Approximation and Computation

Part I Introduction..- The Scientific Work of Gradimir V. Milovanovic (Aleksandar Ivic).- My Collaboration with Gradimir V. Milovanovic (Walter Gautschi) .- On Some Major Trends in Mathematics (Themistocles M. Rassias).- Part II Polynomials and Orthogonal Systems .- An Application of Sobolev Orthogonal Polynomials to the Computation of a Special Hankel Determinant (Paul Barry, Predrag M. Rajkovic and Marko D. Petkovic).- Extremal Problems for Polynomials in the Complex Plane (Borislav Bojanov).- Energy of Graphs and OrthogonalMatrices (V. Bozin and M. Mateljevic).- Interlacing Property of Zeros of Shifted Jacobi Polynomials (Aleksandar S. Cvetkovic).- Trigonometric Orthogonal Systems (Aleksandar S. Cvetkovic and Marija P. Stanic).- Experimental Mathematics Involving Orthogonal Polynomials (Walter Gautschi).- Compatibility of Continued Fraction Convergents with Padé Approximants (Jacek Gilewicz and Radoslaw Jedynak).- Orthogonal Decomposition of Fractal Sets (Ljubisa M. Kocic, Sonja Gegovska Zajkova, Elena Babace).- Positive Trigonometric Sums and Starlike Functions (Stamatis Koumandos).- Part III Quadrature Formulae..- Quadrature Rules for Unbounded Intervals and Their Application to Integral Equations (G. Monegato, L. Scuderi).- GaussType Quadrature Formulae for Parabolic Splines with Equidistant Knots (Geno Nikolov and Corina Simian).- Approximation of the Hilbert Transform on the Real Line Using Freud Weights (Incoronata Notarangelo) .- The Remainder Term of GaussTur´an Quadratures for Analytic Functions (Miodrag M. Spalevic and Miroslav S. Pranic).- Towards a General Error Theory of the Trapezoidal Rule (Jörg Waldvogel).- Part IV Differential Equations.- Finite Difference Method for a Parabolic Problem with Concentrated Capacity and TimeDependent Operator (Dejan R. Bojovic and Bosko S. Jovanovic).- Adaptive Finite Element Approximation of the FrancfortMarigo Model of Brittle Fracture (Siobhan Burke, Christoph Ortner andEndre Süli).- A NyströmMethod for Solving a