Numerical Methods and Error Bounds: Proceedings of the IMACS-GAMM International Symposium on Numerical Methods and Error Bounds Held in Oldenburg, Germany, July 9-12, 1995G. Alefeld, Jürgen Herzberger This volume contains the invited talks and short communications presented at the IMACS-GAMM International Symposium. The participants from all over the world presented their results in the field of development and investigation of numerical algorithms under the aspect of constructing proper error bounds for approximated solutions. Among the subjects of the talks were problems like systems of linear and nonlinear equations,ordinary and partial differential equation solvers, data fitting methods, computer geometry, computer arithmetic, interval arithmetic, and selected problems in theoretical mechanics. |
Contents
Adžić N A lowdegree approximation for layer solution of | 9 |
Alefeld G Symmetric linear systems with pertubed input | 16 |
Mayer | 22 |
Copyright | |
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Common terms and phrases
a₁ accuracy Alefeld algebraic algorithm analytic function applied approximation arithmetic operations asynchronous Atanassova b₁ boundary Brent's method calculated coefficients complex components computation consider coprocessor defined denote differential equations digits enclosure error analysis error bounds error estimates evaluation exact error example exponent factorization floating point floating-point formula Germany given guaranteed Herzberger IEEE implementation inclusion inequalities interval arithmetic interval vector inverse quadratic interpolation iterative methods ITPACK Koenig theorem LAPACK Lemma linear system LINPACK Math Mathematics matrix nonlinear Numerical Methods obtained optimization order of convergence orthogonal perturbation piecewise polynomial plates proof quadrature R-order recursion right-hand side root rounding errors secant method sequences significand simple zeros solution set solve SOR-like space Ssym step subinterval summands symmetric topological primitives two-sided valid value problems variable-precision verification VPIAC