Error Analysis in Numerical Processes

Part 1 Computer arithmetic errors and errors in numerical processes. Part 2 Linear numerical processes: the approximation error pertubation error algorithm and rounding errors. Part 3 Linear algebraic systems: Gauss elimination other direct methods iteration methods. Part 4 Some linear processes and problems: errors in the FEM errors in the approximate solution of integral equations the resolvent method and its errors. Part 5 Nonlinear numerical processes: general remarks some unilateral variational problems De Saint-Venant/v. Mises and Haar/v. Karman elastic-plastic state the hardening problem in plasticity theory - a posteriori error estimates.