Nodal Discontinuous Galerkin Methods: Algorithms, Analysis, and Applications (Texts in Applied Mathematics)

This book offers an introduction to the key ideas, basic analysis, and efficient implementation of discontinuous Galerkin finite element methods (DG-FEM) for the solution of partial differential equations. It covers all key theoretical results, including an overview of relevant results from approximation theory, convergence theory for numerical PDE’s, and orthogonal polynomials. Through embedded Matlab codes, coverage discusses and implements the algorithms for a number of classic systems of PDE’s: Maxwell’s equations, Euler equations, incompressible Navier-Stokes equations, and Poisson- and Helmholtz equations.

Under the Sea Scratch and Sketch: An Art Activity Book for Imaginative Artists of All Ages (Scratch & Sketch)

Learn amazing facts and get creative as you discover and draw 20 fascinating creatures of the deep blue sea! Use the wooden stylus included to scratch away the black coating and draw starfish, angelfish, sea turtles, sharks, blue whales, sea lions, seahorses, octopi, and many others. Watch them come to life with colorful fish patterns, rainbow swirls, and holographic foils that appear from beneath the black coating like magic! Under the Sea Scratch and Sketch Art Activity Book contains:20 black-coated scratch-off art board pages: 10 with gold and silver glitter colors beneath, and 10 with multi-colored swirl colors and fish patterns beneath.20 drawings and descriptions of sea creatures.20 extra pages for doodling your own.Wooden stylus for drawing.Recommended for young artists ages 6 and up.Not a trace-along title; best enjoyed by kids who are comfortable copying the sea creature drawings.