This text provides a very simple, initial introduction to the complete scientific computing pipeline: models, discretization, algorithms, programming, verification, and visualization. The pedagogical strategy is to use one case study an ordinary differential equation describing exponential decay processes to illustrate fundamental concepts in mathematics and computer science. The book is easy to read and only requires a command of one-variable calculus and some very basic knowledge about computer programming. Contrary to similar texts on numerical methods and programming, this text has a...
This text provides a very simple, initial introduction to the complete scientific computing pipeline: models, discretization, algorithms, programmi...
Flow of ions through voltage gated channels can be represented theoretically using stochastic differential equations where the gating mechanism is represented by a Markov model. The flow through a channel can be manipulated using various drugs, and the effect of a given drug can be reflected by changing the Markov model. These lecture notes provide an accessible introduction to the mathematical methods needed to deal with these models. They emphasize the use of numerical methods and provide sufficient details for the reader to implement the models and thereby study the effect of various...
Flow of ions through voltage gated channels can be represented theoretically using stochastic differential equations where the gating mechanism is ...
The European Conference on Numerical Mathematics and Advanced Applications (ENUMATH), held every 2 years, provides a forum for discussing recent advances in and aspects of numerical mathematics and scientific and industrial applications. The previous ENUMATH meetings took place in Paris (1995), Heidelberg (1997), Jyvaskyla (1999), Ischia (2001), Prague (2003), Santiago de Compostela (2005), Graz (2007), Uppsala (2009), Leicester (2011) and Lausanne (2013).
This book presents a selection of invited and contributed lectures from the ENUMATH 2015 conference, which was organised by the...
The European Conference on Numerical Mathematics and Advanced Applications (ENUMATH), held every 2 years, provides a forum for discussing recent ad...
The research and its outcomes presented in this collection focus on various aspects of high-performance computing (HPC) software and its development which is confronted with various challenges as today's supercomputer technology heads towards exascale computing.
The research and its outcomes presented in this collection focus on various aspects of high-performance computing (HPC) software and its development w...
This volume contains contributed survey papers from the main speakers at the LMS/EPSRC Symposium "Building bridges: connections and challenges in modern approaches to numerical partial differential equations".
This volume contains contributed survey papers from the main speakers at the LMS/EPSRC Symposium "Building bridges: connections and challenges in mode...
This unique perspective explores the role of computer simulation in the sports realm, through the study of five specific examples. Readers will find detailed coverage of the contributions computational science and engineering (CSE) make to sports research.
This unique perspective explores the role of computer simulation in the sports realm, through the study of five specific examples. Readers will find d...
The book comprises an assembly of benchmarks and examples for porous media mechanics collected over the last twenty years. The benchmark book is part of the OpenGeoSys initiative - an open source project to share knowledge and experience in environmental analysis and scientific computation.
The book comprises an assembly of benchmarks and examples for porous media mechanics collected over the last twenty years. The benchmark book is part ...
Meshfree methods, particle methods, and generalized finite element methods have witnessed substantial development since the mid 1990s. The growing interest in these methods is due in part to the fact that they are extremely flexible numerical tools and can be interpreted in a number of ways. For instance, meshfree methods can be viewed as a natural extension of classical finite element and finite difference methods to scattered node configurations with no fixed connectivity. Furthermore, meshfree methods offer a number of advantageous features which are especially attractive when dealing...
Meshfree methods, particle methods, and generalized finite element methods have witnessed substantial development since the mid 1990s. The growing ...
This book gathers a selection of invited and contributed lectures from the European Conference on Numerical Mathematics and Advanced Applications (ENUMATH) held in Lausanne, Switzerland, August 26-30, 2013. It provides an overview of recent developments in numerical analysis, computational mathematics and applications from leading experts in the field. New results on finite element methods, multiscale methods, numerical linear algebra and discretization techniques for fluid mechanics and optics are presented. As such, the book offers a valuable resource for a wide range of readers looking...
This book gathers a selection of invited and contributed lectures from the European Conference on Numerical Mathematics and Advanced Applications (...
This book is a tutorial written by researchers and developers behind the FEniCS Project and explores an advanced, expressive approach to the development of mathematical software. Chapters in Part II address the design and implementation of the FEnicS software.
This book is a tutorial written by researchers and developers behind the FEniCS Project and explores an advanced, expressive approach to the developme...
