Thanh Tran

This book provides a comprehensive examination of preconditioners for boundary element discretisations of first-kind integral equations. Focusing on domain-decomposition-type and multilevel methods, it allows readers to gain a good understanding of the mechanisms and necessary techniques in the analysis of the preconditioners. These techniques are unique for the discretisation of first-kind integral equations since the resulting systems of linear equations are not only large and ill-conditioned, but also dense. The book showcases state-of-the-art preconditioning techniques for boundary integral equations, presenting up-to-date research. It also includes a detailed discussion of Sobolev spaces of fractional orders to familiarise readers with important mathematical tools for the analysis. Furthermore, the concise overview of adaptive BEM, hp-version BEM, and coupling of FEM-BEM provides efficient computational tools for solving practical problems with applications in science and engineering.

This book provides a comprehensive examination of preconditioners for boundary element discretisations of first-kind integral equations. Focusing on domain-decomposition-type and multilevel methods, it allows readers to gain a good understanding of the mechanisms and necessary techniques in the analysis of the preconditioners. These techniques are unique for the discretisation of first-kind integral equations since the resulting systems of linear equations are not only large and ill-conditioned, but also dense. The book showcases state-of-the-art preconditioning techniques for boundary integral equations, presenting up-to-date research. It also includes a detailed discussion of Sobolev spaces of fractional orders to familiarise readers with important mathematical tools for the analysis. Furthermore, the concise overview of adaptive BEM, hp-version BEM, and coupling of FEM-BEM provides efficient computational tools for solving practical problems with applications in science and engineering.

Divine Love - Life Love - Human Love: My Mother Is My Aunt-in-Law is a practical, social, pastoral, spiritual, and theological novel. It is about the story of a girl who was brought up by her foster mother. She did not know that her foster mother was not her natural mother until the mother had passed away, because she had always loved and cared for her wholeheartedly, tenderly, and sincerely. From a girl who did not have much faith in God, the daughter had changed unbelievably to have strong faith in the Creator and to be willing and desiring to serve people around her. She decided to give her life to God by entering a convent to become a nun, and she also remained serving people tirelessly in her vocation as a doctor. The conversion of her life happened through the way she felt and understood the wonderful love of her foster and natural mothers for her and the unconditional love of God for her and for humanity. Through this story, the author wishes that the readers may be moved and begin to think about the grace and love of God for them and for the whole human race. He wants all people to slow down the ways they live their lives and learn to feel more, to feel more about others, about themselves, about life, about the meaning of their existence and living, and especially to feel more about God's love for them.

Developing Cross-Cultural Measurement in Social Work Research and Evaluation, Second Edition is an applied practice-to-research text, with a focus on developing, assessing, and validating meaningful measurements across cultures and populations. This book deeply examines cultural differences that may present problems with measurements for target populations relevant to social work researchers, and features practical hands-on solutions to managing these problems using advanced quantitative methods. The authors present a step-by step approach, beginning with the conceptualization of measurements for different cultures, the processes involved in identifying item questions, and the quantitative techniques that can be used to validate new or pre-existing measures. This Second Edition also includes sample syntax from publicly available data for social work researchers to learn to conduct these types of analyses with their own research. New to the Second Edition: - Emphasis on Item Response Theory, and a new chapter devoted to the concept. - Increased focus on the process of instrument development, based on real-world examples - in particular, a detailed examination of the development of a new cross-cultural instrument, the Empathy Scale, created and validated by a group of multinational and culturally diverse students from the US, China, Mexico, and Turkey under the supervision of Dr. Tran. - Significant updates of all content to reflect new developments in cross-cultural research across social sciences and psychological disciplines.