Iterated deferred correction methods have been very widely used for the numerical solution of general nonlinear two-point boundary value problems in ordinary differential equations. However, there may ...

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 ...

Focuses on numerical solution of nonlinear equations, interpolation, methods in numerical integration, numerical solution of linear systems, and matrix eigenvalue problems. Stresses significant ...

General aspects of polynomial interpolation theory. Formulations in different basis, e.g. Lagrange, Newton etc. and their approximation and computational properties ...

A research team has developed a novel direct sampling method based on deep generative models. Their method enables efficient sampling of the Boltzmann distribution across a continuous temperature ...