Jan

11

2019

We present analytic solutions to the scalar and vector wave equation with variable coefficients in one spatial dimension using Laplace transform methods. These solutions are used in convergence tests of finite difference methods satisfying a summation-by-parts rule with weak enforcement of boundary conditions through the simultaneous approximation term with order of accuracy 2, 4, 6 and 8. We explore linearly varying wave speeds that contain singularities.

Jan

14

2019

Jan

18

2019

Wicked problems are characterized by a resistance to solution. Proposed solutions are not good or bad; they are defined as right or wrong. Decisions have to be made in the presence of deep uncertainty, and the problem formulation itself can be in question.

Jan

25

2019

Jan

28

2019