Abstract: Obtaining solutions to large-scale linear ordinary differential equations (ODEs) inevitably relies on numerical integration methods that have developed in ...

This is a preview. Log in through your library . Abstract A general method is described to compute the exact error in the numerical integration of a given polynomial ...

Abstract: In this paper, we present a novel approach for computing the bit error rate of time-modulated array using the Laplace inversion integral. We express the bit ...

Backward error analysis has become an important tool for understanding the long time behavior of numerical integration methods. This is true in particular for the ...

I would like to note that current boost.math can be further improved. The issue is the following. Currently, integrator invokes the user provided function per each point. This approach has been used ...

Parabolic partial differential equations (PDEs) are fundamental in modelling a wide range of diffusion processes in physics, finance and engineering. The numerical ...

The differential equation system is numerically integrated to obtain a solution for the derivative variables at each data point. The integration is performed by evaluating the provided model at ...

This program numerically approximates the definite integral of a user-specified mathematical function over a given range. It supports three widely-used numerical integration methods: Composite Simpson ...