Scientific Computation with Automatic Result Verification
[Book]
edited by Ulrich Kulisch, Hans J. Stetter.
Vienna
Springer Vienna
1988
(VIII, 244 pages 22 illustrations)
Computing (Springer-Verlag)., Supplementum ;, 6.
Automatic Result Verification --;I. Numerical Methods with Result Verification --;A Method for Producing Verified Results for Two-point Boundary Value Problems --;A Kind of Difference Method for Enclosing Solutions of Ordinary Linear Boundary Value Problems --;A Self-validating Method for Solving Linear Programming Problems with Interval Input Data --;Enclosing the Solutions of Linear Equations by Interval Iterative Processes --;Errorbounds for Quadratic Systems of Nonlinear Equations Using the Precise Scalar Product --;Inclusion of Eigenvalues of General Eigenvalue Problems of Matrices --;Verified Inclusion for Eigenvalues of Certain Difference and Differential Equations --;II. Applications in the Technical Sciences --;VIB --;Verified Inclusions of Critical Bending Vibrations --;Stability Test for Periodic Differential Equations on Digital Computers with Applications --;The Periodic Solutions of the Oregonator and Verification of Results --;On Arithmetical Problems of Geometric Algorithms in the Plane --;III. Improving the Tools --;Precise Evaluation of Polynomials in Several Variables --;Evaluation of Arithmetic Expressions with Guaranteed High Accuracy --;Standard Functions for Real and Complex Point and Interval Arguments with Dynamic Accuracy --;Inverse Standard Functions for Real and Complex Point and Interval Arguments with Dynamic Accuracy --;Inclusion Algorithms with Functions as Data --;FORTRAN-SC. A Study of a FORTRAN Extension for Engineering/Scientific Computation with Access to ACRITH.
Scientific Computation with Result Verification has been a persevering research topic at the Institute for Applied Mathematics of Karlsruhe University for many years.