Applied Mathematics and Scientific Computing

✍ Scribed by Marcus Sarkis (auth.), Zlatko Drmač, Vjeran Hari, Luka Sopta, Zvonimir Tutek, Krešimir Veselić (eds.)

• Publisher: Springer US
• Year: 2003
• Tongue: English
• Leaves: 346
• Edition: 1
• Category: Library

✦ Synopsis

Proceedings of the second conference on Applied Mathematics and Scientific Computing, held June 4-9, 2001 in Dubrovnik, Croatia.

The main idea of the conference was to bring together applied mathematicians both from outside academia, as well as experts from other areas (engineering, applied sciences) whose work involves advanced mathematical techniques.

During the meeting there were one complete mini-course, invited presentations, contributed talks and software presentations. A mini-course Schwarz Methods for Partial Differential Equations was given by Prof Marcus Sarkis (Worcester Polytechnic Institute, USA), and invited presentations were given by active researchers from the fields of numerical linear algebra, computational fluid dynamics , matrix theory and mathematical physics (fluid mechanics and elasticity).

This volume contains the mini-course and review papers by invited speakers (Part I), as well as selected contributed presentations from the field of analysis, numerical mathematics, and engineering applications.

✦ Table of Contents

Front Matter....Pages i-x
Front Matter....Pages 1-1
Domain Decomposition Methods....Pages 3-29
Modification and Maintenance of ULV Decompositions....Pages 31-62
Advances in Jacobi Methods....Pages 63-90
Modelling of Curved Rods....Pages 91-121
Incompressible Newtonian Flow through Thin Pipes....Pages 123-142
First Order Eigenvalue Perturbation Theory and the Newton Diagram....Pages 143-175
Front Matter....Pages 177-177
Microlocal Energy Density for Hyperbolic Systems....Pages 179-190
Approximate Solutions to Some Second Order Linear Recurrences....Pages 191-197
Asymptotic Behaviour of Tension Spline Collocation Matrix....Pages 199-208
Numerical Stability of Krylov Subspace Iterative Methods for Solving Linear Systems....Pages 209-217
Nonlinear Problems in Dynamics by the Finite Element in Time Method....Pages 219-228
On Directional Bias of the L p -Norm....Pages 229-235
A Note on Slip Condition on Corrugated Boundary....Pages 237-249
Relaxation of Some Energy Functionals Related to the Formation of Microstructure....Pages 251-259
A Coarse Space for Elasticity....Pages 261-273
Numerical Approximations of the Sediment Transport Equations....Pages 275-288
A Model of Irregular Curved Rods....Pages 289-299
Existence of the Density of States for Some Alloy Type Models With Single Site Potentials that Change Sign....Pages 301-311
On Principal Eigenvalue of Stationary Diffusion Problem with Nonsymmetric Coefficients....Pages 313-322
Qualitative Analysis of Some Solutions of Quasilinear System of Differential Equations....Pages 323-332
Front Matter....Pages 177-177
High-Order ENO and WENO Schemes with Flux Gradient and Source Term Balancing....Pages 333-346
Back Matter....Pages 347-350

✦ Subjects

Numeric Computing;Mathematical Modeling and Industrial Mathematics;Fluid- and Aerodynamics;Mathematics of Computing