Coursera Differential Equations For Engineers

This book concerns the practical solution of Partial Differential Equations (PDE). It reflects an interdisciplinary approach to problems occurring in natural Environmental Phenomena: the hydrosphere, atmosphere, cryosphere, lithosphere, biosphere and ionosphere.

"An exceptionally complete overview. There are numerous examples and the emphasis is on applications to almost all areas of science and engineering. There is truly something for everyone here. This reviewer feels that it is a very hard act to follow, and recommends it strongly.

This book concerns the practical solution of Partial Differential Equations (PDEs). It reflects an interdisciplinary approach to problems occurring in natural environmental media: the hydrosphere, atmosphere, cryosphere, lithosphere, biosphere and ionosphere. It assumes the reader has gained some intuitive knowledge of PDE solution properties and now wants to solve some for real, in the context of practical problems arising in real situations. The practical aspect of this book is the infused focus on computation. It presents two major discretization methods – Finite Difference and Finite Element. The blend of theory, analysis, and implementation practicality supports solving and understanding complicated problems. It is divided into three parts. Part I is an overview of Finite Difference Methods. Part II focuses on Finite Element Methods, including an FEM tutorial. Part III deals with Inverse Methods, introducing formal approaches to practical problems which are ill-posed.

This book concerns the practical solution of Partial Differential Equations (PDE). It reflects an interdisciplinary approach to problems occurring in natural Environmental Phenomena: the hydrosphere, atmosphere, cryosphere, lithosphere, biosphere and ionosphere.