Numerical Analysis

Inhaltsverzeichnis

• A generalized conjugate direction method and its application on a singular perturbation problem.
• Some implementation schemes for implicit Runge-Kutta methods.
• Best approximation in tensor product spaces.
• Monotonicity and free boundary value problems.
• Computing eigenvectors (and eigenvalues) of large, symmetric matrices using Lanczos tridiagonalization.
• Horizontal line analysis of the multidimensional porous medium equation: Existence, rate of convergence and maximum principles.
• Numerical methods for phase-plane problems in ordinary differential equations.
• On the use of exact penalty functions to determine step length in optimization algorithms.
• Petrov-Galerkin methods for non-self-adjoint problems.
• Collocation and perturbed collocation methods.
• Modular analysis of numerical software.
• The numerical solution of turbulent flow problems in general geometry.
• The rate of convergence of a multiple grid method.