MARC View

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008			101130t2011 flua f b 001 f eng d
020			_a9781439813546
020			_a143981354X
039		9	_a201107131838 _bVLOAD _c201106301028 _dfauzi _y201011301134 _zshah
040			_aUMP
090			_aTJ260 .H43 2011
245	0	0	_aHeat conduction using Green's functions / _cKevin D. Cole ... [et al.]
250			_a2nd ed.
260			_aBoca Raton : _bCRC Press, _cc2011
300			_axx, 643 p. : _bill. ; _c25 cm.
490	1		_aSeries in computational and physical processes in mechanics and thermal sciences
504			_aIncludes bibliographical references and indexes
505	0		_aIntroduction to Green’s functions -- Numbering system in heat conduction -- Derivation of the Green’s function solution equation -- Methods for obtaining Green’s functions -- Improvement of convergence and intrinsic verification -- Rectangular coordinates -- Cylindrical coordinates -- Radial heat flow in spherical coordinates -- Steady-periodic heat conduction -- Galerkin-based Green’s functions and solutions -- Applications of the Galerkin-based Green’s functions -- Unsteady surface element method
520			_a"Since its publication more than 15 years ago, Heat Conduction Using Green’s Functions has become the consummate heat conduction treatise from the perspective of Green’s functions - and the newly revised Second Edition is poised to take its place. Based on the authors’ own research and classroom experience with the material, this book organizes the solution of heat conduction and diffusion problems through the use of Green’s functions, making these valuable principles more accessible. As in the first edition, this book applies extensive tables of Green’s functions and related integrals, and all chapters have been updated and revised for the second edition, many extensively. The book reflects the authors’ conviction that although Green’s functions were discovered in the nineteenth century, they remain directly relevant to 21st-century engineers and scientists. It chronicles the authors’ continued search for new GFs and novel ways to apply them to heat conduction. New features of this latest edition include: expanding the introduction to Green’s functions, both steady and unsteady; adding a section on the Dirac Delta Function; including a discussion of the eigenfunction expansion method, as well as sections on the convergence speed of series solutions, and the importance of alternate GF; and adding a section on intrinsic verification, an important new tool for obtaining correct numerical values from analytical solutions. A main goal of the first edition was to make GFs more accessible. To facilitate this objective, one of the authors has created a companion Internet site called the Green’s Function Library, a web-searchable collection of GFs. Based on the appendices in this book, this library is organized by differential equation, geometry, and boundary condition. Each GF is also identified and cataloged according to a GF numbering system. The library also contains explanatory material, references, and links to related sites, all of which supplement the value of Heat Conduction Using Green’s Functions, Second Edition as a powerful tool for understanding."--Publisher’s description
650		0	_aHeat _xConduction _xMathematics
650		0	_aGreen's functions
650		0	_aHeat _xTransmission
700	1		_aCole, K. D.
830		0	_aSeries in computational and physical processes in mechanics and thermal sciences
999			_aVIRTUA40 _c30354 _d30360
999			_aVTLSSORT0080020002010400090024502500260030004900504050505200650065016502700083009991