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Conference organizers Institute of Mathematics of University of Tartu (Estonia) Estonian Mathematical Society Vilnius Gediminas Technical University (Lithuania) The conference focuses on various aspects of mathematical modelling and usage of numerical methods in modern problems of science and engineering. It aims, in particular, to foster cooperation among various specialists in this field. Working language of the Conference is English. The main topics Modelling and Analysis of Problems of Mathematical Physics and Engineering. Approximation Methods for Differential, Integral and Operator Equations and Applications. Orthogonal Expansions, Wavelets and Splines. Inverse and Ill-Posed Problems. The scientific program includes invited plenary talks (40 min) and contributed talks (20 min). Up to now the following plenary speakers have confirmed their participation: Hermann Brunner (Hong Kong Baptist University, China, and Memorial University, Canada) Andris Buikis (University of Latvia, Latvia) Raimondas Èiegis (Vilnius Gediminas Technical University, Lithuania) Ivan Graham (University of Bath, UK) Zdzislaw Jackiewicz (Arizona State University, USA) Zuhair Nashed (University of Central Florida, USA) Sergei Pereverzyev (Johann Radon Institute, Austria) Ian Sloan (University of New South Wales, Sydney, Australia) Ulrich Tautenhahn (University of Applied Sciences Zittau/Görlitz, Germany) Gennadi Vainikko (University of Tartu, Estonia) Vladimir V. Vasin (Institute Mathematics and Mechanics, Ekaterinburg, Russia)