Alebrahim, R.; Thamburaja, P.; Srinivasa, A.; Reddy, J. N. A robust Moore-Penrose pseudoinverse-based static finite-element solver for simulating non-local fracture in solids. (English) Zbl 07644189 Comput. Methods Appl. Mech. Eng. 403, Part A, Article ID 115727, 26 p. (2023). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{R. Alebrahim} et al., Comput. Methods Appl. Mech. Eng. 403, Part A, Article ID 115727, 26 p. (2023; Zbl 07644189) Full Text: DOI
Vitrano, Andrea; Baudouy, Bertrand Double phase transition numerical modeling of superfluid helium for fixed non-uniform grids. (English) Zbl 07699250 Comput. Phys. Commun. 273, Article ID 108275, 16 p. (2022). MSC: 80-XX 76-XX PDFBibTeX XMLCite \textit{A. Vitrano} and \textit{B. Baudouy}, Comput. Phys. Commun. 273, Article ID 108275, 16 p. (2022; Zbl 07699250) Full Text: DOI
Bulut, Fatih; Oruç, Ömer; Esen, Alaattin Higher order Haar wavelet method integrated with strang splitting for solving regularized long wave equation. (English) Zbl 07529442 Math. Comput. Simul. 197, 277-290 (2022). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{F. Bulut} et al., Math. Comput. Simul. 197, 277--290 (2022; Zbl 07529442) Full Text: DOI
Frochte, Jörg Finite element method. A practical introduction to GNU Octave/MATLAB. 2nd updated and expanded edition. (Finite-Elemente-Methode. Eine praxisbezogene Einführung mit GNU Octave/MATLAB.) (German) Zbl 1469.65003 München: Carl Hanser Verlag (ISBN 978-3-446-46915-0/pbk). 364 p. (2021). MSC: 65-01 65M60 65N30 65-04 74-01 74S05 76-01 78-01 80-01 PDFBibTeX XMLCite \textit{J. Frochte}, Finite-Elemente-Methode. Eine praxisbezogene Einführung mit GNU Octave/MATLAB. 2nd updated and expanded edition. München: Carl Hanser Verlag (2021; Zbl 1469.65003)
Lie, Knut-Andreas An introduction to reservoir simulation using MATLAB/GNU Octave. User guide for the MATLAB reservoir simulation toolbox (MRST). (English) Zbl 1425.76001 Cambridge: Cambridge University Press (ISBN 978-1-108-49243-0/hbk; 978-1-108-59141-6/ebook). xvi, 660 p., open access (2019). MSC: 76-01 76M99 76S05 86A05 65Y99 PDFBibTeX XMLCite \textit{K.-A. Lie}, An introduction to reservoir simulation using MATLAB/GNU Octave. User guide for the MATLAB reservoir simulation toolbox (MRST). Cambridge: Cambridge University Press (2019; Zbl 1425.76001) Full Text: DOI
Fortunati, Alessandro; Wiggins, Stephen Transient invariant and quasi-invariant structures in an example of an aperiodically time dependent fluid flow. (English) Zbl 1390.37103 Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 5, Article ID 1830015, 11 p. (2018). MSC: 37J40 76B15 PDFBibTeX XMLCite \textit{A. Fortunati} and \textit{S. Wiggins}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 5, Article ID 1830015, 11 p. (2018; Zbl 1390.37103) Full Text: DOI
Smith, David J. A nearest-neighbour discretisation of the regularized stokeslet boundary integral equation. (English) Zbl 1381.76052 J. Comput. Phys. 358, 88-102 (2018). MSC: 76D07 76M15 76Z99 76-04 PDFBibTeX XMLCite \textit{D. J. Smith}, J. Comput. Phys. 358, 88--102 (2018; Zbl 1381.76052) Full Text: DOI arXiv
Deschner, Stephan C.; Illenseer, Tobias F.; Duschl, Wolfgang J. Self-similar solutions to isothermal shock problems. (English) Zbl 1386.76098 SIAM J. Appl. Math. 78, No. 1, 80-103 (2018). MSC: 76L05 35L67 34A36 85A30 76M55 PDFBibTeX XMLCite \textit{S. C. Deschner} et al., SIAM J. Appl. Math. 78, No. 1, 80--103 (2018; Zbl 1386.76098) Full Text: DOI arXiv
Bean, Maranda; Lipnikov, Konstantin; Yi, Son-Young A block-diagonal preconditioner for a four-field mixed finite element method for Biot’s equations. (English) Zbl 1433.76069 Appl. Numer. Math. 122, 1-13 (2017). MSC: 76M10 76S05 65F08 65M22 65M60 PDFBibTeX XMLCite \textit{M. Bean} et al., Appl. Numer. Math. 122, 1--13 (2017; Zbl 1433.76069) Full Text: DOI
Cuong, Dao Huy; Thanh, Mai Duc A high-resolution van Leer-type scheme for a model of fluid flows in a nozzle with variable cross-section. (English) Zbl 1364.35264 J. Korean Math. Soc. 54, No. 1, 141-175 (2017). MSC: 35Q35 35L65 76N10 76L05 76J20 65M06 PDFBibTeX XMLCite \textit{D. H. Cuong} and \textit{M. D. Thanh}, J. Korean Math. Soc. 54, No. 1, 141--175 (2017; Zbl 1364.35264) Full Text: DOI Link
Vuorinen, V.; Keskinen, K. DNSLab: a gateway to turbulent flow simulation in Matlab. (English) Zbl 1375.76073 Comput. Phys. Commun. 203, 278-289 (2016). MSC: 76F65 76-04 76M22 PDFBibTeX XMLCite \textit{V. Vuorinen} and \textit{K. Keskinen}, Comput. Phys. Commun. 203, 278--289 (2016; Zbl 1375.76073) Full Text: DOI
Vogeltanz, Tomáš A survey of free software for the design, analysis, modelling, and simulation of an unmanned aerial vehicle. (English) Zbl 1360.76012 Arch. Comput. Methods Eng. 23, No. 3, 449-514 (2016). MSC: 76-04 93-04 74-04 PDFBibTeX XMLCite \textit{T. Vogeltanz}, Arch. Comput. Methods Eng. 23, No. 3, 449--514 (2016; Zbl 1360.76012) Full Text: DOI Link
Kassiénou, Lamien; Longin, Some; Mamadou, Ouedraogo Using the adaptive mesh finite volume method to solve three test problems. (English) Zbl 1360.65223 Far East J. Appl. Math. 95, No. 4, 283-310 (2016). MSC: 65M08 35L65 35Q53 76N15 65M50 PDFBibTeX XMLCite \textit{L. Kassiénou} et al., Far East J. Appl. Math. 95, No. 4, 283--310 (2016; Zbl 1360.65223) Full Text: DOI
Nakamura, Gen; Potthast, Roland Inverse modeling. An introduction to the theory and methods of inverse problems and data assimilation. (English) Zbl 1346.65029 Bristol: IOP Publishing (ISBN 978-0-7503-1219-6/hbk; 978-0-7503-1218-9/ebook). not consecutively paged. (2015). Reviewer: Bernd Hofmann (Chemnitz) MSC: 65J22 65-02 47A52 65M32 00A71 62-07 35R30 45Q05 65J20 65J10 65J15 76Q05 78A40 86A05 92C55 62K99 PDFBibTeX XMLCite \textit{G. Nakamura} and \textit{R. Potthast}, Inverse modeling. An introduction to the theory and methods of inverse problems and data assimilation. Bristol: IOP Publishing (2015; Zbl 1346.65029) Full Text: DOI
Vázquez-Cendón, M. Elena Solving hyperbolic equations with finite volume methods. Translated from the Italian by Luz María García-García and Marcos Cobas-García. (English) Zbl 1319.65086 Unitext 90. La Matematica per il 3+2. Cham: Springer (ISBN 978-3-319-14783-3/pbk; 978-3-319-14784-0/ebook). xvii, 188 p. (2015). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65M08 65-02 35L40 35L45 35L60 35L65 76B15 76M12 35Q53 35Q35 PDFBibTeX XMLCite \textit{M. E. Vázquez-Cendón}, Solving hyperbolic equations with finite volume methods. Translated from the Italian by Luz María García-García and Marcos Cobas-García. Cham: Springer (2015; Zbl 1319.65086) Full Text: DOI
Hutchinson, Ian H. A student’s guide to numerical methods. (English) Zbl 1322.65001 Cambridge: Cambridge University Press (ISBN 978-1-107-09567-0/hbk; 978-1-107-47950-0/pbk; 978-1-316-15551-6/ebook). xiv, 207 p. (2015). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 65-01 34-01 35-01 00A06 00A79 35Qxx 65Z05 65Lxx 65Mxx 65Nxx 65C05 82-01 76-01 PDFBibTeX XMLCite \textit{I. H. Hutchinson}, A student's guide to numerical methods. Cambridge: Cambridge University Press (2015; Zbl 1322.65001) Full Text: DOI
Dunca, Argus A.; Lewandowski, Roger Modeling error in approximate deconvolution models. (English) Zbl 1303.35055 Commun. Math. Sci. 12, No. 4, 757-778 (2014). MSC: 35Q30 76D03 76D05 76F65 PDFBibTeX XMLCite \textit{A. A. Dunca} and \textit{R. Lewandowski}, Commun. Math. Sci. 12, No. 4, 757--778 (2014; Zbl 1303.35055) Full Text: DOI arXiv
Elman, Howard C.; Silvester, David J.; Wathen, Andrew J. Finite elements and fast iterative solvers. With applications in incompressible fluid dynamics. 2nd ed. (English) Zbl 1304.76002 Numerical Mathematics and Scientific Computation. Oxford: Oxford University Press (ISBN 978-0-19-967879-2/hbk; 978-0-19-967880-8/pbk). xiv, 479 p. (2014). Reviewer: Adrian Carabineanu (Bucureşti) MSC: 76-02 76M10 76D05 76D07 76R99 65F10 PDFBibTeX XMLCite \textit{H. C. Elman} et al., Finite elements and fast iterative solvers. With applications in incompressible fluid dynamics. 2nd ed. Oxford: Oxford University Press (2014; Zbl 1304.76002) Full Text: DOI
Liu, Lei; van Dijk, J.; ten Thije Boonkkamp, J. H. M.; Mihailova, D. B.; van der Mullen, J. J. A. M. The complete flux scheme – error analysis and application to plasma simulation. (English) Zbl 1285.65055 J. Comput. Appl. Math. 250, 229-243 (2013). MSC: 65M06 65M15 76X05 PDFBibTeX XMLCite \textit{L. Liu} et al., J. Comput. Appl. Math. 250, 229--243 (2013; Zbl 1285.65055) Full Text: DOI
Marras, S.; Kelly, J. F.; Giraldo, F. X.; Vázquez, M. Variational multiscale stabilization of high-order spectral elements for the advection-diffusion equation. (English) Zbl 1284.65119 J. Comput. Phys. 231, No. 21, 7187-7213 (2012). MSC: 65M12 65M70 35Q35 76R50 PDFBibTeX XMLCite \textit{S. Marras} et al., J. Comput. Phys. 231, No. 21, 7187--7213 (2012; Zbl 1284.65119) Full Text: DOI
Novaresio, Valerio; García-Camprubí, María; Izquierdo, Salvador; Asinari, Pietro; Fueyo, Norberto An open-source library for the numerical modeling of mass-transfer in solid oxide fuel cells. (English) Zbl 1264.78002 Comput. Phys. Commun. 183, No. 1, 125-146 (2012). MSC: 78-04 76-04 76S05 76N15 80A20 PDFBibTeX XMLCite \textit{V. Novaresio} et al., Comput. Phys. Commun. 183, No. 1, 125--146 (2012; Zbl 1264.78002) Full Text: DOI Link
Onu, Kristjan; Namachchivaya, N. Sri Stochastically forced water waves in a circular basin. (English) Zbl 1194.35466 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 466, No. 2120, 2363-2381 (2010). MSC: 35Q84 76B15 76M35 PDFBibTeX XMLCite \textit{K. Onu} and \textit{N. S. Namachchivaya}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 466, No. 2120, 2363--2381 (2010; Zbl 1194.35466) Full Text: DOI
Gheorghiu, C. I.; Dragomirescu, Florica-Ioana Spectral methods in linear stability. Applications to thermal convection with variable gravity field. (English) Zbl 1160.76036 Appl. Numer. Math. 59, No. 6, 1290-1302 (2009). MSC: 76M22 76E06 76R10 80A20 PDFBibTeX XMLCite \textit{C. I. Gheorghiu} and \textit{F.-I. Dragomirescu}, Appl. Numer. Math. 59, No. 6, 1290--1302 (2009; Zbl 1160.76036) Full Text: DOI
McBain, G. D.; Chubb, T. H.; Armfield, S. W. Numerical solution of the Orr-Sommerfeld equation using the viscous Green function and split-Gaussian quadrature. (English) Zbl 1157.65433 J. Comput. Appl. Math. 224, No. 1, 397-404 (2009). MSC: 65L15 34L16 76E05 PDFBibTeX XMLCite \textit{G. D. McBain} et al., J. Comput. Appl. Math. 224, No. 1, 397--404 (2009; Zbl 1157.65433) Full Text: DOI
Logg, Anders Automating the finite element method. (English) Zbl 1158.74048 Arch. Comput. Methods Eng. 14, No. 2, 93-138 (2007). Reviewer: Nicolae Pop (Baia Mare) MSC: 74S05 76M10 74-02 76-02 PDFBibTeX XMLCite \textit{A. Logg}, Arch. Comput. Methods Eng. 14, No. 2, 93--138 (2007; Zbl 1158.74048) Full Text: DOI arXiv
McBain, G. D.; Armfield, S. W. Natural convection in a vertical slot: accurate solution of the linear stability equations. (English) Zbl 1101.76388 ANZIAM J. 45C, Proc. 2003, C92-C105 (2004). MSC: 76R10 PDFBibTeX XMLCite \textit{G. D. McBain} and \textit{S. W. Armfield}, ANZIAM J. 45C, C92--C105 (2004; Zbl 1101.76388)
Sethian, J. A. Level set methods and fast marching methods. Evolving interfaces in computational geometry, fluid mechanics, computer vision, and materials science. (English) Zbl 0973.76003 Cambridge Monographs on Applied and Computational Mathematics. 3. Cambridge: Cambridge University Press. xx, 378 p. (1999). MSC: 76-02 76M25 68U05 PDFBibTeX XMLCite \textit{J. A. Sethian}, Level set methods and fast marching methods. Evolving interfaces in computational geometry, fluid mechanics, computer vision, and materials science. Cambridge: Cambridge University Press (1999; Zbl 0973.76003)