Numerical Analysis or Numerical Method in Symmetry
Cesarano, Clemente
Numerical Analysis or Numerical Method in Symmetry - MDPI - Multidisciplinary Digital Publishing Institute 2020 - 1 electronic resource (194 p.)
Open Access
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.
Creative Commons
English
books978-3-03928-373-6 9783039283736 9783039283729
10.3390/books978-3-03928-373-6 doi
risk assessment complex Lagrangian effective order logarithmic singularities Swift-Hohenberg type of equation Cauchy singularity differential equations unitary extension principle oscillatory solutions coupling impedance Fredholm integral equations dual integral equations composition properties delay differential equations chemical reaction Noether symmetries symplectic Runge-Kutta methods order conditions non-homogeneous wavelets multiresolution analysis narrow band domain pseudo-Chebyshev polynomials highly oscillatory integrals tight framelets Chebyshev polynomials nonoscillatory solutions ignition hazard quad-colored trees general solution operator splitting method fourth-order ODEs offshore plant special function second-order surfaces numerical analysis effective field strength closest point method oblique extension principle heat generation B-splines Runge-Kutta type methods orthogonality properties Frobenius method hamiltonian systems B-series k-hypergeometric series particle accelerator first integrals partitioned runge-kutta methods Clenshaw-Curtis quadrature recurrence relations thin needle nanofluid Hamiltonian system k-hypergeometric differential equations steepest descent method symplecticity fourth-order
Numerical Analysis or Numerical Method in Symmetry - MDPI - Multidisciplinary Digital Publishing Institute 2020 - 1 electronic resource (194 p.)
Open Access
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.
Creative Commons
English
books978-3-03928-373-6 9783039283736 9783039283729
10.3390/books978-3-03928-373-6 doi
risk assessment complex Lagrangian effective order logarithmic singularities Swift-Hohenberg type of equation Cauchy singularity differential equations unitary extension principle oscillatory solutions coupling impedance Fredholm integral equations dual integral equations composition properties delay differential equations chemical reaction Noether symmetries symplectic Runge-Kutta methods order conditions non-homogeneous wavelets multiresolution analysis narrow band domain pseudo-Chebyshev polynomials highly oscillatory integrals tight framelets Chebyshev polynomials nonoscillatory solutions ignition hazard quad-colored trees general solution operator splitting method fourth-order ODEs offshore plant special function second-order surfaces numerical analysis effective field strength closest point method oblique extension principle heat generation B-splines Runge-Kutta type methods orthogonality properties Frobenius method hamiltonian systems B-series k-hypergeometric series particle accelerator first integrals partitioned runge-kutta methods Clenshaw-Curtis quadrature recurrence relations thin needle nanofluid Hamiltonian system k-hypergeometric differential equations steepest descent method symplecticity fourth-order