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  • High-order schemes based on extrapolation for semilinear fractional differential equation

    Yang, Yuhui; orcid: 0000-0002-5686-5017; Green, Charles Wing Ho; Pani, Amiya K.; Yan, Yubin; email: y.yan@chester.ac.uk (Springer International Publishing, 2023-12-11)
    By rewriting the Riemann–Liouville fractional derivative as Hadamard finite-part integral and with the help of piecewise quadratic interpolation polynomial approximations, a numerical scheme is developed for approximating the Riemann–Liouville fractional derivative of order α∈(1, 2). The error has the asymptotic expansion (d3τ3-α+d4τ4-α+d5τ5-α+⋯)+(d2∗τ4+d3∗τ6+d4∗τ8+⋯) at any fixed time tN=T, N∈Z+, where di, i=3, 4, … and di∗, i=2, 3, … denote some suitable constants and τ=T/N denotes the step size. Based on this discretization, a new scheme for approximating the linear fractional differential equation of order α∈(1, 2) is derived and its error is shown to have a similar asymptotic expansion. As a consequence, a high-order scheme for approximating the linear fractional differential equation is obtained by extrapolation. Further, a high-order scheme for approximating a semilinear fractional differential equation is introduced and analyzed. Several numerical experiments are conducted to show that the numerical results are consistent with our theoretical findings.
  • A Practical Guide to Embedding Commercial Awareness into your Curriculum

    Todd, Andrea; Conaghan, Elizabeth; University of Chester; University of Reading (Edward Elgar Publishing, 2024-03-05)
    This chapter aims to equip lecturers with the tools they need to embed ‘commercial awareness’ in their teaching. The meaning of commercial awareness is explored and the arguments in favour of students developing this attribute are discussed. The chapter then introduces two examples from the law schools of UK universities where commercial awareness has been embedded. The first example concerns a very practical module which was specifically designed to ensure commercial awareness was at its core. The second example used student and employer partnerships to add commercial awareness to an established module which had a lot of ‘textbook’ learning but little real-world application. The examples provided offer lecturers with step-by-step toolkits to facilitate the creation of their own learning activities which embed commercial awareness. The positive impact of integrating commercial awareness is highlighted using feedback from students who have experienced these modules.
  • Law in Action

    Todd, Andrea; University of Chester (Advance HE, 2024-03-05)
    This case study considers the impact on student wellbeing of 'Law in Action', a Level 6 module co-constructed with students. The module aims to empower students to appreciate their transferable skills, understand how to articulate them to themselves and future employers, how to identify, and deal with, imposter syndrome, and to appreciate the importance of self-care and mental wellbeing within the legal profession.
  • From a blank piece of paper to a compelling employability narrative: student-designed authentic assessment for creating socially responsible, employable graduates

    Todd, Andrea; University of Chester (Advance HE, 2024-01-25)
    Against a backdrop of increasing focus on graduate employability and employment outcomes (Bathmaker 2021) and increasing investment in widening participation programmes (Hutchinson, Reader and Akhal, 2020), this case study considers how handing over the reins and taking a student-led approach to module development has enabled students to develop a compelling employability narrative (Tomlinson, 2017; Tomlinson and Anderson, 2021), to better understand social responsibility and confidently articulate their skills for work.
  • San Diego Topographics 2 1986-1987

    Clarke, Stephen; University of Chester (Café Royal Books, 2019-12-19)
    When Stephen Clarke arrived on America’s West Coast in the mid-1980s having just completed his art degree, he had expected to feel a familiarity with its landscape. Growing up in the 1960s and ‘70s he had absorbed a version of California by watching popular American detective shows. Onto this childhood picture he later mapped the work of the photo-artists based there who informed his art practice —Ed Ruscha, John Baldessari, Lewis Baltz. For a year he took photographs of San Diego, struggling to navigate through an arid and sprawling landscape which he discovered was alien territory. [a version of this abstract was written by Julia Garcia Hernandez and first published in the RPS Contemporary Photography, No. 63, Spring 2016] San Diego Topographics 2 1986 - 1987 was published by Café Royal Books in an edition of 250. It was edited by Craig Atkinson, founder of Café Royal Books. San Diego Topographics 2 1986 - 1987 is one of Clarke’s four CRB photobooks dedicated to the subject of San Diego, California, USA. The published photographs form part of a larger project—including books, articles, and exhibitions—titled Alien Resident based on Clarke’s legal status while in the USA as a resident alien.

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