The Fowl WarsBy: John DoldSweetie is a chicken. You may think she is a joke, but say that to her face and she will tear you in half. Sweetie and her friends have no idea about what’s coming. They don’t know they are going to have to save the world. They will have to travel to the moon and battle the ruler of the universe. Sweetie will soon learn the secret of her past and that the world is not as it seems. In the end, she has no idea what is about to come to earth. In an ad...

This volume provides an introduction to the analytical and numerical aspects of partial differential equations (PDEs). It unifies an analytical and computational approach for these; the qualitative behaviour of solutions being established using classical concepts: maximum principles and energy methods. Notable inclusions are the treatment of irregularly shaped boundaries, polar coordinates and the use of flux-limiters when approximating hyperbolic conservation laws. The numerical analysis ...

Any chance Krista Miller had at a normal teenage life is now gone. Less than a year ago she lived under the radar, avoiding any relationships that would send her emotional sensitivities out of control. Little did she know that her life was destined for something more. Something that will test her very soul. After facing certain death at the hands of the man responsible for their mysterious past, Krista and her friends learn the truth behind their origins and the purpose for their newly dis...

What if an unborn baby could talk? Well, this one does! Listen in and hear this sweet baby’s charming, thoughtful, humorous musings during its nine-month adventure! If baby seems to have a little attitude as gets more crowded in there, well… The baby tries to figure out the meaning of the words it hears at home, visits to the doctors office, in the garden, going to the hospital and more! There is original colorful artwork throughout the book. Prepare to laugh and weep ...

This book gives an introduction to the finite element method as a general computational method for solving partial differential equations approximately. Our approach is mathematical in nature with a strong focus on the underlying mathematical principles, such as approximation properties of piecewise polynomial spaces, and variational formulations of partial differential equations, but with a minimum level of advanced mathematical machinery from functional analysis and partial differential ...

One of the current main challenges in the area of scientific computing is the design and implementation of accurate numerical models for complex physical systems which are described by time dependent coupled systems of nonlinear PDEs. This volume integrates the works of experts in computational mathematics and its applications, with a focus on modern algorithms which are at the heart of accurate modeling: adaptive finite element methods, conservative finite difference methods and finite vo...

This book describes the theoretical and computational aspects of the mimetic finite difference method for a wide class of multidimensional elliptic problems, which includes diffusion, advection-diffusion, Stokes, elasticity, magnetostatics and plate bending problems. The modern mimetic discretization technology developed in part by the Authors allows one to solve these equations on unstructured polygonal, polyhedral and generalized polyhedral meshes. The book provides a practical guide for...

Optimization problems subject to constraints governed by partial differential equations (PDEs) are among the most challenging problems in the context of industrial, economical and medical applications. Almost the entire range of problems in this field of research was studied and further explored as part of the Deutsche Forschungsgemeinschaft (DFG) priority program 1253 on “Optimization with Partial Differential Equations” from 2006 to 2013. The investigations were motivated by the fascinat...

This book focuses on the constructive and practical aspects of spectral methods. It rigorously examines the most important qualities as well as drawbacks of spectral methods in the context of numerical methods devoted to solve non-standard eigenvalue problems. In addition, the book also considers some nonlinear singularly perturbed boundary value problems along with eigenproblems obtained by their linearization around constant solutions.The book is mathematical, poising problems in...

This volume is a selection of contributions offered by friends, collaborators, past students in memory of Enrico Magenes. The first part gives a wide historical perspective of Magenes' work in his 50-year mathematical career; the second part contains original research papers, and shows how ideas, methods, and techniques introduced by Magenes and his collaborators still have an impact on the current research in Mathematics.

This book starts by introducing the fundamental concepts of mathematical continuum mechanics for fluids and solids and their coupling. Special attention is given to the derivation of variational formulations for the subproblems describing fluid- and solid-mechanics as well as the coupled fluid-structure interaction problem. Two monolithic formulations for fluid-structure interactions are described in detail: the well-established ALE formulation and the modern Fully Eulerian formulation, wh...

Artie Woodward sees the invisible beings that haunt our world. She recognizes their evil but doesn't know what to do about it, so she's learned to hide from their notice. Until Jed Kendrick moves to town. Suddenly, Artie has an ally, a friend, someone else who sees the unseen. Only Jed doesn't hide. Jed fights back!