Large Scale Scientific Computing

Paperback (Softcover reprint of the original 1st ed. 1987)
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Product Details

  • ISBN-13: 9781468467567
  • Publisher: Birkhauser Verlag
  • Publication date: 12/12/2012
  • Series: Progress in Scientific Computing Series, #7
  • Edition description: Softcover reprint of the original 1st ed. 1987
  • Pages: 388
  • Product dimensions: 6.00 (w) x 9.00 (h) x 0.83 (d)

Table of Contents

I: Initial Value Problems for Ode’s and Parabolic Pde’s.- 1. Algorithms for Semiconductor Device Simulation.- 2. Hierarchical Bases in the Numerical Solution of Parabolic Problems.- 3. Extrapolation Integrators for Quasilinear Implicit ODE’s.- 4. Numerical Problems Arising from the Simulation of Combustion Phenomena.- 5. Numerical Computation of Stiff Systems for Nonequilibrium.- 6. Finite Element Simulation of Saturated-Unsaturated Flow Through Porous Media.- II: Boundary Value Problems for ODE’s and Elliptic PDE’s.- 7. Numerical Pathfollowing Beyond Critical Points in ODE Models.- 8. Computing Bifurcation Diagrams for Large Nonlinear Variational Problems.- 9. Extinction Limits for Premixed Laminar Flames in a Stagnation Point Flow.- 10. A Numerical Method for Calculating Complete Theoretical Seismograms in Vertically Varying Media.- 11. On a New Boundary Element Spectral Method.- III: Hyperbolic PDE’s.- 12. A High Order Non-Oscillatory Shock Capturing Method.- 13. Vortex Dynamics Studied by Large-Scale Solutions to the Euler Equations.- IV: Inverse Problems.- 14. Numerical Backprojection in the Inverse 3D Radon Transform.- 15. A Direct Algebraic Algorithm in Computerized Tomography.- 16. A Two-Grid Approach to Identification and Control Problems for Partial Differential Equations.- V: Optimization and Optimal Control Problems.- 17. Solving Large-Scale Integer Optimization Problems.- 18. Numerical Treatment of State & Control Constraints in the Computation of Feedback Laws for Nonlinear Control Problems.- 19. Optimal Production Scheme for the Gosau Hydro Power Plant System.- VI: Algorithm Adaptation on Supercomputers.- 20. The Use of Vector and Parallel Computers in the Solution of Large Sparse Linear Equations.- 21. Local Uniform Mesh Refinement on Vector and Parallel Processors.- 22. Using Supercomputer to Model Heat Transfer in Biomedical Applications.- Speakers.

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