This workshop is intended to be a cross-cutting session that will focus on the fundamental modeling challenges that arise when simulating high energy density plasmas. This includes aspects of classical magnetohydrodynamics, five and six-dimensional formulations of plasma transport theory, plasma-material interactions, and the design of robust analytic techniques for software verification. These are all “multi-physics” problems, involving electromagnetic interactions, turbulent fluid behavior, and both quantum mechanical and relativistic corrections. These problems are also “multi-scale”, requiring multi-resolution/hybrid algorithms and sub-grid modeling. We will consider methods for the simulation of the governing integro-differential equations that scale with problem size and are suitable for high-performance computing, including exa-scale and peta-scale platforms. One goal of the workshop is to make the modeling challenges accessible to applied mathematicians and computational scientists with little or no prior experience in plasma physics.