Nature Research Intelligence Topics Topic summaries Information and Computing Sciences Theory of Computation Numerical Computation and Mathematical Software Numerical computation and mathematical ...

SIAM Journal on Numerical Analysis, Vol. 55, No. 2 (2017), pp. 980-1001 (22 pages) This paper presents a numerical method for verifying the existence and local uniqueness of a solution for an ...

The aim of this research project is to develop methods of evaluating the reliability of mathematical models and their consistency with real phenomena by using computer-assisted analysis based on ...

Transversal homoclinic orbits of maps are known to generate shift dynamics on a set with Cantor-like structure. In this paper a numerical method is developed for computation of the corresponding ...

This book thoroughly explains the theory and practice of quantitative analysis methods essential to modern macroeconomics, from the basics to the frontier where heterogeneous economic agents are taken ...

Optical systems employ a rich array of physical effects which are described by well-understood equations. However, for all but the simplest devices these equations are typically too complex to permit ...

Peter was editor of The Journal of Computational Finance from 2008 to 2013. We have selected the papers in these two issues, contributed by his friends and colleagues worldwide, to reflect both the ...

In the early years of space exploration, scientists and engineers dreamed of sending vehicles to Mars that could land on the planet’s surface and explore its terrain. However, one of their biggest ...

Numerical computation and mathematical software form the backbone of modern scientific inquiry, facilitating the approximation of real numbers, the solution of complex mathematical models, and the ...