TY  - GEN
AU  - Langtangen, Hans Petter,
TI  - Computational partial differential equations: numerical methods and Diffpack programming 
T2  - Texts in computational science and engineering,
SN  - 354043416X (acid-free paper)
AV  - QA377 .L355 2003
PY  - 2003///
CY  - Berlin, New York
PB  - Springer
KW  - Diffpack (Computer file)
KW  - Diferansiyel denklemler, Kısmi
KW  - Sayısal çözümler
KW  - Bilgi işlem
KW  - Differential equations, Partial
KW  - Numerical solutions
KW  - Data processing
N1  - Includes bibliographical references (p. [833]-842) and index; 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
UR  - http://www.loc.gov/catdir/enhancements/fy0817/2003041553-d.html
ER  -