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 Pade 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 Gauss-Type 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 Gauss-Tur'an Quadratures for Analytic Functions Miodrag M. Spalevic and Miroslav S. Pranic Towards a General Error Theory of the Trapezoidal Rule JorgWaldvogel Part IV Differential Equations Finite Difference Method for a Parabolic Problem with Concentrated Capacity and Time-Dependent Operator Dejan R. Bojovic and Bosko S. Jovanovic Adaptive Finite Element Approximation of the Francfort-MarigoModel of Brittle Fracture Siobhan Burke, Christoph Ortner and Endre Suli A NystromMethod for Solving a Boundary Value Problems on [0, ) 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 A-Proper 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 Fokker-Planck Equation of Filtered Phase Noise Dejan Milic Numerical Method for Computer Study of Liquid Phase Sintering: Densification Due to Gravity-Induced Skeletal Settling Zoran S. Nikolic Computer Algebra and Line Search Predrag Stanimirovic, Marko Miladinovic and Ivan M. Jovanovic Roots of AG-bands 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