A software package for the numerical integration of ODEs by means of high-order Taylor methods.
A streaming approach for sparse matrix products and its application in Galerkin multigrid methods.
A tree-based dataflow model for the unsymmetric multifrontal method.
A twisted block tangential filtering decomposition preconditioner.
Acceleration of Runge-Kutta integration schemes.
Adaptive data distribution for concurrent continuation.
Adaptive frame methods with cubic spline-wavelet bases
Advancing analysis capabilities in ANSYS through solver technology.
ALBERT---Software for scientific computations and applications.
Algebraic theory of fast mixed-radix transforms. II. Computational complexity and applications
Algorithms 70-71. Determination of a quadratic spline function with given values of the integrals in subintervals
Algorithms 73-76. Four algorithms for evaluation of improper integrals
Algorithms in Unnormalized Arithmetic. II. Unrestricted Polynomial Evaluation.
An Adaptive Quadrilateral Mesh in Curved Domains
An nonlinear elliptic system for generating adaptive quadrilateral meshes in curved domains is presented. The presented technique has been implemented in the C++ language with the help of the standard template library. The software package writes the converged meshes in the GMV and the Matlab formats. Grid generation is the first very important step for numerically solving partial differential equations. Thus, the presented C++ grid generator is extremely important to the computational science community....
An adaptive -step conjugate gradient algorithm with dynamic basis updating
The adaptive -step CG algorithm is a solver for sparse symmetric positive definite linear systems designed to reduce the synchronization cost per iteration while still achieving a user-specified accuracy requirement. In this work, we improve the adaptive -step conjugate gradient algorithm by the use of iteratively updated estimates of the largest and smallest Ritz values, which give approximations of the largest and smallest eigenvalues of , using a technique due to G. Meurant and P. Tichý (2018)....
An additive Schwarz preconditioner for the spectral element ocean model formulation of the shallow water equations.
An alternating direction implicit method for orthogonal spline collocation linear systems.
An application of the averaged gradient technique
An efficiency analysis of the parallel multitransputer implementation of two-level optimization algorithms
The paper presents an approach to improve the efficiency of some two-level optimization algorithms by their implementation in parallel MIMD multiprocessor systems. Diagonal decomposition dynamic programming and parametric optimization methods are considered, and some concepts of their parallelization are discussed. Results regarding the implementation of computations in a parallel multitransputer system are presented. For the analysed problems, the obtained values of speedup are close to the theoretical...
An Implementation of Ray Tracing Algorithm for the Multiprocessor Machines