Approximation and Computation

Table of Contents

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   Book Overview
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   Chapter 1 The Scientific Work of Gradimir V. Milovanović
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   Chapter 2 My Collaboration with Gradimir V. Milovanović
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   Chapter 3 On Some Major Trends in Mathematics
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   Chapter 4 An Application of Sobolev Orthogonal Polynomials to the Computation of a Special Hankel Determinant
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   Chapter 5 Extremal Problems for Polynomials in the Complex Plane
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   Chapter 6 Energy of Graphs and Orthogonal Matrices
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   Chapter 7 Interlacing Property of Zeros of Shifted Jacobi Polynomials
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   Chapter 8 Trigonometric Orthogonal Systems
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    Chapter 9 Experimental Mathematics Involving Orthogonal Polynomials
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    Chapter 10 Compatibility of Continued Fraction Convergents with Padé Approximants
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    Chapter 11 Orthogonal Decomposition of Fractal Sets
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    Chapter 12 Positive Trigonometric Sums and Starlike Functions
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    Chapter 13 Quadrature Rules for Unbounded Intervals and Their Application to Integral Equations
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    Chapter 14 Gauss-Type Quadrature Formulae for Parabolic Splines with Equidistant Knots
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    Chapter 15 Approximation of the Hilbert Transform on the Real Line Using Freud Weights
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    Chapter 16 The Remainder Term of Gauss–Turán Quadratures for Analytic Functions
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    Chapter 17 Towards a General Error Theory of the Trapezoidal Rule
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    Chapter 18 Finite Difference Method for a Parabolic Problem with Concentrated Capacity and Time-Dependent Operator
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    Chapter 19 Adaptive Finite Element Approximation of the Francfort–Marigo Model of Brittle Fracture
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    Chapter 20 A Nyström Method for Solving a Boundary Value Problem on [0, ∞)
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    Chapter 21 Finite Difference Approximation of a Hyperbolic Transmission Problem
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    Chapter 22 Homeomorphisms and Fredholm Theory for Perturbations of Nonlinear Fredholm Maps of Index Zero and of A -Proper Maps with Applications
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    Chapter 23 Singular Support and $$\mathfrak{F}$$ L q Continuity of Pseudodifferential Operators
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    Chapter 24 On a Class of Matrix Differential Equations with Polynomial Coefficients
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    Chapter 25 Optimized Algorithm for Petviashvili’s Method for Finding Solitons in Photonic Lattices
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    Chapter 26 Explicit Method for the Numerical Solution of the Fokker-Planck Equation of Filtered Phase Noise
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    Chapter 27 Numerical Method for Computer Study of Liquid Phase Sintering: Densification Due to Gravity-Induced Skeletal Settling
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    Chapter 28 Computer Algebra and Line Search
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    Chapter 29 Roots of AG -bands
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    Chapter 30 Context Hidden Markov Model for Named Entity Recognition
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    Chapter 31 On the Interpolating Quadratic Spline
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    Chapter 32 Visualization of Infinitesimal Bending of Curves