The numerical solution of ordinary and partial differential equations /

The numerical solution of ordinary and partial differential equations /

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Bibliographic Details
Main Author: Sewell, Granville (Author)
Format: Book
Language:English
Published: New Jersey : World Scientific, [2015]
Singapore ; Hackensack, NJ : [2015]
Edition:3rd edition
Subjects:
Differential equations > Numerical solutions > Data processing
Differential equations, Partial > Numerical solutions > Data processing
Differential equations, Partial > Numerical solutions
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100 1 |a Sewell, Granville,  |e author 
245 1 4 |a The numerical solution of ordinary and partial differential equations /  |c Granville Sewell (University of Texas El Paso, USA) 
250 |a 3rd edition 
264 1 |a New Jersey :  |b World Scientific,  |c [2015] 
264 1 |a Singapore ;  |a Hackensack, NJ :  |b World Scientific,  |c [2015] 
264 4 |c ©2015 
300 |a xii, 333 pages :  |b illustrations (some color) ;  |c 24 cm 
300 |a xii, 333 pages :  |b illustrations ;  |c 24 cm 
300 |a xii, 333 pages ;  |c 23 cm 
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336 |a text  |b txt  |2 rdacontent 
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504 |a Includes bibliographical references (pages 327-329) and index 
504 |a Includes bibliographical references (pages 331-333) and index 
504 |a Includes bibliographical references and index 
505 0 0 |a note:  |g 0  |t Direct Solution of Linear Systems --  |g 0.0.  |t Introduction --  |g 0.1.  |t General Linear Systems --  |g 0.2.  |t Systems Requiring No Pivoting --  |g 0.3.  |t L U Decomposition --  |g 0.4.  |t Banded Linear Systems --  |g 0.5.  |t Sparse Direct Methods --  |g 0.6.  |t Problems --  |g 1.  |t Initial Value Ordinary Differential Equations --  |g 1.0.  |t Introduction --  |g 1.1.  |t Euler's Method --  |g 1.2.  |t Truncation Error, Stability, and Convergence --  |g 1.3.  |t Multistep Methods --  |g 1.4.  |t Adams Multistep Methods --  |g 1.5.  |t Backward Difference Methods for Stiff Problems --  |g 1.6.  |t Runge-Kutta Methods --  |g 1.7.  |t Problems --  |g 2.  |t Initial Value Diffusion Problem --  |g 2.0.  |t Introduction --  |g 2.1.  |t Explicit Method --  |g 2.2.  |t Implicit Methods --  |g 2.3.  |t One-Dimensional Example --  |g 2.4.  |t Multidimensional Problems --  |g 2.5.  |t Diffusion-Reaction Example --  |g 2.6.  |t Problems --  |g 3.  |t Initial Value Transport and Wave Problems --  |g 3.0.  |t Introduction --  |g 3.1.  |t Explicit Methods for the Transport Problem --  |g 3.2.  |t Method of Characteristics --  |g 3.3.  |t Explicit Method for the Wave Equation --  |g 3.4.  |t Damped Wave Example --  |g 3.5.  |t Problems --  |g 4.  |t Boundary Value Problems --  |g 4.0.  |t Introduction --  |g 4.1.  |t Finite Difference Methods --  |g 4.2.  |t Nonlinear Example --  |g 4.3.  |t Singular Example --  |g 4.4.  |t Shooting Methods --  |g 4.5.  |t Multidimensional Problems --  |g 4.6.  |t Successive Overrelaxation --  |g 4.7.  |t Successive Overrelaxation Examples --  |g 4.8.  |t Conjugate-Gradient Method --  |g 4.9.  |t Systems of Differential Equations --  |g 4.10.  |t Eigenvalue Problem --  |g 4.11.  |t Inverse Power Method --  |g 4.12.  |t Problems --  |g 5.  |t Finite Element Method --  |g 5.0.  |t Introduction --  |g 5.1.  |t Galerkin Method --  |g 5.2.  |t Example Using Piecewise Linear Trial Functions --  |g 5.3.  |t Example Using Cubic Hermite Trial Functions --  |g 5.4.  |t Singular Example and The Collocation Method --  |g 5.5.  |t Linear Triangular Elements --  |g 5.6.  |t Example Using Triangular Elements --  |g 5.7.  |t Time-Dependent Problems --  |g 5.8.  |t One-Dimensional Example --  |g 5.9.  |t Time-Dependent Example Using Triangles --  |g 5.10.  |t Eigenvalue Problem --  |g 5.11.  |t Eigenvalue Examples --  |g 5.12.  |t Problems --  |g Appendix A  |t Solving PDEs with PDE2D --  |g A.1.  |t History --  |g A.2.  |t PDE2D Interactive and Graphical User Interfaces --  |g A.3.  |t One-Dimensional Steady-State Problems --  |g A.4.  |t Two-Dimensional Steady-State Problems --  |g A.5.  |t Three-Dimensional Steady-State Problems --  |g A.6.  |t Nonrectangular 3D Regions --  |g A.7.  |t Time-Dependent Problems --  |g A.8.  |t Eigenvalue Problems --  |g A.9.  |t PDE2D Parallel Linear System Solvers --  |g A.10.  |t Examples --  |g A.11.  |t Problems --  |g Appendix B  |t Fourier Stability Method --  |g Appendix C  |t MATLAB Programs --  |g Appendix D  |t Answers to Selected Exercises. 
596 |a 4 
650 0 |a Differential equations  |x Numerical solutions  |x Data processing 
650 0 |a Differential equations, Partial  |x Numerical solutions  |x Data processing 
650 7 |a Differential equations  |x Numerical solutions  |x Data processing  |2 fast 
650 7 |a Differential equations, Partial  |x Numerical solutions  |2 fast 
650 7 |a Differential equations, Partial  |x Numerical solutions  |x Data processing  |2 fast 
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