TY  - BOOK
AU  - Cesarano, Clemente
AB  - 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.
DO  - 10.3390/books978-3-03928-373-6
ID  - OAPEN ID: 44763
KW  - risk assessment
KW  - complex Lagrangian
KW  - effective order
KW  - logarithmic singularities
KW  - Swift–Hohenberg type of equation
KW  - Cauchy singularity
KW  - differential equations
KW  - unitary extension principle
KW  - oscillatory solutions
KW  - coupling impedance
KW  - Fredholm integral equations
KW  - dual integral equations
KW  - composition properties
KW  - delay differential equations
KW  - chemical reaction
KW  - Noether symmetries
KW  - symplectic Runge–Kutta methods
KW  - order conditions
KW  - non-homogeneous
KW  - wavelets
KW  - multiresolution analysis
KW  - narrow band domain
KW  - pseudo-Chebyshev polynomials
KW  - highly oscillatory integrals
KW  - tight framelets
KW  - Chebyshev polynomials
KW  - nonoscillatory solutions
KW  - ignition hazard
KW  - quad-colored trees
KW  - general solution
KW  - operator splitting method
KW  - fourth-order ODEs
KW  - offshore plant
KW  - special function
KW  - second-order
KW  - surfaces
KW  - numerical analysis
KW  - effective field strength
KW  - closest point method
KW  - oblique extension principle
KW  - heat generation
KW  - B-splines
KW  - Runge-Kutta type methods
KW  - orthogonality properties
KW  - Frobenius method
KW  - hamiltonian systems
KW  - B-series
KW  - k-hypergeometric series
KW  - particle accelerator
KW  - first integrals
KW  - partitioned runge-kutta methods
KW  - Clenshaw-Curtis quadrature
KW  - recurrence relations
KW  - thin needle
KW  - nanofluid
KW  - Hamiltonian system
KW  - k-hypergeometric differential equations
KW  - steepest descent method
KW  - symplecticity
KW  - fourth-order
L1  - https://mdpi.com/books/pdfview/book/2039
LA  - English
LK  - https://directory.doabooks.org/handle/20.500.12854/54913
PB  - MDPI - Multidisciplinary Digital Publishing Institute
PY  - 2020
SN  - 9783039283736
SN  - 9783039283729
TI  - Numerical Analysis or Numerical Method in Symmetrynull
ER  - 
