74 (2006) Full Text: DOI
Gerdt, Vladimir P.; Blinkov, Yuri A.; Mozzhilkin, Vladimir V. Gröbner bases and generation of difference schemes for partial differential equations. (English) Zbl 1094.68125 SIGMA, Symmetry Integrability Geom. Methods Appl. 2, Paper 051, 26 p. (2006). MSC: 68W30 65M06 13P10 39A05 65Q05 PDFBibTeX XMLCite \textit{V. P. Gerdt} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 2, Paper 051, 26 p. (2006; Zbl 1094.68125) Full Text: DOI arXiv EuDML EMIS