Book Review: Elliptic differential equations (theory and numerical treatment)

Numerical Treatment of Geodesic Differential Equations on Two Dimensional Surfaces

This paper presents a brief instructions to nd geodesics equa-tions on two dimensional surfaces in R3. The resulting geodesic equations are solved numerically using Computer Program Matlab, the geodesics are dis-played through Figures.

Numerical treatment of oscillatory functional differential equations

In this paper we are concerned with oscillatory functional differential equations (that is, those equations where all solutions oscillate) under numerical approximation. Our interest is in the preservation of qualitative properties of solutions under numerical discretisation. We give conditions under which an equation is oscillatory, and consider whether the discrete schemes derived using linea...

Book Review Test Theory: A Unified Treatment

Second-Order Elliptic Integro-Differential Equations: Viscosity Solutions' Theory Revisited

The aim of this work is to revisit viscosity solutions’ theory for second-order elliptic integrodifferential equations and to provide a general framework which takes into account solutions with arbitrary growth at infinity. Our main contribution is a new Jensen-Ishii’s Lemma for integro-differential equations, which is stated for solutions with no restriction on their growth at infinity. The pr...

Numerical and Analytical Treatment of Differential Equations of Fractional Order