Finite Difference Computing with PDEs

Preface.- Vibration ODEs.- Wave Equations.- Diffusion equations.- Advection-dominated equations.- Nonlinear problems.- Useful formulas.- Truncation error analysis.- Software engineering: wave equation model.- References.- Index. 

Svein Linge is a professor of modelling and simulation at the University College of Southeast Norway and holds a Dr. Scient. degree in biomechanics from the Norwegian School of Sport Sciences. He works part-time at a Norwegian Center of Excellence: "Center for Biomedical Computing", at Simula Research Laboratory, to which he has been linked for the last 13 years. His main research interests includes cerebrospinal fluid dynamics, cardiac electro-mechanics and sport biomechanics. Over the last decade, Linge has been particularly engaged in reforming the engineering education in mathematics and physics to take advantage of computer programming and simulation.

Hans Petter Langtangen was a professor of computer science at the University of Oslo. He had formerly been a professor of mechanics and was the director of a Norwegian Center of Excellence: "Center for Biomedical Computing", at Simula Research Laboratory. Langtangen published over 100 scientific publications and written several books, including papers and the bestseller TCSE 6 "A Primer on Scientific Programming with Python", now in its 5th edition. He also developed open source and commercial software systems for computational sciences. Hans Petter Langtangen passed away in October 2016.