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## BIT Numerical Mathematics OnlineFirst articles

14.03.2018

### A parallel spectral deferred correction method for first-order evolution problems

This paper investigates a novel parallel technique based on the spectral deferred correction (SDC) method and a compensation step for solving first-order evolution problems, and we call it para-SDC method for convenience. The standard SDC method …

08.03.2018

### Relative perturbation bounds for eigenpairs of diagonalizable matrices

In this paper, we present some uniform relative perturbation bounds for eigenvalues and eigenspaces of diagonalizable matrices under additive and multiplicative perturbations. Some existing perturbation bounds can be improved based on the new …

27.02.2018

### Efficient preconditioner of one-sided space fractional diffusion equation

In this paper, we propose an efficient preconditioner for the linear systems arising from the one-sided space fractional diffusion equation with variable coefficients. The shifted Gr $$\ddot{\mathrm{u}}$$ u ¨ nwald formula is employed to …

14.02.2018

### An efficient fourth-order in space difference scheme for the nonlinear fractional Ginzburg–Landau equation

This paper proposes and analyzes a high-order implicit-explicit difference scheme for the nonlinear complex fractional Ginzburg–Landau equation involving the Riesz fractional derivative. For the time discretization, the second-order backward …

13.02.2018

### Well-balanced mesh-based and meshless schemes for the shallow-water equations

We formulate a general criterion for the exact preservation of the “lake at rest” solution in general mesh-based and meshless numerical schemes for the strong form of the shallow-water equations with bottom topography. The main idea is a careful …

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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.

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2003-2015 Axel Ruhe† (Axel passed away suddenly on April 4, 2015)
2015 to present Lars Eldén

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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

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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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