Abstract. A strategy for controlling the stepsize in the numerical integration of stochastic differential equations (SDEs) is presented. It is based on estimating the p-th mean of local errors. The strategy leads to stepsize sequences that are identical for all computed paths. For the family of Euler schemes for SDEs with small noise we derive computable estimates for the dominating term of the...

transgene integration and expression in host plant is quite unpredictable and is considered as the major problem in plant transformation. the variation in transgene copy number in transgenic plants influences the expression level and is one of such complication. in many plant species, the analysis of transgenic plants has shown that independent transgenic plants have one to many copies of trans...

We present a rational version of the classical Landen transformation for elliptic integrals. This is employed to obtain explicit closed-form expressions for a large class of integrals of even rational functions and to develop an algorithm for numerical integration of these functions.

We analyze the geometry of a rotating disk with a tangential acceleration in the framework of the Special Theory of Relativity, using the kinematic linear differential system that verifies the relative position vector of time-like curves in a Fermi reference. A numerical integration of these equations for a generic initial value problem is made up and the results are compared with those obtaine...

This paper describes the development of a four-point fully implicit block method for solving first order ordinary differential equations (ODEs) using variable step size. This method will estimate the solutions of initial value problems (IVPs) at four points simultaneously. The method developed is suitable for the numerical integration of non-stiff and mildly stiff differential systems. The perf...

This paper is concerned with the numerical approximation of definite integrals over [—1, 1], in which the function /to be integrated has isolated singularities near [ —1, 1 ]. Complex variable techniques are used to study the effectiveness of the method of subtracting out complex singularities.

Static analysis on integration level is a method of checking the usage of interfaces between software modules (function calls and global variables) without executing the software system. The interfaces are analyzed by a tool without referencing an interface specification or documented software architecture. An interface is classified as suspicious if it is neither written nor read, if it is glo...