| Main Title |
Numerical solution of time-dependent advection-diffusion-reaction equations / |
| Author |
Hundsdorfer, W. H.
|
| Other Authors |
|
| Publisher |
Springer, |
| Year Published |
2003 |
| OCLC Number |
52559225 |
| ISBN |
3540034404 (acid-free paper); 9783540034407 (acid-free paper) |
| Subjects |
Differential equations--Numerical solutions ;
Differential equations, Partial--Numerical solutions ;
Stiff computation (Differential equations) ;
Runge-Kutta formulas
|
| Internet Access |
|
| Holdings |
| Library |
Call Number |
Additional Info |
Location |
Last
Modified |
Checkout
Status |
| EKDM |
QA372.H878 2003 |
|
CEMM/EPD Library/Athens,GA |
10/16/2012 |
|
| Collation |
x, 471 p. : ill. ; 25 cm. |
| Notes |
Includes bibliographical references (p. [447]-464) and index. |
| Contents Notes |
I. Basic Concepts and Discretizations -- 1. Advection-Diffusion-Reaction Equations -- 2. Basic Discretizations for ODEs -- 3. Basic Spatial Discretizations -- 4. Convergence of Spatial Discretizations -- 5. Boundary Conditions and Spatial Accuracy -- 6. Time Stepping for PDEs -- 7. Monotonicity Properties -- 8. Numerical Test Examples -- II. Time Integration Methods -- 1. Runge-Kutta Methods -- 2. Convergence of Runge-Kutta Methods -- 3. Linear Multistep Methods -- 4. Monotone ODE Methods -- 5. Variable Step Size Control -- 6. Numerical Examples -- III. Advection-Diffusion Discretizations -- 1. Non-oscillatory MOL Advection Discretizations -- 2. Direct Space-Time Advection Discretizations -- 3. Implicit Spatial Discretizations -- 4. Non-uniform Grids -- Finite Volumes (1D) -- 5. Non-uniform Grids -- Finite Elements (1D) -- 6. Multi-dimensional Aspects -- 7. Notes on Moving Grids and Grid Refinement -- IV. Splitting Methods -- 1. Operator Splitting -- 2. LOD Methods -- 3. ADI Methods -- 4. IMEX Methods -- 5. Rosenbrock AMF Methods -- 6. Numerical Examples -- V. Stabilized Explicit Runge-Kutta Methods -- 1. The RKC Family -- 2. The ROCK Family -- 3. Numerical Examples. |
