Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- 1 Fitting functions to data
- 2 Ordinary differential equations
- 3 Two-point boundary conditions
- 4 Partial differential equations
- 5 Diffusion. Parabolic partial differential equations
- 6 Elliptic problems and iterative matrix solution
- 7 Fluid dynamics and hyperbolic equations
- 8 Boltzmann's equation and its solution
- 9 Energy-resolved diffusive transport
- 10 Atomistic and particle-in-cell simulation
- 11 Monte Carlo techniques
- 12 Monte Carlo radiation transport
- 13 Next steps
- Appendix A Summary of matrix algebra
- References
- Index
- References
References
Published online by Cambridge University Press: 05 May 2015
Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- 1 Fitting functions to data
- 2 Ordinary differential equations
- 3 Two-point boundary conditions
- 4 Partial differential equations
- 5 Diffusion. Parabolic partial differential equations
- 6 Elliptic problems and iterative matrix solution
- 7 Fluid dynamics and hyperbolic equations
- 8 Boltzmann's equation and its solution
- 9 Energy-resolved diffusive transport
- 10 Atomistic and particle-in-cell simulation
- 11 Monte Carlo techniques
- 12 Monte Carlo radiation transport
- 13 Next steps
- Appendix A Summary of matrix algebra
- References
- Index
- References
Summary
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- Information
- A Student's Guide to Numerical Methods , pp. 199 - 200Publisher: Cambridge University PressPrint publication year: 2015
References
, , , et al. (1994), Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods, second edition, SIAM, Philadelphia, which is available at http://www.netlib.org/linalg/htmLtemplates/report.html.Google Scholar
(2014), Data Analysis: Statistical and Computational Methods for Scientists and Engineers, fourth edition, Springer, New York.Google Scholar
and (2006), Numerical Methods for Engineers, fifth edition, or later, McGraw-Hill, New York.Google Scholar
and (2002), Computational Methods for Fluid Dynamics, third edition, Springer, Berlin.Google Scholar
and (1985), A numerical study of various algorithms related to the preconditioned conjugate gradient method, International Journal for Numerical Methods in Engineering 21, 1315–1338.Google Scholar
(1994), Computer Physics Communications 79, 111.
, , and (1975), Progress in development of a Reynolds-stress turbulence closure, Journal of Fluid Mechanics 68, 537–566.Google Scholar
(2002), Finite Volume Methods for Hyperbolic Problems, Cambridge University Press, Cambridge.Google Scholar
(1994), Computer Physics Communications 79, 100.
(1990), Conjugate gradient type methods for indefinite, asymmetric, and complex systemsIMA Journal of Numerical Analysis 10, 155–170.Google Scholar
(1999), Large-eddy simulation: achievements and challenges, Progress in Aerospace Sciences 35, 335–362.Google Scholar
(1985), Numerical Solution of Partial Differential Equations, Oxford University Press, Oxford, p. 275ff.Google Scholar
and (1973, 2008), An Analysis of the Finite Element Method, Reissued by Wellesley-Cambridge Press, Wellesley, MA.Google Scholar