A Note on Unconditional Maximum Norm Contractivity of Diagonally Split Runge–Kutta Methods

On maximum norm contractivity of second order damped single step methods

In this paper we consider A(θ)-stable finite difference methods for numerical solutions of dissipative partial differential equations of parabolic type. Combining two rational approximation methods with different orders of accuracy, where the lower order method is applied n0 times (n0 fixed) at each time step, we prove the existence of a second order method which is contractive for all time ste...

A note on nonnegative diagonally dominant matrices

reflections on taught courses of the iranian ma program in english translation: a mixed-methods study

the issue of curriculum and syllabus evaluation and revision has been in center of attention right from when curriculum came into attention of educational institutions. thus everywhere in the world in educational institutions curricula and syllabi are evaluated and revised based on the goals, the needs, existing content, etc.. in iran any curriculum is designed in a committee of specialists and...

A Note on Approximating Curve with 1-Norm Regularization Method for the Split Feasibility Problem

A Numerical Study of Diagonally Split Runge-Kutta Methods for PDEs with Discontinuities

Diagonally split Runge–Kutta (DSRK) time discretization methods are a class of implicit time-stepping schemes which offer both high-order convergence and a form of nonlinear stability known as unconditional contractivity. This combination is not possible within the classes of Runge–Kutta or linear multistep methods and therefore appears promising for the strong stability preserving (SSP) timest...