Numerical experiments of some Krylov subspace methods for black oil model

This paper discusses preconditioned Krylov subspace methods for solving large scale linear systems that originate from oil reservoir numerical simulations. Two types of preconditioners, one being based on an incomplete LU decomposition and the other being based on iterative algorithms, are used together in a combination strategy in order to achieve an adaptive and efficient preconditioner. Numerical tests show that different Krylov subspace methods combining with appropriate preconditioners are able to achieve optimal performance.

Return of deposits

Explores case law illustrating the circumstances in which the courts are likely to order the return of a deposit in the event of a buyer's default. Notes the unwillingness of the courts to apply the rule on penalties to deposits and discusses the court's discretion under the Law of Property Act 1925 s.49(2) to order repayment. Focuses on the Chancery Division ruling in Aribisala v St James Homes (Grosvenor Dock) Ltd giving guidance on the circumstances in which the discretion under s.49(2) should be exercised.