Reprint
Numerical Analysis or Numerical Method in Symmetry
Edited by
February 2020
194 pages
- ISBN978-3-03928-372-9 (Paperback)
- ISBN978-3-03928-373-6 (PDF)
This book is a reprint of the Special Issue Numerical Analysis or Numerical Method in Symmetry that was published in
Biology & Life Sciences
Chemistry & Materials Science
Computer Science & Mathematics
Physical Sciences
Summary
This Special Issue focuses mainly on techniques and the relative formalism typical of numerical methods and therefore of numerical analysis, more generally. These fields of study of mathematics represent an important field of investigation both in the field of applied mathematics and even more exquisitely in the pure research of the theory of approximation and the study of polynomial relations as well as in the analysis of the solutions of the differential equations both ordinary and partial derivatives. Therefore, a substantial part of research on the topic of numerical analysis cannot exclude the fundamental role played by approximation theory and some of the tools used to develop this research. In this Special Issue, we want to draw attention to the mathematical methods used in numerical analysis, such as special functions, orthogonal polynomials, and their theoretical tools, such as Lie algebra, to study the concepts and properties of some special and advanced methods, which are useful in the description of solutions of linear and nonlinear differential equations. A further field of investigation is dedicated to the theory and related properties of fractional calculus with its adequate application to numerical methods.
Format
- Paperback
License
© 2020 by the authors; CC BY-NC-ND license
Keywords
risk assessment; numerical analysis; ignition hazard; effective field strength; offshore plant; Hamiltonian system; complex Lagrangian; Noether symmetries; first integrals; symplectic Runge–Kutta methods; effective order; partitioned runge-kutta methods; symplecticity; hamiltonian systems; Runge-Kutta type methods; fourth-order ODEs; order conditions; B-series; quad-colored trees; k-hypergeometric differential equations; non-homogeneous; k-hypergeometric series; special function; general solution; Frobenius method; Chebyshev polynomials; pseudo-Chebyshev polynomials; recurrence relations; differential equations; composition properties; orthogonality properties; numerical analysis; heat generation; chemical reaction; thin needle; nanofluid; fourth-order; nonoscillatory solutions; oscillatory solutions; delay differential equations; particle accelerator; coupling impedance; dual integral equations; Clenshaw-Curtis quadrature; steepest descent method; logarithmic singularities; Cauchy singularity; highly oscillatory integrals; second-order; nonoscillatory solutions; oscillatory solutions; delay differential equations; Fredholm integral equations; multiresolution analysis; unitary extension principle; oblique extension principle; B-splines; wavelets; tight framelets; Swift–Hohenberg type of equation; surfaces; narrow band domain; closest point method; operator splitting method