Multi-step methods are described for first kind singular Volterra integral equations. Methods of order three are constructed and illustrated with a numerical example. Journal Information Journal of ...

Local adaptivity and mesh refinement are key to the efficient simulation of wave phenomena in heterogeneous media or complex geometry. Locally refined meshes, however, dictate a small time step ...

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 ...