A Theoretical Introduction to Numerical Analysis - Ryaben'kii, Victor S.; Tsynkov, Semyon V.
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Table of contents: Interpolation of Functions. Quadratures. Systems of Algebraic Equations. The Method of Finite Differences for the Numerical Solution of Differential Equations. The Methods of Boundary Equations for the Numerical Solution of Boundary Value Problems. References. Index. Illustrate by sampling numerical methods from mathematical analysis, linear algebra, and differential equations, A Theoretical Introduction to Numerical Analysis presents the general methodology and principles of numerical analysis. The book emphasizes fundamentals and links between sub-disciplines. I…mehr

Produktbeschreibung

Table of contents:
Interpolation of Functions. Quadratures. Systems of Algebraic Equations. The Method of Finite Differences for the Numerical Solution of Differential Equations. The Methods of Boundary Equations for the Numerical Solution of Boundary Value Problems. References. Index.

Illustrated by sampling numerical methods from mathematical analysis, linear algebra, and differential equations, A Theoretical Introduction to Numerical Analysis presents the general methodology and principles of numerical analysis. The book emphasizes fundamentals and links between sub-disciplines. It provides coverage of topics such as Lebesgue constants, Chebyshev polynomials, stability on initial boundary value problems, interpolation in two variables, and splines.. Carefully structured for learning at different levels of depth, this text is organized so that chapters can be read independently, allowing instructors to tailor the course to students' needs, with enough material for three semester long courses.

Illustrated by sampling numerical methods from mathematical analysis, linear algebra, and differential equations, A Theoretical Introduction to Numerical Analysis presents the general methodology and principles of numerical analysis. The book emphasizes fundamentals and links between sub-disciplines. It provides coverage of topics such as Lebesgue constants, Chebyshev polynomials, stability on initial boundary value problems, interpolation in two variables, and splines.. Carefully structured for learning at different levels of depth, this text is organized so that chapters can be read independently, allowing instructors to tailor the course to students' needs, with enough material for three semester long courses.
  • Produktdetails
  • Verlag: CRC PR INC
  • Seitenzahl: 537
  • 2006
  • Ausstattung/Bilder: 544 pages - 50 b/w ill.
  • Englisch
  • Abmessung: 235mm x 166mm x 34mm
  • Gewicht: 889g
  • ISBN-13: 9781584886075
  • ISBN-10: 1584886072
  • Best.Nr.: 21303297

Autorenporträt

Keldysh Institute for Applied Math, Moscow, Russia Moscow 125047 North Carolina State University, Raleigh, NC, USA RALEIGH
Keldysh Institute for Applied Math, Moscow, Russia Moscow 125047 North Carolina State University, Raleigh, NC, USA RALEIGH