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The Resource A student's guide to numerical methods, Ian H. Hutchinson, Massachusetts Institute of Technology

A student's guide to numerical methods, Ian H. Hutchinson, Massachusetts Institute of Technology

Label
A student's guide to numerical methods
Title
A student's guide to numerical methods
Statement of responsibility
Ian H. Hutchinson, Massachusetts Institute of Technology
Creator
Author
Subject
Language
eng
Cataloging source
DLC
Dewey number
518
Illustrations
illustrations
Index
index present
LC call number
QA39.3
LC item number
.H92 2015
Literary form
non fiction
Nature of contents
bibliography
Label
A student's guide to numerical methods, Ian H. Hutchinson, Massachusetts Institute of Technology
Instantiates
Publication
Copyright
Bibliography note
Includes bibliographical references (pages 199-200) and index
Carrier category
volume
Carrier MARC source
rdacarrier
Content category
text
Content type MARC source
rdacontent
Contents
pt. I. Fitting functions to data. Exact fitting ; Approximate fitting ; Tomographic image reconstruction ; Efficiency and non-linearity -- pt. II. Ordinary differential equations. Reduction to first order ; Numerical integration of initial-value problems ; Multidimensional stiff equations: implicit schemes ; Leap-frog schemes -- pt. III. Two-point boundary conditions. Examples of two-point problems ; Shooting ; Direct solution ; Conservative differences, finite volumes -- pt. IV. Partial differential equations. Examples of partial differential equations ; Classification of partial differential equations ; Finite-difference partial derivatives -- pt. V. Diffusion. parabolic partial differential equations. Diffusion equations ; Time-advance choices and stability ; Implicit advancing matrix method ; Multiple space dimensions ; Estimating computational cost -- pt. VI. Elliptic problems and iterative matrix solution. Elliptic equations and matrix inversion ; Convergence rate ; Successive over-relaxation ; Iteration and non-linear equations -- pt. VII. Fluid dynamics and hyperbolic equations. The fluid momentum equation ; Hyperbolic equations ; Finite differences and stability -- pt. VIII. Boltzmann's equation and its solution. The distribution function ; Conservation of particles in phase-space ; Solving the hyperbolic Boltzmann equation ; Collision term -- pt. IX. Energy-resolved diffusive transport. Collisions of neutrons ; Reduction to multigroup diffusion equations ; Numerical representation of multigroup equations -- pt. X. Atomistic and particle-in-cell simulation. Atomistic simulation ; Particle-in-cell codes -- pt. XI. Monte Carlo techniques. Probability and statistics ; Computational random selection ; Flux integration and injection choice -- pt. XII. Monte Carlo radiation transport. Transport and collisions ; Tracking, tallying, and statistical uncertainty -- pt. XIII. Next steps. Finite-element methods ; Discrete Fourier analysis and spectral methods ; Sparse-matrix iterative Krylov solution ; Fluid evolution schemes -- Appendix A. Summary of matrix algebra. Vector and matrix multiplication ; Determinants ; Inverses ; Eigenanalysis
Dimensions
24 cm
Extent
xiv, 207 pages
Isbn
9781107479500
Isbn Type
(pbk.)
Lccn
2014043961
Media category
unmediated
Media MARC source
rdamedia
Other physical details
illustrations
System control number
(OCoLC)897632430
Label
A student's guide to numerical methods, Ian H. Hutchinson, Massachusetts Institute of Technology
Publication
Copyright
Bibliography note
Includes bibliographical references (pages 199-200) and index
Carrier category
volume
Carrier MARC source
rdacarrier
Content category
text
Content type MARC source
rdacontent
Contents
pt. I. Fitting functions to data. Exact fitting ; Approximate fitting ; Tomographic image reconstruction ; Efficiency and non-linearity -- pt. II. Ordinary differential equations. Reduction to first order ; Numerical integration of initial-value problems ; Multidimensional stiff equations: implicit schemes ; Leap-frog schemes -- pt. III. Two-point boundary conditions. Examples of two-point problems ; Shooting ; Direct solution ; Conservative differences, finite volumes -- pt. IV. Partial differential equations. Examples of partial differential equations ; Classification of partial differential equations ; Finite-difference partial derivatives -- pt. V. Diffusion. parabolic partial differential equations. Diffusion equations ; Time-advance choices and stability ; Implicit advancing matrix method ; Multiple space dimensions ; Estimating computational cost -- pt. VI. Elliptic problems and iterative matrix solution. Elliptic equations and matrix inversion ; Convergence rate ; Successive over-relaxation ; Iteration and non-linear equations -- pt. VII. Fluid dynamics and hyperbolic equations. The fluid momentum equation ; Hyperbolic equations ; Finite differences and stability -- pt. VIII. Boltzmann's equation and its solution. The distribution function ; Conservation of particles in phase-space ; Solving the hyperbolic Boltzmann equation ; Collision term -- pt. IX. Energy-resolved diffusive transport. Collisions of neutrons ; Reduction to multigroup diffusion equations ; Numerical representation of multigroup equations -- pt. X. Atomistic and particle-in-cell simulation. Atomistic simulation ; Particle-in-cell codes -- pt. XI. Monte Carlo techniques. Probability and statistics ; Computational random selection ; Flux integration and injection choice -- pt. XII. Monte Carlo radiation transport. Transport and collisions ; Tracking, tallying, and statistical uncertainty -- pt. XIII. Next steps. Finite-element methods ; Discrete Fourier analysis and spectral methods ; Sparse-matrix iterative Krylov solution ; Fluid evolution schemes -- Appendix A. Summary of matrix algebra. Vector and matrix multiplication ; Determinants ; Inverses ; Eigenanalysis
Dimensions
24 cm
Extent
xiv, 207 pages
Isbn
9781107479500
Isbn Type
(pbk.)
Lccn
2014043961
Media category
unmediated
Media MARC source
rdamedia
Other physical details
illustrations
System control number
(OCoLC)897632430

Library Locations

    • Harold B. Lee Library Brigham Young University, Provo, UT, 84602, US
      40.249156 -111.649242
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