Splitting-based time integration approaches such as fractional step, alternating direction
implicit, operator splitting, and locally one dimensional methods partition the system of …

A technique to stabilize standard explicit Runge–Kutta methods by associating them with W-
methods is proposed. The main point to get the associated family of W-methods for a given …

Abstract Alternating Directions Implicit (ADI) integration is an operator splitting approach to
solve parabolic and elliptic partial differential equations in multiple dimensions based on …

We present an algebraic framework for operator splitting preconditioners for general sparse
matrices. The framework leads to four different approaches: two with alternating splittings …

One-and Two-step W-methods and peer methods are considered combined with an
Approximate Matrix Factorization (AMF) for the numerical solution of large systems of stiff …

This thesis contributes to the field of sparse linear algebra, graph applications, and
preconditioners for Krylov iterative solvers of sparse linear equation systems, by providing a …

Splitting-based time integration approaches such as fractional step, alternating direction
implicit, operator splitting, and locally one dimensional methods partition the system of …

Splitting-based time integration approaches such as fractional steps, alternating direction
implicit, operator splitting, and locally one dimensional methods partition the system of …

In this PhD thesis, we consider initial value problems for systems of stiff ordinary differential
equations (ODEs) in the form y (t)= f (t, y (t)), y (t0)= y0∈ Rn, t∈[t0, te],(1.0. 1) with right-hand …

Abstract Alternating Directions Implicit (ADI) integration is an operator splitting approach to
solve parabolic and elliptic partial differential equations in multiple dimensions based on …