Introduction to Partial Differential Equations
A Computational Approach
Tveito, Aslak.
creator
author.
aut
http://id.loc.gov/vocabulary/relators/aut
Winther, Ragnar.
author.
aut
http://id.loc.gov/vocabulary/relators/aut
Marsden, J.E.
editor.
edt
http://id.loc.gov/vocabulary/relators/edt
Sirovich, L.
editor.
edt
http://id.loc.gov/vocabulary/relators/edt
Golubitsky, M.
editor.
edt
http://id.loc.gov/vocabulary/relators/edt
Jäger, W.
editor.
edt
http://id.loc.gov/vocabulary/relators/edt
SpringerLink (Online service)
text
gw
2005
monographic
eng
access
XVI, 394 p. online resource.
Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the cl- sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Ma- ematical Sciences (AMS) series, which will focus on advanced textbooks and research-level monographs. Preface "It is impossible to exaggerate the extent to which modern applied mathematics has been shaped and fueled by the g- eral availability of fast computers with large memories. Their impact on mathematics, both applied and pure, is comparable to the role of the telescopes in astronomy and microscopes in biology." — Peter Lax, Siam Rev. Vol. 31 No. 4 Congratulations! You have chosen to study partial differential equations.
Setting the Scene -- Two-Point Boundary Value Problems -- The Heat Equation -- Finite Difference Schemes for the Heat Equation -- The Wave Equation -- Maximum Principles -- Poisson's Equation in Two Space Dimensions -- Orthogonality and General Fourier Series -- Convergence of Fourier Series -- The Heat Equation Revisited -- Reaction-Diffusion Equations -- Applications of the Fourier Transform.
by Aslak Tveito, Ragnar Winther ; edited by J.E. Marsden, L. Sirovich, M. Golubitsky, W. Jäger.
Global analysis (Mathematics)
Differential equations, partial
Computer science
Analysis
Partial Differential Equations
Computational Science and Engineering
QA299.6-433
515
Springer eBooks
Texts in Applied Mathematics, 29
9783540267409
https://doi.org/10.1007/b138016
https://doi.org/10.1007/b138016
ISI Library, Kolkata
100301
20181203160147.0
978-3-540-26740-9