Roots of the circular cylindrical shell characteristic equation
Rosenbrock Methods for Differential Algebraic Equations.
Rotationally symmetric deformations of a spherical cap.
Rothe method for a mixed problem with an integral condition for the two-dimensional diffusion equation.
Rothe time-discretization method for a nonlocal problem arising in thermoelasticity.
Rothe time-discretization method for the semilinear heat equation subject to a nonlocal boundary condition.
Rothe's method for degenerate quasilinear parabolic equations
Roundoff Analysis and Sparse Data.
Round-Off Error Analysis of Iterations for Large Linear Systems.
Round-off error analysis of the gradient method
Round-off Error for Retarded Ordinary Differential Equations: A Priori Bounds and Estimates.
Roundoff errors in the fast computation of discrete convolutions
The efficient evaluation of a discrete convolution is usually carried out as a repated evaluation of a discrete convolution of a special type with the help of the fast Fourier transform. The paper is concerned with the analysis of the roundoff errors in the fast computation of this convolution. To obtain a comparison, the roundoff errors in the usual (direct) computation of this convolution are also considered. A stochastic model of the propagation of roundoff errors. is employed. The theoretical...
Rozděl a slep aneb jak řešit soustavu s bilionem lineárních rovnic
Cílem článku je naznačit úlohu matematiky a efektivnost nových algoritmů pro řešení rozsáhlých soustav lineárních rovnic na současných masívně paralelních superpočítačích. Na příkladu řešení Poissonovy rovnice je popsána základní varianta metody rozložení oblasti typu FETI (finite element tearing and interconnecting) s projektorem na přirozenou hrubou síť, jsou odvozeny základní kvalitativní výsledky demonstrující asymptoticky lineární (optimální) složitost řešení a jsou popsána prakticky důležitá...
RTIN-based strategies for local mesh refinement
Longest-edge bisection algorithms are often used for local mesh refinements within the finite element method in 2D. In this paper, we discuss and describe their conforming variant. A particular attention is devoted to the so-called Right-Triangulated Irregular Network (RTIN) based on isosceles right triangles and its tranformation to more general domains. We suggest to combine RTIN with a balanced quadrant tree (QuadTree) decomposition. This combination does not produce hanging nodes within the...
Rumor propagation model: an equilibrium study.
Runge-Kutta methods for parabolic equations with nonsmooth initial data
Runge-Kutta Theory for Volterra Integrodifferential Equations
Runge-Kutta-Verfahren mit festen und variablen Parametern zur Lösung von Systemen gewöhnlicher Differentialgleichungen 1. Ordnung