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Numerische Mathematik 1

Josef Stoer
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The article was published on 1989-01-01. It has received 2186 citations till now.

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Journal ArticleDOI

Approximating the Inverse of a Square Matrix with Application in Computation of the Moore-Penrose Inverse

Fazlollah Soleymani, +2 more
- 31 Mar 2014 - 
TL;DR: Analysis of convergence reveals that the method reaches ninth-order convergence and numerical results including the comparisons with different existing methods of the same type in the literature will manifest the superiority of the new algorithm in finding approximate inverses.
Journal ArticleDOI

An Accurate Block Solver for Stiff Initial Value Problems

Hamisu Musa, +4 more
- 28 Aug 2013 - 
TL;DR: New implicit block formulae that compute solution of stiff initial value problems at two points simultaneously are derived and implemented in a variable step size mode and their suitability for solving stiff problems is indicated.
Journal ArticleDOI

Interference-aware multipath routing in wireless mesh network

Faiza Iqbal, +2 more
- 25 Aug 2014 - 
TL;DR: The goal of this research is to develop a multipath routing strategy which can achieve better end-to-end throughput by purging badly affected asymmetric non-coordinated interfering links during path construction procedure, and the results clearly exhibit the efficacy of the proposed approach.
Journal ArticleDOI

Methods for physical impairment constrained routing with selected protection in all-optical networks

Peter Soproni, +2 more
- 01 May 2014 - 
TL;DR: Methods able to maximize the number of demands routed with protection in all-optical way in capacity-constrained networks with limitations on path lengths according to physical impairments are introduced and evaluated.
Journal ArticleDOI

A Two-Grid Finite Element Method for a Second-Order Nonlinear Hyperbolic Equation

Chuanjun Chen, +2 more
- 05 Mar 2014 - 
TL;DR: In this paper, a two-grid finite element scheme for the approximation of a second-order nonlinear hyperbolic equation in two space dimensions is presented, where the full nonlinear problem is solved only on a coarse grid of size and the resulting linear system is solved on the fine grid.