000 04083nam a22005655i 4500
001 978-0-8176-4610-3
003 DE-He213
005 20251006084437.0
007 cr nn 008mamaa
008 100301s2008 xxu| s |||| 0|eng d
020 _a9780817646103
020 _a99780817646103
024 7 _a10.1007/978-0-8176-4610-3
_2doi
082 0 4 _a003.3
_223
100 1 _aBellomo, Nicola.
_eeditor.
245 1 0 _aGeneralized Collocation Methods
_h[electronic resource] :
_bSolutions to Nonlinear Problems /
_cedited by Nicola Bellomo, Bertrand Lods, Roberto Revelli, Luca Ridolfi.
264 1 _aBoston, MA :
_bBirkhäuser Boston,
_c2008.
300 _aXII, 196p. 62 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aModeling and Simulation In Science, Engineering and Technology
505 0 _aMathematical Models and Problems in Applied Sciences -- Lagrange and Sinc Collocation Interpolation Methods -- Nonlinear Initial Value Problems in Unbounded Domains -- Nonlinear Initial-Boundary Value Problems in One Space Dimension -- Initial-Boundary Value Problems in Two Space Dimensions -- Additional Mathematical Tools for Nonlinear Problems.
520 _aThis book examines various mathematical tools-based on generalized collocation methods-to solve nonlinear problems related to partial differential and integro-differential equations. Covered are specific problems and models related to vehicular traffic flow, population dynamics, wave phenomena, heat convection and diffusion, transport phenomena, and pollution. Based on a unified approach combining modeling, mathematical methods, and scientific computation, each chapter begins with several examples and problems solved by computational methods; full details of the solution techniques used are given. The last section of each chapter provides problems and exercises giving readers the opportunity to practice using the mathematical tools already presented. Rounding out the work is an appendix consisting of scientific programs in which readers may find practical guidelines for the efficient application of the collocation methods used in the book. Although the authors make use of Mathematica®, readers may use other packages such as MATLAB® or MapleTM depending on their specific needs and software preferences. Generalized Collocation Methods is written for an interdisciplinary audience of graduate students, engineers, scientists, and applied mathematicians with an interest in modeling real-world systems by differential or operator equations. The work may be used as a supplementary textbook in graduate courses on modeling and nonlinear differential equations, or as a self-study handbook for researchers and practitioners wishing to expand their knowledge of practical solution techniques for nonlinear problems.
650 0 _aMATHEMATICS.
650 0 _aDIFFERENTIAL EQUATIONS.
650 0 _aDIFFERENTIAL EQUATIONS, PARTIAL.
650 0 _aCOMPUTER SCIENCE.
650 0 _aMATHEMATICAL PHYSICS.
650 0 _aENGINEERING MATHEMATICS.
650 1 4 _aMATHEMATICS.
650 2 4 _aMATHEMATICAL MODELING AND INDUSTRIAL MATHEMATICS.
650 2 4 _aCOMPUTATIONAL SCIENCE AND ENGINEERING.
650 2 4 _aAPPL.MATHEMATICS/COMPUTATIONAL METHODS OF ENGINEERING.
650 2 4 _aORDINARY DIFFERENTIAL EQUATIONS.
650 2 4 _aPARTIAL DIFFERENTIAL EQUATIONS.
650 2 4 _aMATHEMATICAL METHODS IN PHYSICS.
700 1 _aLods, Bertrand.
_eeditor.
700 1 _aRevelli, Roberto.
_eeditor.
700 1 _aRidolfi, Luca.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780817645250
830 0 _aModeling and Simulation In Science, Engineering and Technology
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-8176-4610-3
_zVer el texto completo en las instalaciones del CICY
912 _aZDB-2-SMA
942 _2ddc
_cER
999 _c59724
_d59724