Approximation and Computation

In Honor of Gradimir V. Milovanović

ISBN: 978-1-4419-6593-6 (Print) 978-1-4419-6594-3 (Online)

Table of contents (32 chapters)

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  1. Front Matter

    Pages i-xvii

  2. Introduction

    1. Front Matter

      Pages 1-1

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      Book Chapter

      Pages 3-32

      The Scientific Work of Gradimir V. Milovanović

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      Book Chapter

      Pages 33-43

      My Collaboration with Gradimir V. Milovanović

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      Book Chapter

      Pages 45-49

      On Some Major Trends in Mathematics

  3. Polynomials and Orthogonal Systems

    1. Front Matter

      Pages 51-51

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      Book Chapter

      Pages 53-60

      An Application of Sobolev Orthogonal Polynomials to the Computation of a Special Hankel Determinant

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      Book Chapter

      Pages 61-85

      Extremal Problems for Polynomials in the Complex Plane

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      Book Chapter

      Pages 87-96

      Energy of Graphs and Orthogonal Matrices

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      Book Chapter

      Pages 97-101

      Interlacing Property of Zeros of Shifted Jacobi Polynomials

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      Book Chapter

      Pages 103-116

      Trigonometric Orthogonal Systems

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      Book Chapter

      Pages 117-134

      Experimental Mathematics Involving Orthogonal Polynomials

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      Book Chapter

      Pages 135-144

      Compatibility of Continued Fraction Convergents with Padé Approximants

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      Book Chapter

      Pages 145-156

      Orthogonal Decomposition of Fractal Sets

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      Book Chapter

      Pages 157-182

      Positive Trigonometric Sums and Starlike Functions

  4. Quadrature Formulae

    1. Front Matter

      Pages 183-183

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      Book Chapter

      Pages 185-208

      Quadrature Rules for Unbounded Intervals and Their Application to Integral Equations

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      Book Chapter

      Pages 209-231

      Gauss-Type Quadrature Formulae for Parabolic Splines with Equidistant Knots

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      Book Chapter

      Pages 233-252

      Approximation of the Hilbert Transform on the Real Line Using Freud Weights

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      Book Chapter

      Pages 253-266

      The Remainder Term of Gauss–Turán Quadratures for Analytic Functions

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      Book Chapter

      Pages 267-282

      Towards a General Error Theory of the Trapezoidal Rule

  5. DIFFERENTIAL EQUATIONS

    1. Front Matter

      Pages 283-283

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      Book Chapter

      Pages 285-296

      Finite Difference Method for a Parabolic Problem with Concentrated Capacity and Time-Dependent Operator

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      Book Chapter

      Pages 297-310

      Adaptive Finite Element Approximation of the Francfort–Marigo Model of Brittle Fracture

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      Book Chapter

      Pages 311-325

      A Nyström Method for Solving a Boundary Value Problem on [0, ∞)

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