Book contents
- Frontmatter
- Contents
- Preface
- 1 Types and sources of numerical error
- 2 Systems of linear equations
- 3 Probability and statistics
- 4 Hypothesis testing
- 5 Root-finding techniques for nonlinear equations
- 6 Numerical quadrature
- 7 Numerical integration of ordinary differential equations
- 8 Nonlinear model regression and optimization
- 9 Basic algorithms of bioinformatics
- Appendix A Introduction to MATLAB
- Appendix B Location of nodes for Gauss–Legendre quadrature
- Index for MATLAB commands
- Index
- References
6 - Numerical quadrature
Published online by Cambridge University Press: 05 June 2012
Book contents
- Frontmatter
- Contents
- Preface
- 1 Types and sources of numerical error
- 2 Systems of linear equations
- 3 Probability and statistics
- 4 Hypothesis testing
- 5 Root-finding techniques for nonlinear equations
- 6 Numerical quadrature
- 7 Numerical integration of ordinary differential equations
- 8 Nonlinear model regression and optimization
- 9 Basic algorithms of bioinformatics
- Appendix A Introduction to MATLAB
- Appendix B Location of nodes for Gauss–Legendre quadrature
- Index for MATLAB commands
- Index
- References
Summary
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- Chapter
- Information
- Numerical and Statistical Methods for BioengineeringApplications in MATLAB, pp. 354 - 408Publisher: Cambridge University PressPrint publication year: 2010
References
and (1965) Handbook of Mathematical Functions (Mineola, NY: Dover Publications, Inc.).Google Scholar
and (1974) Restricted Transport in Small Pores. A Model for Steric Exclusion and Hindered Particle Motion. Biophys. J., 14, 130–50.CrossRefGoogle ScholarPubMed
, , et al. (2000) Effects of Intrathecal Morphine on the Ventilatory Response to Hypoxia. N. Engl. J. Med., 343, 1228–34.CrossRefGoogle ScholarPubMed
and (1977) Constrained Brownian-Movement of Spherical-Particles in Cylindrical Pores of Comparable Radius – Models of Diffusive and Convective Transport of Solute Molecules in Membranes and Porous-Media. J. Colloid Interface Sci., 58, 312–56.CrossRefGoogle Scholar
(1987) Hindered Transport of Large Molecules in Liquid-Filled Pores. Aiche J., 33, 1409–25.CrossRefGoogle Scholar
(2000) Numerical Methods with Matlab Implementation and Application (Upper Saddle River, NJ: Prentice Hall).Google Scholar
and (2003) The Shape of the FMRI Bold Response in Children and Adults Changes Systematically with Age. Neuroimage, 20, 1122–31.CrossRefGoogle ScholarPubMed
and (1983) Electrostatic Effects on the Partitioning of Spherical Colloids between Dilute Bulk Solution and Cylindrical Pores. J. Colloid Interface Sci., 91, 571–90.CrossRefGoogle Scholar