Approximation and Computation In Honor of Gradimir V. Milovanović /
Approximation theory and numerical analysis are central to the creation of accurate computer simulations and mathematical models. Research in these areas can influence the computational techniques used in a variety of mathematical and computational sciences. This collection of contributed chapters,...
| Συγγραφή απο Οργανισμό/Αρχή: | |
|---|---|
| Άλλοι συγγραφείς: | , , |
| Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
| Γλώσσα: | English |
| Έκδοση: |
New York, NY :
Springer New York,
2011.
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| Σειρά: | Springer Optimization and Its Applications,
42 |
| Θέματα: | |
| Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- Part I Introduction.
- The Scientific Work of Gradimir V. Milovanović (Aleksandar Ivić)
- My Collaboration with Gradimir V. Milovanović (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. Rajković and Marko D. Petković)
- Extremal Problems for Polynomials in the Complex Plane (Borislav Bojanov)
- Energy of Graphs and OrthogonalMatrices (V. Božin and M. Mateljević)
- Interlacing Property of Zeros of Shifted Jacobi Polynomials (Aleksandar S. Cvetković)
- Trigonometric Orthogonal Systems (Aleksandar S. Cvetković and Marija P. Stanić)
- Experimental Mathematics Involving Orthogonal Polynomials (Walter Gautschi)
- Compatibility of Continued Fraction Convergents with Padé Approximants (Jacek Gilewicz and Radosław Jedynak)
- Orthogonal Decomposition of Fractal Sets (Ljubiša M. Kocić, Sonja Gegovska Zajkova, Elena Babače)
- 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. Spalević and Miroslav S. Pranić)
- 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. Bojović and Boško S. Jovanović)
- Adaptive Finite Element Approximation of the FrancfortMarigo Model of Brittle Fracture (Siobhan Burke, Christoph Ortner and Endre Süli)
- A NyströmMethod for Solving a Boundary Value Problems on [0, ∞) (Carmelina Frammartino)
- Finite Difference Approximation of a Hyperbolic Transmission Problem (Boško S. Jovanović)
- Homeomorphisms and Fredholm Theory for Perturbations of Nonlinear Fredholm Maps of Index Zero and of AProper Maps with Applications (P. S. Milojević)
- Singular Support and FLq Continuity of Pseudodifferential Operators (Stevan Pilipović, 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 Jovanović and Milan Tuba)
- Explicit Method for the Numerical Solution of the FokkerPlanck Equation of Filtered Phase Noise (Dejan Milić)
- Numerical Method for Computer Study of Liquid Phase Sintering: Densification Due to GravityInduced Skeletal Settling (Zoran S. Nikolić)
- Computer Algebra and Line Search (Predrag Stanimirović, Marko Miladinović and Ivan M. Jovanović)
- Roots of AGbands (Nebojša Stevanović and Petar V. Protić)
- Context Hidden MarkovModel for Named Entity Recognition (Branimir T. Todorović, Svetozar R. Rančić, Edin H. Mulalić)
- On the Interpolating Quadratic Spline (Zlatko Udovičić)
- Visualization of Infinitesimal Bending of Curves (Ljubica S. Velimirović, Svetozar R. Rančić, Milan Lj. Zlatanović).
