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Numerical methods for partial differential equations /
Numerical Methods for Partial Differential Equations.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York :
Academic Press,
1977.
|
| Edición: | 2nd ed. |
| Colección: | Computer science and applied mathematics.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 003 | OCoLC | ||
| 005 | 20231117044509.0 | ||
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| 020 | |a 1483262421 |q (electronic bk.) | ||
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| 070 | 0 | |a QA374 |b .A46 1977 | |
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| 072 | 7 | |a MAT |x 034000 |2 bisacsh | |
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| 084 | |a SK 910 |2 rvk | ||
| 084 | |a SK 920 |2 rvk | ||
| 084 | |a SK 540 |2 rvk | ||
| 084 | |a MAT 671f |2 stub | ||
| 100 | 1 | |a Ames, William F. | |
| 245 | 1 | 0 | |a Numerical methods for partial differential equations / |c William F. Ames. |
| 250 | |a 2nd ed. | ||
| 260 | |a New York : |b Academic Press, |c 1977. | ||
| 300 | |a 1 online resource (xiv, 365 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Computer science and applied mathematics | |
| 506 | |3 Use copy |f Restrictions unspecified |2 star |5 MiAaHDL | ||
| 533 | |a Electronic reproduction. |b [Place of publication not identified] : |c HathiTrust Digital Library, |d 2010. |5 MiAaHDL | ||
| 538 | |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |u http://purl.oclc.org/DLF/benchrepro0212 |5 MiAaHDL | ||
| 583 | 1 | |a digitized |c 2010 |h HathiTrust Digital Library |l committed to preserve |2 pda |5 MiAaHDL | |
| 588 | 0 | |a Print version record. | |
| 504 | |a Includes bibliographical references and indexes. | ||
| 505 | 0 | |a Front Cover; Numerical Methods for Partial Differential Equations; Copyright Page; Dedication; Table of Contents; Preface to second edition; Preface to first edition; Chapter 1. Fundamentals; 1-0 Introduction; 1-1 Classification of physical problems; 1-2 Classification of equations; 1-3 Asymptotics; 1-4 Discrete methods; 1-5 Finite differences and computational molecules; 1-6 Finite difference operators; 1 -7 Errors; 1-8 Stability and convergence; 1-9 I rregular boundaries; 1-10 Choice of discrete network; 1-11 Dimensionless forms; REFERENCES; Chapter 2. Parabolic equations; 2-0 Introduction. | |
| 505 | 8 | |a 2-1 Simple explicit methods2-2 Fourier stability method; 2-3 Implicit methods; 2-4 An unconditionally unstable difference equation; 2-5 Matrix stability analysis; 2-6 Extension of matrix stability analysis; 2-7 Consistency, stability, and convergence; 2-8 Pure initial value problems; 2-9 Variable coefficients; 2-10 Examples of equations with variable coefficients; 2-11 General concepts of error reduction; 2-12 Explicit methods for nonlinear problems; 2-13 An application of the explicit method; 2-14 Implicit methods for nonlinear problems; 2-15 Concluding remarks; REFERENCES. | |
| 505 | 8 | |a Chapter 3. Elliptic equations3-0 Introduction; 3-1 Simple finite difference schemes; 3-2 Iterative methods; 3-3 Linear elliptic equations; 3-4 Some point iterative methods; 3-5 Convergence of point iterative methods; 3-6 Rates of convergence; 3-7 Accelerations-successive over-relaxation (SOR); 3-8 Extensions of SOR; 3-9 Qualitative examples of over-relaxation; 3-10 Other point iterative methodsf; 3-11 Block iterative methods; 3-12 Alternating direction methods; 3-13 Summary of ADI results; 3-14 Some nonlinear examples; REFERENCES; Chapter 4. Hyperbolic equations; 4-0 Introduction. | |
| 505 | 8 | |a 4-1 The quasilinear system4-2 Introductory examples; 4-3 Method of characteristics; 4-4 Constant states and simple waves; 4-5 Typical application of characteristics; 4-6 Explicit finite difference methods; 4-7 Overstability; 4-8 Implicit methods for second-order equations; 4-9 Nonlinear examples; 4-10 Simultaneous first-order equations-explicit methods; 4-11 An implicit method for first-order equations; 4-11 An implicit method for first-order equations; 4-13 Gas dynamics in one-space variable; 4-14 Eulerian difference equations; 4-15 Lagrangian difference equations. | |
| 505 | 8 | |a 4-15 Lagrangian difference equations4-16 Hopscotch methods for conservation laws; 4-17 Explicit-implicit schemes for conservation laws; REFERENCES; Chapter 5. Special topics; 5-0 Introduction; 5-1 Singularities; 5-2 Shocks; 5-3 Eigenvalue problems; 5-4 Parabolic equations in several space variables; 5-5 Additional comments on elliptic equations; 5-6 Hyperbolic equations in higher dimensions; 5-7 Mixed systems; 5-8 Higher-order equations in elasticity and vibrations; 5-9 Fluid mechanics: the Navier-Stokes equations; 5-10 Introduction to Monte Carlo methods; 5-11 Method of lines; 5-12 Fast Fourier transform and applications. | |
| 520 | |a Numerical Methods for Partial Differential Equations. | ||
| 546 | |a English. | ||
| 650 | 0 | |a Differential equations, Partial |x Numerical solutions. | |
| 650 | 6 | |a �Equations aux d�eriv�ees partielles |x Solutions num�eriques. |0 (CaQQLa)201-0041240 | |
| 650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 7 | |a Differential equations, Partial |x Numerical solutions. |2 fast |0 (OCoLC)fst00893488 | |
| 650 | 7 | |a Numerische Mathematik |2 gnd |0 (DE-588)4042805-9 | |
| 650 | 7 | |a Numerisches Verfahren |2 gnd |0 (DE-588)4128130-5 | |
| 650 | 7 | |a Partielle Differentialgleichung |2 gnd |0 (DE-588)4044779-0 | |
| 650 | 7 | |a PARTIAL DIFFERENTIAL EQUATIONS. |2 nasat | |
| 650 | 7 | |a NUMERICAL ANALYSIS. |2 nasat | |
| 650 | 7 | |a Equations aux d�eriv�ees partielles |x Solutions num�eriques. |2 ram | |
| 653 | |a equations |a numerical solution | ||
| 653 | 0 | 0 | |a eindige-elementenmethode |
| 653 | 0 | 0 | |a finite element analysis |
| 653 | 0 | 0 | |a differentiaalvergelijkingen |
| 653 | 0 | 0 | |a differential equations |
| 653 | 0 | 0 | |a numerieke methoden |
| 653 | 0 | 0 | |a numerical methods |
| 653 | 1 | 0 | |a Numerical Mathematics |
| 653 | 1 | 0 | |a Numerieke wiskunde |
| 700 | 1 | |a Rheinboldt, Werner. | |
| 700 | 1 | |a Jeffrey, Alan. | |
| 776 | 0 | 8 | |i Print version: |a Ames, William F. |t Numerical methods for partial differential equations. |b 2d ed. |d New York : Academic Press, �1977 |z 0120567601 |w (DLC) 77005786 |w (OCoLC)2894048 |
| 830 | 0 | |a Computer science and applied mathematics. | |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780120567607 |z Texto completo |