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Numerical Analysis or Numerical Method in Symmetry
Clemente Cesarano
2020
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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.
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Keywords
- B-series
- B-splines
- Cauchy singularity
- Chebyshev polynomials
- chemical reaction
- Clenshaw-Curtis quadrature
- closest point method
- complex Lagrangian
- composition properties
- coupling impedance
- delay differential equations
- Differential equations
- dual integral equations
- effective field strength
- effective order
- first integrals
- fourth-order
- fourth-order ODEs
- Fredholm integral equations
- Frobenius method
- general solution
- Hamiltonian system
- Hamiltonian systems
- heat generation
- highly oscillatory integrals
- ignition hazard
- k-hypergeometric differential equations
- k-hypergeometric series
- logarithmic singularities
- multiresolution analysis
- nanofluid
- narrow band domain
- Noether symmetries
- non-homogeneous
- nonoscillatory solutions
- Numerical analysis
- oblique extension principle
- offshore plant
- operator splitting method
- order conditions
- orthogonality properties
- oscillatory solutions
- Particle Accelerator
- partitioned runge-kutta methods
- pseudo-Chebyshev polynomials
- quad-colored trees
- recurrence relations
- Risk assessment
- Runge-Kutta type methods
- second-order
- special function
- steepest descent method
- Surfaces
- Swift–Hohenberg type of equation
- symplectic Runge–Kutta methods
- symplecticity
- thin needle
- tight framelets
- unitary extension principle
- wavelets
Links
DOI: 10.3390/books978-3-03928-373-6Editions
