Introduction to discretisation methods

• R. J. LeVeque, Finite difference methods for ordinary and partial differential equations, SIAM (Society for Industral and Applied Mathematics), 2007 E-version
• J.H. Ferziger, M. Perić, Computational Methods for Fluid Dynamics, 3rd edition, Springer, 2002 E-version
• J.Y. Murthy, Numerical Methods in Heat, Mass, and Momentum Transfer, Notes on Higher-Order Schemes, Purdue University, 2002 E-version
• O.C. Zienkiewicz, R.L. Taylor, J.Z. Zhu, The Finite Element Method, 7th edition, Butterworth-Heinemann, 2013 1 Catalogue 2 Catalogue 3 Catalogue E-version
• L.C. Wrobel, M.H. Aliabadi, The Boundary Element Method, Wiley, 2002 1 Catalogue 2 Catalogue
• A.J. Nowak (Ed.). Numerical methods in heat transfer, (International studies in science and engineering, 11). Gliwice: Institute of Thermal Technology, Silesian University of Technology; Clausthal-Zellerfeld: Papierflieger, 2009 Catalogue
• B. A. Finlayson, The Method of Weighted Residuals and Variational Principles, Academic Press, 1972
• C.J. Roy, Review of code and solution verification procedures for computational simulation, Journal of Computational Physics 205 (2005), 131–156 https://doi.org/10.1016/j.jcp.2004.10.036 E-version
• R. Barrett et al., Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods, section 4.2: Stopping Criteria, SIAM (Soc. for Industral and Applied Mathematics), 1994.