Introduction to Partial Differential Equations [electronic resource] : A Computational Approach / by Aslak Tveito, Ragnar Winther ; edited by J.E. Marsden, L. Sirovich, M. Golubitsky, W. Jäger.
Contributor(s): Winther, Ragnar [author.] | Marsden, J.E [editor.] | Sirovich, L [editor.] | Golubitsky, M [editor.] | Jäger, W [editor.] | SpringerLink (Online service)Material type: TextSeries: Texts in Applied Mathematics: 29Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005Description: XVI, 394 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540267409Subject(s): Mathematics | Mathematical analysis | Analysis (Mathematics) | Partial differential equations | Computer mathematics | Mathematics | Analysis | Partial Differential Equations | Computational Science and EngineeringAdditional physical formats: Printed edition:: No titleDDC classification: 515 LOC classification: QA299.6-433Online resources: Click here to access online
|Item type||Current location||Collection||Call number||Status||Date due||Barcode||Item holds|
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.
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.