1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 A Discrete Calculus Analysis of the Keller Box Scheme and a Generalization of the Method to Arbitrary Meshes. V. Subramanian and J. B. Perot

and Applied Analysis 3 for λ 2 cos z, where z ∈ : {z : z ∈ , Im z ≥ 0} and αn, Anm are expressed in terms of an and bn as

SEAWAT is a finite-difference computer code designed to simulate coupled variable-density ground water flow and solute transport. This paper describes a new version of SEAWAT that adds the ability to simultaneously model energy and solute transport. This is necessary for simulating the transport of heat and salinity in coastal aquifers for example. This work extends the equation of state for fl...

Let ∆(α) denote the fractional difference operator. In this paper, we define new difference sequence spaces c0(Γ, ∆(α), u) and c(Γ, ∆(α), u). Also, the β−dual of the spaces c0(Γ, ∆(α), u) and c(Γ, ∆(α), u) are determined and calculated their Schauder basis. Furthermore, we characterize the classes (μ(Γ, ∆(α), u) : λ) for μ ∈ {c0, c} and λ ∈ {c0, c, l ∞, l1} .

In the high frequency regime, the geometrical-optics approximation for the Helmholtz equation with a point source results in an eikonal equation for traveltime and a transport equation for amplitude. Because the point-source traveltime field has an upwind singularity at the source point, all formally high-order finite-difference eikonal solvers exhibit first-order convergence and relatively lar...

AD-field is a field with a derivation or a difference-operator, called D. In a suitable language, the theory of D-fields has a modelcompanion, whose axioms need not distinguish the two cases in which D can fall. The geometric concepts involved in describing these axioms can be used to characterize the existentially closed fields with a derivation and a difference-operator; but the class of thes...