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BIT Numerical Mathematics

BIT Numerical Mathematics OnlineFirst articles

14.11.2018

On Motzkin’s method for inconsistent linear systems

Iterative linear solvers have gained recent popularity due to their computational efficiency and low memory footprint for large-scale linear systems. The relaxation method, or Motzkin’s method, can be viewed as an iterative method that projects …

12.11.2018

Rank one interval enclosure of the parametric united solution set

Consider linear algebraic systems $$A(p)x=b(p)$$ A ( p ) x = b ( p ) , where the matrix and the right-hand side vector depend linearly on a number of parameters $$p=(p_1,\ldots , p_K)^{\top }$$ p = ( p 1 , … , p K ) ⊤ that vary within given …

09.11.2018

Accurate evaluation of Chebyshev polynomials in floating-point arithmetic

It is well-known that the Chebyshev polynomials $$T_n$$ T n and $$U_{n-1}$$ U n - 1 can be recursively expressed as linear combinations of $$T_{n-1}$$ T n - 1 and $$U_{n-2}$$ U n - 2 . We study floating-point implementations of these recurrences …

01.11.2018

Mimetic properties of difference operators: product and chain rules as for functions of bounded variation and entropy stability of second derivatives

For discretisations of hyperbolic conservation laws, mimicking properties of operators or solutions at the continuous (differential equation) level discretely has resulted in several successful methods. While well-posedness for nonlinear systems …

17.10.2018

Explicit computational wave propagation in micro-heterogeneous media

Explicit time stepping schemes are popular for linear acoustic and elastic wave propagation due to their simple nature which does not require sophisticated solvers for the inversion of the stiffness matrices. However, explicit schemes are only …

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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.

Editors-in-Chief
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

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BIT foundation, Lund, Sweden

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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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Next BIT Circus for young researchers is planned August 26-27, 2015 in Umeå:
https://www.hpc2n.umu.se/events/workshops/BITcircus2015

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