K. W. Morton

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The subject of the paper is the analysis of three new evolution Galerkin schemes for a system of hyperbolic equations, and particularly for the wave equation system. The aim is to construct methods which take into account all of the infinitely many directions of propagation of bicharacteristics. The main idea of the evolution Galerkin methods is the(More)
— The Lagrange-Galerkin finite element method for a hnear advection problem is unconditionally stable if exact intégration is used for the évaluation of the inner products However, great care must be taken when non-exact intégration is perfortned Large classes of well-known quadrature rules lead to conditionally unstable schemes An alternative technique is(More)
matrix behavior cannot be inferred from the norm of the resolvent (Theorem 2). It remains to be seen, however, whether the gap between these two kinds of information may be quantiiable. For example, the gap between the norms of powers kA n k and the bound provided by the Kreiss Matrix Theorem is known to be linear in the dimension of the matrix|remarkably(More)
BACKGROUND Cardiovascular disease (CVD) progression is modifiable through lifestyle behaviors. Community pharmacists are ideally placed to facilitate self-management of cardiovascular health however research shows varied pharmacist engagement in providing lifestyle advice. OBJECTIVE This study explored community pharmacists' experiences and perceptions of(More)
In this paper a multilevel algorithm for the solution of the cell vertex finite volume Cauchy–Riemann equations is developed. These equations provide a linear algebraic system obtained by the finite volume cell vertex discretization of the inhomogeneous Cauchy–Riemann equations. Both square and triangular cells are employed. The system of linear equations(More)