Approximation and computation: In honor of Gradimir V. Milovanovic

Front Matter....Pages i-xvii
Front Matter....Pages 1-1
The Scientific Work of Gradimir V. Milovanović....Pages 3-32
My Collaboration with Gradimir V. Milovanović....Pages 33-43
On Some Major Trends in Mathematics....Pages 45-49
Front Matter....Pages 51-51
An Application of Sobolev Orthogonal Polynomials to the Computation of a Special Hankel Determinant....Pages 53-60
Extremal Problems for Polynomials in the Complex Plane....Pages 61-85
Energy of Graphs and Orthogonal Matrices....Pages 87-96
Interlacing Property of Zeros of Shifted Jacobi Polynomials....Pages 97-101
Trigonometric Orthogonal Systems....Pages 103-116
Experimental Mathematics Involving Orthogonal Polynomials....Pages 117-134
Compatibility of Continued Fraction Convergents with Padé Approximants....Pages 135-144
Orthogonal Decomposition of Fractal Sets....Pages 145-156
Positive Trigonometric Sums and Starlike Functions....Pages 157-182
Front Matter....Pages 183-183
Quadrature Rules for Unbounded Intervals and Their Application to Integral Equations....Pages 185-208
Gauss-Type Quadrature Formulae for Parabolic Splines with Equidistant Knots....Pages 209-231
Approximation of the Hilbert Transform on the Real Line Using Freud Weights....Pages 233-252
The Remainder Term of Gauss–Turán Quadratures for Analytic Functions....Pages 253-266
Towards a General Error Theory of the Trapezoidal Rule....Pages 267-282
Front Matter....Pages 283-283
Finite Difference Method for a Parabolic Problem with Concentrated Capacity and Time-Dependent Operator....Pages 285-296
Adaptive Finite Element Approximation of the Francfort–Marigo Model of Brittle Fracture....Pages 297-310
A Nyström Method for Solving a Boundary Value Problem on [0, ∞)....Pages 311-325
Front Matter....Pages 283-283
Finite Difference Approximation of a Hyperbolic Transmission Problem....Pages 327-337
Homeomorphisms and Fredholm Theory for Perturbations of Nonlinear Fredholm Maps of Index Zero and of A -Proper Maps with Applications....Pages 339-363
Singular Support and $$\\mathfrak{F}$$ L q Continuity of Pseudodifferential Operators....Pages 365-383
On a Class of Matrix Differential Equations with Polynomial Coefficients....Pages 385-390
Front Matter....Pages 391-391
Optimized Algorithm for Petviashvili’s Method for Finding Solitons in Photonic Lattices....Pages 393-400
Explicit Method for the Numerical Solution of the Fokker-Planck Equation of Filtered Phase Noise....Pages 401-407
Numerical Method for Computer Study of Liquid Phase Sintering: Densification Due to Gravity-Induced Skeletal Settling....Pages 409-424
Computer Algebra and Line Search....Pages 425-438
Roots of AG -bands....Pages 439-445
Context Hidden Markov Model for Named Entity Recognition....Pages 447-460
On the Interpolating Quadratic Spline....Pages 461-467
Visualization of Infinitesimal Bending of Curves....Pages 469-480