Strong stability preserving (SSP) high order time discretizations were developed to ensure
nonlinear stability properties necessary in the numerical solution of hyperbolic partial …

The review considers the modelling process for stellar convection rather than specific
astrophysical results. For achieving reasonable depth and length we deal with …

This book deals with numerical methods for solving partial differential equa tions (PDEs)
coupling advection, diffusion and reaction terms, with a focus on time-dependency. A …

The main purpose of the book is to introduce the readers to the numerical integration of the
Cauchy problem for delay differential equations (DDEs). Peculiarities and differences that …

Strong Stability Preserving Explicit Runge—Kutta Methods | Strong Stability Preserving
Runge-Kutta and Multistep Time Discretizations World Scientific Search This Book Anywhere …

Over the past 40 years, the speed of computers has increased roughly by one order of
magnitude per decade. During the next decade, continuing progress, particularly in parallel …

" Models are often the only way of interpreting measurements to in vestigate long-range
transport, and this is the reason for the emphasis on them in many research programs". BEA …

In this paper we present necessary and sufficient conditions for Runge-Kutta methods to be
contractive. We consider not only unconditional contractivity for arbitrary dissipative initial …

Strong stability-preserving (SSP) Runge–Kutta methods were developed for time integration
of semidiscretizations of partial differential equations. SSP methods preserve stability …

In his 1958 thesis Stability and Error Bounds, Germund Dahlquist introduced the logarithmic
norm in order to derive error bounds in initial value problems, using differential inequalities …