A mathematician has developed new methods for the numerical solution of ordinary differential equations. These so-called multirate methods are highly efficient for large systems, where some components ...
Some algorithms based upon a projection process onto the Krylov subspace $K_m = \operatorname{Span}(r_0, Ar_0, \ldots, A^{m - 1}r_0)$ are developed, generalizing the ...
This example solves a nonlinear system of equations by Newton's method. Let the nonlinear system be represented by ...
Introduces the theory and applications of dynamical systems through solutions to differential equations.Covers existence and uniqueness theory, local stability properties, qualitative analysis, global ...
Error estimates for fully discretized particle or simulation methods for multidimensional Vlasov-Poisson systems are provided. The treatment requires stability ...
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