| 000 | 03917nam a22005775i 4500 | ||
|---|---|---|---|
| 001 | 978-3-031-69630-5 | ||
| 003 | DE-He213 | ||
| 005 | 20251030113239.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 241022s2024 sz | s |||| 0|eng d | ||
| 020 |
_a9783031696305 _9978-3-031-69630-5 |
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| 024 | 7 |
_a10.1007/978-3-031-69630-5 _2doi |
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| 050 | 4 | _aQA431 | |
| 072 | 7 |
_aPBKJ _2bicssc |
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| 072 | 7 |
_aMAT007000 _2bisacsh |
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| 072 | 7 |
_aPBKJ _2thema |
|
| 100 | 1 |
_aGardner, Carl L. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _986401 |
|
| 245 | 1 | 0 |
_aApplied Numerical Methods for Partial Differential Equations _h[electronic resource] / _cby Carl L. Gardner. |
| 250 | _a1st ed. 2024. | ||
| 264 | 1 |
_aCham : _bSpringer Nature Switzerland : _bImprint: Springer, _c2024. |
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| 300 |
_aXXII, 216 p. 76 illus., 75 illus. in color. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
||
| 490 | 1 |
_aTexts in Applied Mathematics, _x2196-9949 ; _v78 |
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| 505 | 0 | _a1 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 | _aThe 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. . | ||
| 650 | 0 |
_aDifference equations. _967184 |
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| 650 | 0 |
_aFunctional equations. _967185 |
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| 650 | 0 |
_aMathematics _xData processing. _965715 |
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| 650 | 0 |
_aDynamics. _965524 |
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| 650 | 0 |
_aNonlinear theories. _965525 |
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| 650 | 1 | 4 |
_aDifference and Functional Equations. _967186 |
| 650 | 2 | 4 |
_aComputational Mathematics and Numerical Analysis. _966073 |
| 650 | 2 | 4 |
_aApplied Dynamical Systems. _965530 |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer Nature eBook | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783031696299 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783031696312 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783031696329 |
| 830 | 0 |
_aTexts in Applied Mathematics, _x2196-9949 ; _v78 _976354 |
|
| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-031-69630-5 |
| 912 | _aZDB-2-SMA | ||
| 912 | _aZDB-2-SXMS | ||
| 999 |
_c64386 _d64386 |
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