This book introduces the reader not only to the mathematical foundation but also to the programming paradigms encountered in modern hybrid software-hardware scientific computing.

Lubos Brieda holds a Ph.D. in Aerospace and Mechanical Aerospace Engineering from the George Washington University in Washington, D.C., USA and a M.Sc. in Aerospace and Ocean Engineering from Virginia Tech in Blacksburg, VA, USA. He is the president of Particle in Cell Consulting, LLC, Westlake Village, CA, USA, while also serving as a part time lecturer in the Department of Astronautical Engineering at University of Southern California, Los Angeles, CA. Dr. Brieda is the author of numerous simulation codes utilized by the aerospace and plasma modeling communities. Additionally, he maintains an online blog found at particleincell.com/blog focusing on scientific computing and since 2014 he has been teaching online courses on plasma simulations through his website.

Joseph Wang is Professor of Astronautics and Aerospace and Mechanical Engineering at University of Southern California. Prof. Wang received his Ph.D in Aeronautics and Astronautics from Massachusetts Institute of Technology in 1991. Prof. Wang conducts research in computational physics, space technology, and space and planetary science. He and his students have developed many computer simulation models utilizing particle-in-cell, Vlasov, and molecular dynamics simulation for large-scale first-principle based simulations in these areas. He has more than 300 publications.

Robert Martin received his B.S. in Aerospace Engineering from Iowa State University and his M.S. and Ph.D in Computational Science, Mathematics, and Engineering focused on modeling non-equilibrium gas and plasma at the University of California, San Diego. He joined the Air Force Research Laboratory (AFRL) In-Space Propulsion branch in 2011 leading development of a new multiscale/multiphysics modeling framework for spacecraft plasma. He joined the Army Research Office to run the Modeling of Complex Systems Program in 2021.

Chapter 1: Scientific Computing Basics. Chapter 2: Finite Difference and Linear Algebra. Chapter 3: Numerical Analysis. Chapter 4: Introduction to C++. Chapter 5: Kinetic Methods. Chapter 6: Eulerian Methods. Chapter 7: Interactive Applications. Chapter 8: Software Engineering. Chapter 9: High Performance Computing. Chapter 10: Optimization and Machine Learning. Chapter 11: Embedded Systems. Appendix A: Fortran 77 Syntax. References.