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- catalog abstract "The book deals with the numerical approximation of various PDEs using the spectral element method, with particular emphasis for elliptic equations dominated by first-order terms. It provides a simple introduction to spectral elements with additional new tools (upwind grids and preconditioners). Applications to fluid dynamics and semiconductor devices are considered, as well as in other models were transport-diffusion equations arise. The aim is to provide the reader with both introductive and more advanced material on spectral Legendre collocation methods. The book however does not cover all the aspects of spectral methods. Engineers, physicists and applied mathematicians may study how to implement the collocation method and use the results to improve their computational codes.".
- catalog contributor b11250843.
- catalog created "c1997.".
- catalog date "1997".
- catalog date "c1997.".
- catalog dateCopyrighted "c1997.".
- catalog description "From the contents: The Poisson equation in the square -- Steady transport-diffusion equations -- Other kinds of boundary conditions -- The spectral element method -- Time discretization -- Extensions -- Appendix -- References -- Index.".
- catalog description "Includes bibliographical references (p. [197]-208) and index.".
- catalog description "The book deals with the numerical approximation of various PDEs using the spectral element method, with particular emphasis for elliptic equations dominated by first-order terms. It provides a simple introduction to spectral elements with additional new tools (upwind grids and preconditioners). Applications to fluid dynamics and semiconductor devices are considered, as well as in other models were transport-diffusion equations arise. The aim is to provide the reader with both introductive and more advanced material on spectral Legendre collocation methods. The book however does not cover all the aspects of spectral methods. Engineers, physicists and applied mathematicians may study how to implement the collocation method and use the results to improve their computational codes.".
- catalog extent "x, 211 p. :".
- catalog identifier "3540626492 (acid-free paper)".
- catalog isPartOf "Lecture notes in computational science and engineering ; 1".
- catalog issued "1997".
- catalog issued "c1997.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer-Verlag,".
- catalog subject "515/.353 21".
- catalog subject "Approximation theory.".
- catalog subject "Differential equations, Partial Numerical solutions.".
- catalog subject "Engineering.".
- catalog subject "Mathematics.".
- catalog subject "Numerical analysis.".
- catalog subject "Physics.".
- catalog subject "QA377 .F85 1997".
- catalog subject "Spectral theory (Mathematics)".
- catalog subject "Thermodynamics.".
- catalog tableOfContents "From the contents: The Poisson equation in the square -- Steady transport-diffusion equations -- Other kinds of boundary conditions -- The spectral element method -- Time discretization -- Extensions -- Appendix -- References -- Index.".
- catalog title "Spectral elements for transport-dominated equations / Daniele Funaro.".
- catalog type "text".