Ordinary finite differences -- Divided differences -- Central differences -- Inverse interpolation and the solution of equations -- Computation with series and integrals -- Numerical solution of ...

Fourier analysis and numerical methods have long played a pivotal role in the solution of differential equations across science and engineering. By decomposing complex functions into sums of ...

Methods for simulating sharp interfaces. Marker particle, level set, fast marching, volume of fluid, and phase field methods. Recommended text: Level Set Methods and Fast Marching Methods: Evolving ...

This is a preview. Log in through your library . Abstract Four well-known methods for the numerical solution of linear discrete ill-posed problems are investigated from a common point of view: namely, ...

The mere attendance of the lecture is valued at 2 CP. If the tutorials are completed as well (> 70 %), 3 CP are awarded. For this, the solutions to the problems must be handed in before the next ...

Analysis and implementation of numerical methods for random processes: random number generators, Monte Carlo methods, Markov chains, stochastic differential equations, and applications. Recommended ...

This is a preview. Log in through your library . Abstract The numerical solution of boundary value problems for linear systems of first order equations with a regular singular point at one endpoint is ...

This is an advanced textbook on the subject of turbulence, and is suitable for engineers, physical scientists and applied mathematicians. The aim of the book is to bridge the gap between the ...