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 Boundary Value Problems on [0, 8) (Carmelina Frammartino).- Finite Difference Approximation of a Hyperbolic Transmission Problem (Bosko S. Jovanovic).- Homeomorphisms and Fredholm Theory for Perturbations of Nonlinear Fredholm Maps of Index Zero and of AProper Maps with Applications (P. S. Milojevic).- Singular Support and FLq Continuity of Pseudodifferential Operators (Stevan Pilipovic, Nenad Teofanov and Joachim Toft).- On a Class of Matrix Differential Equations with Polynomial Coefficients (Boro M. Piperevski).- Part V Applications.- Optimized Algorithm for Petviashvili's Method for Finding Solitons in Photonic Lattices (Raka Jovanovic and Milan Tuba).- Explicit Method for the Numerical Solution of the FokkerPlanck Equation of Filtered Phase Noise (Dejan Milic).- Numerical Method for Computer Study of Liquid Phase Sintering: Densification Due to GravityInduced Skeletal Settling (Zoran S. Nikolic).- Computer Algebra and Line Search (Predrag Stanimirovic, Marko Miladinovic and Ivan M. Jovanovic).- Roots of AGbands (Nebojsa Stevanovic and Petar V. Protic).- Context Hidden MarkovModel for Named Entity Recognition (Branimir T. Todorovic, Svetozar R. Rancic, Edin H. Mulalic).- On the Interpolating Quadratic Spline (Zlatko Udovicic).- Visualization of Infinitesimal Bending of Curves (Ljubica S. Velimirovic, Svetozar R. Rancic, Milan Lj. Zlatanovic).