Applied Numerical Methods for Partial Differential Equations
The aim of this book is to quickly elevate students to a proficiency level where they can solve linear and nonlinear partial differential equations using state-of-the-art numerical methods. It covers numerous topics typically absent in introductory texts on ODEs and PDEs, including: Computing soluti...
Sábháilte in:
| Príomhchruthaitheoir: | |
|---|---|
| Údar corparáideach: | |
| Formáid: | Leictreonach Ríomhleabhar |
| Teanga: | Béarla |
| Foilsithe / Cruthaithe: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2024.
|
| Eagrán: | 1st ed. 2024. |
| Sraith: | Texts in Applied Mathematics,
78 |
| Ábhair: | |
| Rochtain ar líne: | https://doi.org/10.1007/978-3-031-69630-5 |
| Clibeanna: |
Cuir clib leis
Níl clibeanna ann, Bí ar an gcéad duine le clib a chur leis an taifead seo!
|
MARC
| LEADER | 00000nam a22000005i 4500 | ||
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| 100 | 1 | |a Gardner, Carl L. |e author. |0 (orcid)0000-0001-8967-3356 |1 https://orcid.org/0000-0001-8967-3356 |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Applied Numerical Methods for Partial Differential Equations |h [electronic resource] / |c by Carl L. Gardner. |
| 250 | |a 1st ed. 2024. | ||
| 264 | 1 | |a Cham : |b Springer Nature Switzerland : |b Imprint: Springer, |c 2024. | |
| 300 | |a 1 online resource (XXII, 216 p. 76 illus.). |b 75 illus. in color. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 341 | 0 | |b Table of contents navigation |2 onix | |
| 341 | 0 | |b Single logical reading order |2 onix | |
| 341 | 0 | |b Short alternative textual descriptions |2 onix | |
| 341 | 0 | |b Use of colour is Not sole means of conveying information |2 onix | |
| 341 | 0 | |b Use of high contrast between text and background colour |2 onix | |
| 341 | 0 | |b Next / Previous structural navigation |2 onix | |
| 341 | 0 | |b All Non-decorative content supports reading without sight |2 onix | |
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Texts in Applied Mathematics, |x 2196-9949 ; |v 78 | |
| 505 | 0 | |a 1 Overview -- 2 Consistency, Stability, Convergence -- 3 Numerical Methods for ODE IVPs -- 4 Numerical Methods for ODE BVPs -- 5 Overview of PDEs -- 6 Numerical Methods for Parabolic PDEs -- 7 Numerical Methods for Elliptic PDEs -- 8 Numerical Methods for Hyperbolic PDEs -- 9 Numerical Methods for Mixed Type PDEs -- A Useful Mathematical Formulas -- B Norms and Condition Number -- References -- Index . | |
| 520 | |a The aim of this book is to quickly elevate students to a proficiency level where they can solve linear and nonlinear partial differential equations using state-of-the-art numerical methods. It covers numerous topics typically absent in introductory texts on ODEs and PDEs, including: Computing solutions to chaotic dynamical systems with TRBDF2 Simulating the nonlinear diffusion equation with TRBDF2 Applying Newton’s method and GMRES to the nonlinear Laplace equation Analyzing gas dynamics with WENO3 (1D Riemann problems and 2D supersonic jets) Modeling the drift-diffusion equations with TRBDF2 and PCG Solving the classical hydrodynamic model (electro-gas dynamics) with WENO3 and TRBDF2 The book features 34 original MATLAB programs illustrating each numerical method and includes 93 problems that confirm results discussed in the text and explore new directions. Additionally, it suggests eight semester-long projects. This comprehensive text can serve as the basis for a one-semester graduate course on the numerical solution of partial differential equations, or, with some advanced material omitted, for a one-semester junior/senior or graduate course on the numerical solution of ordinary and partial differential equations. The topics and programs will be of interest to applied mathematicians, engineers, physicists, biologists, chemists, and more. . | ||
| 532 | 8 | |a Accessibility summary: This PDF does Not fully comply with PDF/UA standards but does include limited screen reader support, descriptions for Non-text content (such as images and graphs), bookmarks for easy navigation, and searchable, selectable text. Users of assistive technologies may experience difficulty navigating or interpreting content in this document. We recognise the importance of accessibility and welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us via https://www.springernature.com/gp/info/accessibility | |
| 532 | 8 | |a Inaccessible, or known limited accessibility | |
| 532 | 8 | |a No reading system accessibility options actively disabled | |
| 532 | 8 | |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com | |
| 588 | |a Print version record. | ||
| 650 | 0 | |a Difference equations. | |
| 650 | 0 | |a Functional equations. | |
| 650 | 0 | |a Mathematics |x Data processing. | |
| 650 | 0 | |a Dynamics. | |
| 650 | 0 | |a Nonlinear theories. | |
| 650 | 1 | 4 | |a Difference and Functional Equations. |
| 650 | 2 | 4 | |a Computational Mathematics and Numerical Analysis. |
| 650 | 2 | 4 | |a Applied Dynamical Systems. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783031696299 |
| 776 | 0 | 8 | |i Printed edition: |z 9783031696312 |
| 776 | 0 | 8 | |i Printed edition: |z 9783031696329 |
| 830 | 0 | |a Texts in Applied Mathematics, |x 2196-9949 ; |v 78 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-031-69630-5 |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||