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Humour has been shown to improve elements of the educational experience, but only under certain circumstances. We use Cognitive Load Theory to explain that these circumstances occur when humour does not overload the student's cognitive load. The problem‐solving approach, typically used in science, technology, engineering and math (STEM) education, already increases the cognitive load, and the addition of humour can push STEM education past this overload point. Using examples from the literature and classroom experiences, we illustrate how to integrate humour in an effective manner. We pay particular attention to integrating humour with STEM problem‐solving so as to avoid adding additional cognitive load. Copyright © 2016 John Wiley & Sons, Ltd.

In this text, students of applied mathematics, science and engineering are introduced to fundamental ways of thinking about the broad context of parallelism. The authors begin by giving the reader a deeper understanding of the issues through a general examination of timing, data dependencies, and communication. These ideas are implemented with respect to shared memory, parallel and vector processing, and distributed memory cluster computing. Threads, OpenMP, and MPI are covered, along with code examples in Fortran, C, and Java. The principles of parallel computation are applied throughout as the authors cover traditional topics in a first course in scientific computing. Building on the fundamentals of floating point representation and numerical error, a thorough treatment of numerical linear algebra and eigenvector/eigenvalue problems is provided. By studying how these algorithms parallelize, the reader is able to explore parallelism inherent in other computations, such as Monte Carlo methods.

-Finite element approximations of the stationary power-law Stokes problem using penalty formulation are considered. A priori error estimates under appropriate smoothness assumptions on the solutions are established without assuming a discrete version of the BB condition. Numerical solutions are presented by implementing a nonlinear conjugate gradient method.

Abstract. Galerkin approximations to solutions of a Cauchy-Dirichlet problem governed by the generalized porous medium equationon bounded convex domains are considered. The range of the parameter ρ includes the fast diffusion case 1 < ρ < 2. Using an Euler finite difference approximation in time, the semi-discrete solution is shown to converge to the exact solution in L ∞ (0, T ; L ρ (Ω)) norm with an error controlled by O(∆t