• An analysis of the Grünwald–Letnikov scheme for initial-value problems with weakly singular solutions 

  Chen, Hu; Holland, Finbarr; Stynes, Martin (Elsevier B.V., 2019-01-15)

  A convergence analysis is given for the Grünwald–Letnikov discretisation of a Riemann–Liouville fractional initial-value problem on a uniform mesh tm=mτ with m=0,1,…,M. For given smooth data, the unknown solution of the ...
• Pseudospectra of elements of reduced Banach algebras 

  Krishnan, Arundhathi; Kulkarni, S. H. (Tusi Math. Research Group (TMRG), 2017)

  Let A be a Banach algebra with identity 1 and p∈A be a non-trivial idempotent. Then q=1−p is also an idempotent. The subalgebras pAp and qAq are Banach algebras, called reduced Banach algebras, with identities p and q ...
• Pseudospectra of elements of reduced Banach algebras II 

  Krishnan, Arundhathi; Kulkarni, S. H. (Univerzitet u Nišu, University of Nis, Serbia, 2018)

  Let A be a Banach algebra with identity 1 and p ∈ A be a non-trivial idempotent. Then q = 1 − p is also an idempotent. The subalgebras pAp and qAq are Banach algebras, called reduced Banach algebras, with identities p and ...
• Physical flow properties for Pollard-like internal water waves 

  Kluczek, Mateusz (AIP Publishing, 2018-12-07)

  We present a study of the physical flow properties for a recently derived three-dimensional nonlinear geophysical internal wave solution. The Pollard-like internal wave solution is explicit in terms of Lagrangian labelling ...
• Exact Pollard-like internal water waves 

  Kluczek, Mateusz (Taylor & Francis Group, 2018-12-03)

  In this paper we construct a new solution which represents Pollard-like three-dimensional nonlinear geophysical internal water waves. The Pollard-like solution includes the effects of the rotation of Earth and describes ...

View more