Tombstones of Sophie Molling and Max Molling (center in shadow); Strangriede Cemetery (R 29.09 and R 29.10); Hannover Cemeteries Tombs

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Tombstones of Joseph Benjamin and Marianne Benjamin nee Sussmann; Strangriede Cemetery (R 83.8 and R 83.9); Hannover Cemeteries Tombs

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Tombstones of Lea Benjamin nee Levy and Herz Benjamin; Strangriede Cemetery (R 83.11 and R 83.12); Hannover Cemeteries Tombs

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Adolpf Molling, Janet Krakauer nee McColl, Hymie Joachim and Thomas Krakauer (l-r); Weggis, Switzerland Portraits Groups

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Tombstone of Joseph Benjamin; Strangriede Cemetery (R 83.8); Hannover Cemeteries Tombs

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Tombstone of Sophie Molling nee Benjamin; Strangriede Cemetery (R 20.09); Hannover Cemeteries Tombs

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Tombstone of Lea Benjamin nee Levy; Strangriede Cemetery (R 83.11); Hannover Cemeteries Tombs

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Family portrait of (back l-r) Frieda Arens, Fritz Unger, Gustav Arens, Grete Glasner, (front l-r) Lise Arens, Gitta Unger and Ernst Glasner.

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GENEHUNTER: your 'one-stop shop' for statistical genetic analysis?

The past decade has brought a proliferation of statistical genetic (linkage) analysis techniques, incorporating new methodology and/or improvement of existing methodology in gene mapping, specifically targeted towards the localization of genes underlying complex disorders. Most of these techniques have been implemented in user-friendly programs and made freely available to the genetics community. Although certain packages may be more 'popular' than others, a common question asked by genetic researchers is 'which program is best for me?'. To help researchers answer this question, the following software review aims to summarize the main advantages and disadvantages of the popular GENEHUNTER package.

Studio portrait of infant twins Beatrice and Fred Herz (l-r).

The Herz twins were born 4 February 1913

Reproduction of grammar school class portrait including Ella, Beatrice and Rose Herz (circled l-r).

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R-parameter: A local truncation error based adaptive framework for finite volume compressible flow solvers

A residual-based strategy to estimate the local truncation error in a finite volume framework for steady compressible flows is proposed. This estimator, referred to as the -parameter, is derived from the imbalance arising from the use of an exact operator on the numerical solution for conservation laws. The behaviour of the residual estimator for linear and non-linear hyperbolic problems is systematically analysed. The relationship of the residual to the global error is also studied. The -parameter is used to derive a target length scale and consequently devise a suitable criterion for refinement/derefinement. This strategy, devoid of any user-defined parameters, is validated using two standard test cases involving smooth flows. A hybrid adaptive strategy based on both the error indicators and the -parameter, for flows involving shocks is also developed. Numerical studies on several compressible flow cases show that the adaptive algorithm performs excellently well in both two and three dimensions.