The research of Jonathan Borwein has had a profound impact on optimization, functional analysis, operations research, mathematical programming, number theory, and experimental mathematics. Having authored more than a dozen books and more than 300 publications, Jonathan Borwein is one of the most productive Canadian mathematicians ever. His research spans pure, applied, and computational mathematics as well as high performance computing, and continues to have an enormous impact: MathSciNet lists more than 2500 citations by more than 1250 authors, and Borwein is one of the 250 most cited mathematicians of the period 1980-1999. He has served the Canadian Mathematics Community through his presidency (2000-02) as well as his 15 years of editing the CMS book series. Jonathan Borwein's vision and initiative have been crucial in initiating and developing several institutions that provide support for researchers with a wide range of scientific interests. A few notable examples include the Centre for Experimental and Constructive Mathematics and the IRMACS Centre at Simon Fraser University, the Dalhousie Distributed Research Institute at Dalhousie University, the Western Canada Research Grid, and the Centre for Computer Assisted Research Mathematics and its Applications, University of Newcastle. The workshops that were held over the years in Dr. Borwein's honor attracted high-caliber scientists from a wide range of mathematical fields. This present volume is an outgrowth of the workshop on 'Computational and Analytical Mathematics' held in May 2011 in celebration of Dr. Borwein's 60th Birthday. The collection contains various state-of-the-art research manuscripts and surveys presenting contributions that have risen from the conference, and is an excellent opportunity to survey state-of-the-art research and discuss promising research directions and approaches.

The research of Jonathan Borwein has had a profound impact on optimization, functional analysis, operations research, mathematical programming, number theory, and experimental mathematics. Having authored more than a dozen books and more than 300 publications, Jonathan Borwein is one of the most productive Canadian mathematicians ever. His research spans pure, applied, and computational mathematics as well as high performance computing, and continues to have an enormous impact: MathSciNet lists more than 2500 citations by more than 1250 authors, and Borwein is one of the 250 most cited mathematicians of the period 1980-1999. He has served the Canadian Mathematics Community through his presidency (2000-02) as well as his 15 years of editing the CMS book series. Jonathan Borwein's vision and initiative have been crucial in initiating and developing several institutions that provide support for researchers with a wide range of scientific interests. A few notable examples include the Centre for Experimental and Constructive Mathematics and the IRMACS Centre at Simon Fraser University, the Dalhousie Distributed Research Institute at Dalhousie University, the Western Canada Research Grid, and the Centre for Computer Assisted Research Mathematics and its Applications, University of Newcastle. The workshops that were held over the years in Dr. Borwein's honor attracted high-caliber scientists from a wide range of mathematical fields. This present volume is an outgrowth of the workshop on 'Computational and Analytical Mathematics' held in May 2011 in celebration of Dr. Borwein's 60th Birthday. The collection contains various state-of-the-art research manuscripts and surveys presenting contributions that have risen from the conference, and is an excellent opportunity to survey state-of-the-art research and discuss promising research directions and approaches.

This volume is a collection of papers presented at the Workshop on fll-Posed Variational Problems and Regularization Techniques held at the University of Trier (Germany) in September 1998. From September 3 through September 5, 1998, about 50 scientists met at Trier to discuss recent developments in the field of ill-posed variational prob lems and variational inequalities. 17 lectures were delivered, covering a large range of theoretical, numerical and practical aspects. The topics, as well as the invited speakers, were selected by the organizers. The main topics dis cussed were o Regularization methods for equilibrium problems o Variational inequalities and complementarity problems and their reg ularization o Regularization of fixed point problems o Links between approximation, penalization and regularization o Bundle methods, nonsmooth optimization and regularization o Error bounds for regularized optimization problems The organizers are gratful to all participants for their contribution to the success of this workshop. We also wish to express our cordial thanks for the financial support granted by the Deutsche Forschungsgemeinschajt, Bonn and the University of Trier. We are indebted to the referees for their helpful comments and suggestions and to our colleagues of the University Trier for their assistance in preparing this volume. M. Thera, U niversite de Limoges (France) R. Tichatschke, University of Trier (Germany) Contents Antipin A., Vasil'ev F. Regularization Method for Equilibrium Programming Problem with Inaccurate Initial Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 Attouch H., Champion T. LP-Regularization of the Non-Parametric Minimal Surface Problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 Auslender A., Teboulle M., Ben-Tiba S."