Can you trust results from modeling and simulation? This text provides a framework for assessing the reliability of and uncertainty included in the results used by decision makers and policy makers in industry and government. The emphasis is on models described by PDEs and their numerical solution. Procedures and results from all aspects of verification and validation are integrated with modern methods in uncertainty quantification and stochastic simulation. Methods for combining numerical approximation errors, uncertainty in model input parameters, and model form uncertainty are presented in order to estimate the uncertain response of a system in the presence of stochastic inputs and lack of knowledge uncertainty. This new edition has been extensively updated, including a fresh look at model accuracy assessment and the responsibilities of management for modeling and simulation activities. Extra homework problems and worked examples have been added to each chapter, suitable for course use or self-study.

‘This landmark book, by two top-level experts in VVUQ, is a major contribution to the field of scientific computing. It provides the concepts and the tools to develop critical judgement when evaluating results from numerical simulations. Addressing students, researchers as well as practitioners. An essential and necessary contribution towards gaining confidence in the computational based design process!’

Charles Hirsch - Vrije Universiteit Brussel