Bøger af Pekka Neittaanmäki

The position taken in this collection of pedagogically written essays is that conjugate gradient algorithms and finite element methods complement each other extremely well. Via their combinations practitioners have been able to solve complicated, direct and inverse, multidemensional problems modeled by ordinary or partial differential equations and inequalities, not necessarily linear, optimal control and optimal design being part of these problems.The aim of this book is to present both methods in the context of complicated problems modeled by linear and nonlinear partial differential equations, to provide an in-depth discussion on their implementation aspects. The authors show that conjugate gradient methods and finite element methods apply to the solution of real-life problems. They address graduate students as well as experts in scientific computing.

This book discusses the stability of axially moving materials, which are encountered in process industry applications such as papermaking.

This volume studies electron resonant tunneling in two- and three-dimensional quantum waveguides of variable cross-sections in the time-independent approach. Mathematical models are suggested for the resonant tunneling and develop asymptotic and numerical approaches for investigating the models.

This volume provides universal methodologies accompanied by Matlab software to manipulate numerous signal and image processing applications. SHA reduces the design of different spline types such as splines, spline wavelets (SW), wavelet frames (SWF) and wavelet packets (SWP) and their manipulations by simple operations.

This book presents recent trends and advances in the theory of directly computable error estimates (error indicators). It discusses the corresponding numerical algorithms in the context of various typical models in engineering and scientific computations.

Using analytical and semi-analytical approaches to calculate out-of-plane dynamics and stability, this volume includes new results on fundamental aspects of moving materials that can be applied to industrial processes from paper-making to foil extrusion.

The aim of this book is to present the mathematical theory and the know-how to make computer programs for the numerical approximation of Optimal Control of PDE's.

Spline and Spline Wavelet Methods with Applications to Signal and Image Processing Vol. II

A self-contained elementary study for nonsmooth analysis and optimization, and their use in solution of nonsmooth optimal control problems.

In this regard, we refer to the works of Pironneau [1984], Haslinger and Neittaanmaki [1988], [1996], Sokolowski and Zolksio [1992], Litvinov [2000], Allaire [2001], Mohammadi and Pironneau [2001], Delfour and Zolksio [2001], and Makinen and Haslinger [2003].

This text details new ways to formulate problems of structural optimization with incomplete information and solution techniques. It is mostly devoted to the minimax approach using worst case scenario, but it also covers mixed probabilistic guaranteed approach.

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