https://nova.newcastle.edu.au/vital/access/ /manager/Index en-au 5 Well-poised generation of Apéry-like recursions https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:11925 Wed 11 Apr 2018 14:46:41 AEST ]]> Box integrals https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:13095 where →/r runs over the unit n-cube, with →/q and s fixed, explicitly: ∫₀¹...∫₀¹((r₁-q₁)²+...+(rn-qn)²)s/2dr₁...drn. The study of box integrals leads one naturally into several disparate fields of analysis. While previous studies have focused upon symbolic evaluation and asymptotic analysis of special cases (notably s = 1), we work herein more generally—in interdisciplinary fashion—developing results such as: (1) analytic continuation (in complex s), (2) relevant combinatorial identities, (3) rapidly converging series, (4) statistical inferences, (5) connections to mathematical physics, and (6) extreme-precision quadrature techniques appropriate for these integrals. These intuitions and results open up avenues of experimental mathematics, with a view to new conjectures and theorems on integrals of this type.]]> Sat 24 Mar 2018 10:35:17 AEDT ]]> Class number three Ramanujan type series for 1/π https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:13145 Sat 24 Mar 2018 08:18:07 AEDT ]]> A stabilized mixed finite element method for the biharmonic equation based on biorthogonal systems https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:12470 Sat 24 Mar 2018 08:16:30 AEDT ]]> Computational strategies for the Riemann zeta function https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:13068 Sat 24 Mar 2018 08:15:39 AEDT ]]> A mixed finite element method for nearly incompressible elasticity and Stokes equations using primal and dual meshes with quadrilateral and hexahedral grids https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:18444 Sat 24 Mar 2018 07:59:48 AEDT ]]> A mixed finite element method for nearly incompressible elasticity and Stokes equations using primal and dual meshes with quadrilateral and hexahedral grids https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:28754 Sat 24 Mar 2018 07:37:35 AEDT ]]> A local projection stabilisation finite element method for the Stokes equations using biorthogonal systems https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:46852 Fri 02 Dec 2022 09:06:23 AEDT ]]>