This symposium proceedings investigates the challenges and advancements in numerical methods for simulating systems with evolving discontinuities. It brings together researchers to present their latest findings on discretizing partial differential equations that model phenomena such as shock waves, phase transitions, and crack propagation. The focus is on developing robust and accurate computational techniques to handle the rapid changes and sharp gradients inherent in these evolving discontinuities.

This collection of papers from the 2006 IUTAM Symposium in Lyon addresses a specialized area of computational science. The focus on discretization methods for evolving discontinuities suggests a technical and rigorous treatment of numerical analysis applied to complex physical phenomena. The intended audience is likely researchers and advanced students in computational fluid dynamics, applied mathematics, and related engineering fields.