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BIT Numerical Mathematics

BIT Numerical Mathematics OnlineFirst articles


Simple formula for integration of polynomials on a simplex

We show that integrating a polynomial f of degree t on an arbitrary simplex (with respect to Lebesgue measure) reduces to evaluating t homogeneous related Bombieri polynomials of degree $$j=1,2,\ldots ,t$$ j = 1 , 2 , … , t , each at a unique …


Optimal quadratic element on rectangular grids for problems

In this paper, a piecewise quadratic finite element method on rectangular grids for $$H^1$$ H 1 problems is presented. The proposed method can be viewed as a reduced rectangular Morley element. For the source problem, the convergence rate of this …


Verified inclusions for a nearest matrix of specified rank deficiency via a generalization of Wedin’s theorem

For an $$m \times n$$ m × n matrix A, the mathematical property that the rank of A is equal to r for $$0< r < \min (m,n)$$ 0 < r < min ( m , n ) is an ill-posed problem. In this note we show that, regardless of this circumstance, it is possible to …


Randomized Kaczmarz with averaging

The randomized Kaczmarz (RK) method is an iterative method for approximating the least-squares solution of large linear systems of equations. The standard RK method uses sequential updates, making parallel computation difficult. Here, we study a …

07.08.2020 Open Access

An accurate integral equation method for Stokes flow with piecewise smooth boundaries

Two-dimensional Stokes flow through a periodic channel is considered. The channel walls need only be Lipschitz continuous, in other words they are allowed to have corners. Boundary integral methods are an attractive tool for numerically solving …

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BIT was started by Carl Erik Fröberg in 1961. The name is an acronym for "Tidskrift för Informationsbehandling" read backwards. From the outset, a wide area of computer science and technology was covered, but since 1992 the focus has been on Numerical Mathematics.

1961-1992 Carl Erik Fröberg
1993-2002 Åke Björck
2003-2015 Axel Ruhe† (Axel passed away suddenly on April 4, 2015)
2015 to present Lars Eldén

BIT foundation, Lund, Sweden

Appointed by the Academies of (Engineering) sciences in the Nordic Countries for three year periods.

The members from 2016 are:
Olavi Nevanlinna, Aalto University, appointed by STA, Suomalainen Tiedakatemia, Finland, (Chairman)
Allan Peter Engsig-Karup, Technical University of Denmark, appointed by ATV, Akademiet for de Tekniske Videnskaber, Denmark
Bo Kågström, Umeå University, appointed by IVA, Kungliga Ingenjörsvetenskapsakademien, Sweden
Tom Lyche, University of Oslo, appointed by DNVA, Det Norske Videnskaps-Akademi, Norway
Lars Eldén, Linköping University

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BIT publishes original research papers in the rapidly developing field of numerical analysis. The essential areas covered by BIT are development and analysis of numerical methods as well as the design and use of algorithms for scientific computing. Topics emphasized by BIT include numerical methods in approximation, linear algebra, and ordinary and partial differential equations, but BIT also publishes papers in areas such as numerical functional analysis and numerical optimization.

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