Langtangen, Hans Petter,  1962- <br/><br/>
Computational partial differential equations :  numerical methods and Diffpack programming / 
Hans Petter Langtangen. 
 - 2nd ed. 
 - xxvi, 855 p. :  ill. ;  24 cm. 
 - Texts in computational science and engineering,  1  1611-0994 ; .
<br/><br/>
<br/><br/>1.Getting Started --  1.1.First Diffpack Encounter --  1.2.Overview of Application Examples --  1.3.Steady One-Dimensional Heat Conduction --  1.4.Simulation of Waves --  1.5.Projects --  1.6.About Programming with Objects --  1.7.Coding the PDE Simulator as a Class --  1.8.Projects --  2.Introduction to Finite Element Discretization --  2.1.Weighted Residual Methods --  2.2.Time Dependent Problems --  2.3.Finite Elements in One Space Dimension --  2.4.Example: A 1D Wave Equation --  2.5. Naive Implementation --  2.6.Projects --  2.7. Higher-Dimensional Finite Elements --  2.8.Calculation of Derivatives --  2.9.Convection-Diffusion Equations --  2.10.Analysis of the Finite Element Method --  3.Programming of Finite Element Solvers --  3.1.Simple Programs for the Poisson Equation --  3.2.Increasing the Flexibility --  3.3.Some Visualization Tools --  3.4.Some Useful Diffpack Features --  3.5.Introducing More Flexibility --  3.6.Step-by-Step Development of a Diffpack Solver --  3.7.Adaptive Grids --  3.8.Projects --  3.9.Convection-Diffusion Solver --  3.10.Heat Equation Solver --  3.11.More Flexible Heat Equation Solver --  3.12.Visualization of Time-Dependent Fields --  3.13.Transient Heat Transfer Application --  3.14.Projects --  3.15.Efficient Solution of the Wave Equation --  4.Nonlinear Problems --  4.1.Discretization and Solution of Nonlinear PDEs --  4.2.Software Tools for Nonlinear Finite Element Problems --  4.3.Projects --  5.Solid Mechanics Applications --  5.1.Linear Thermo-Elasticity --  5.2.Elasto-Viscoplasticity --  6.Fluid Mechanics Applications --  6.1.Convection-Diffusion Equations --  6.2.Shallow Water Equations --  6.3.Implicit Finite Element Navier-Stokes Solver --  6.4.Classical Finite Difference Navier-Stokes Solver --  6.5.Fast Finite Element Navier-Stokes Solver --  6.6.Projects --  7.Coupled Problems --  7.1.Fluid-Structure Interaction; Squeeze-Film Damping --  7.2.Fluid Flow and Heat Conduction in Pipes --  7.3.Projects --  A.Mathematical Topics --  B.Diffpack Topics --  C.Iterative Methods for Sparse Linear Systems --  D.Software Tools for Solving Linear Systems. 
<br/><br/><label>ISBN: </label>354043416X (acid-free paper) 
<br/><br/><label>LCCN: </label>2003041553 
<br/><br/><label>Subjects--Uniform Titles: </label><br/>Diffpack (Computer file)
<br/><br/><label>Subjects--Topical Terms: </label><br/>Diferansiyel denklemler, Kısmi--Sayısal çözümler--Bilgi işlem<br/>Differential equations, Partial--Numerical solutions--Data processing
<br/><br/><label>LC Class. No.: </label>QA377  / .L355 2003