**Meet the editor**

Dr İlkay Bakırtaş is currently working as associate professor of applied mathematics in Istanbul Technical University (ITU), Department of Mathematics. She received her PhD degree in Mechanics from ITU in 2003. She has completed her post doctoral studies from the University of Colorado at Boulder, USA. She has published 16 research papers in peer reviewed journals in SCI, 4 book

chapters, 18 conference proceedings in the fields of perturbation methods, nonlinear wave propagation in arteries, optical solitons and wave collapse in optics and water waves problems. Dr. Bakırtaş is a member of the Scientific Committee of TUMTMK (Turkish National Committee of Theoretical and Applied Mechanics) and she was awarded with "Dr. Serhat Ozyar, Young Scientist Of The Year Award" in 2004 and "Best PhD Dissertation Award" by TUMTMK in 2003.

Contents

**Preface VII**

**Properties 1**

Sidi Mohamed Bahri

Albert Morozov

Chapter 1 **Density Functional Perturbation Theory to Predict Piezoelectric**

Chapter 2 **Sliding-Mode Perturbation Observer-Based Sliding-Mode**

Bo Yang, Tao Yu, Hongchun Shu and Pulin Cao

Chapter 3 **A Formal Perturbation Theory of Carleman Operators 49**

Chapter 4 **On Optimal and Simultaneous Stochastic Perturbations with**

**Assimilation in High-Dimensional Systems 61**

**Application to Estimation of High-Dimensional Matrix and Data**

Baudel Lara Lara, Arturo Fernández Madrigal, Lizbeth Morales Salas

**to Solve a Nonlinear Pseudo-Parabolic Equation: The Saturation**

**Control for VSC-HVDC Systems 19**

Hong Son Hoang and Remy Baraille

Chapter 5 **Periodic Perturbations: Parametric Systems 81**

and Alejandro Altamirano Gutiérrez

**Convection-Dispersion Equation 117**

Chapter 6 **Mechanical Perturbations at the Working Electrode to Materials Synthesis by Electrodeposition 99**

Chapter 7 **Application of the Method of Matched Asymptotic Expansions**

Cíntia Gonçalves Machado and Albert C. Reynolds

Kaoru Nakamura, Sadao Higuchi and Toshiharu Ohnuma
