Adapted from a series of lectures given by the authors, this monograph focuses on radial basis functions (RBFs), a powerful numerical methodology for solving PDEs to high accuracy in any number of dimensions. This method applies to problems across a wide range of PDEs arising in fluid mechanics, wave motions, astro- and geosciences, mathematical biology, and other areas and has lately been shown to compete successfully against the very best previous approaches on some large benchmark problems. Using examples and heuristic explanations to create a practical and intuitive perspective, the authors address how, when, and why RBF-based methods work. The authors trace the algorithmic evolution of RBFs, starting with brief introductions to finite difference (FD) and pseudospectral (PS) methods and following a logical progression to global RBFs and then to RBF-generated FD (RBF-FD) methods. The RBF-FD method, conceived in 2000, has proven to be a leading candidate for numerical simulations in an increasingly wide range of applications, including seismic exploration for oil and gas, weather and climate modeling, and electromagnetics, among others. This is the first survey in book format of the RBF-FD methodology and is suitable as the text for a one-semester first-year graduate class.

International bestseller Tom Phillips (Humans; Truth; Conspiracy) is back with a fascinating and hilarious look at armageddon through the ages

Do you feel like we're living in the end times? Does it seem like everything is on fire, and one disaster follows another?

Here's a small comfort: you're not the first to feel that way. If there's one thing that people throughout history have agreed on, it's that history wasn't going to be around for much longer.

This book is about the apocalypse, and how humans have always believed it to be very f*cking nigh. Across thousands of years, we'll meet weird cults, failed prophets and mass panics, holy warriors leading revolts in anticipation of the last days, and suburbanites waiting for aliens to rescue them from a doomed Earth. We'll journey back to the 'worst period to be alive', as the world reeled from a simultaneous pandemic and climate crisis. And we'll look to the future to ask the unnerving question: how might it all end?

But it's also a book about how we live in a world where catastrophe is always looming - whether it's a madman with a nuclear button or the slow burn of environmental collapse. Because when we talk about the end of the world, what we really mean is the end of our world. Our obsession with doomsday is really about change: our fear of it, and our desire for it, and how - ultimately - we can find hope in it.