Quoting from the case file: how intertextual practices shape discourse at various stages in the legal trajectory

Criminal trial hearings are communicative events that are densely intertextually structured. In the course of a trial hearing, written documents such as police records of statements made by suspects, witnesses and experts are extensively referred to, quoted, paraphrased, summarized and recontextualized. In fact, such drawing upon the (written documents in) the case file is inevitable, as demonstrating (or invalidating) the defendant’s criminal liability crucially depends on the transformation of discourses produced at previous stages of the trial into lawful evidence. Detailed analyses of the various discursive processes through which intertextual links with the case file are established are thus essential for understanding exactly how trial participants negotiate versions of events with specific legal implications. In this special issue we bring together a collection of papers that deal with such intertextual practices in different legal settings

Approximate factorization for time-dependent partial differential equations

AbstractThe first application of approximate factorization in the numerical solution of time-dependent partial differential equations (PDEs) can be traced back to the celebrated papers of Peaceman and Rachford and of Douglas of 1955. For linear problems, the Peaceman–Rachford–Douglas method can be derived from the Crank–Nicolson method by the approximate factorization of the system matrix in the linear system to be solved. This factorization is based on a splitting of the system matrix. In the numerical solution of time-dependent PDEs we often encounter linear systems whose system matrix has a complicated structure, but can be split into a sum of matrices with a simple structure. In such cases, it is attractive to replace the system matrix by an approximate factorization based on this splitting. This contribution surveys various possibilities for applying approximate factorization to PDEs and presents a number of new stability results for the resulting integration methods