Numerical Analysis or Numerical Method in Symmetry
Numerical Analysis or Numerical Method in Symmetry
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.
recurrence relations, delay differential equations, particle accelerator, dual integral equations, numerical analysis, nonoscillatory solutions, k-hypergeometric series, unitary extension principle, order conditions, partitioned runge-kutta methods, quad-colored trees, special function, non-homogeneous, multiresolution analysis, composition properties, Q1-390, B-series, symplectic Runge–Kutta methods, effective field strength, coupling impedance, narrow band domain, Noether symmetries, orthogonality properties, risk assessment, Fredholm integral equations, ignition hazard, operator splitting method, general solution, thin needle, offshore plant, highly oscillatory integrals, closest point method, chemical reaction, oscillatory solutions, second-order, first integrals, pseudo-Chebyshev polynomials, Cauchy singularity, surfaces, bic Book Industry Communication::P Mathematics & science, wavelets, complex Lagrangian, oblique extension principle, B-splines, Clenshaw-Curtis quadrature, QA1-939, Swift–Hohenberg type of equation, heat generation, fourth-order, Runge-Kutta type methods, symplecticity, k-hypergeometric differential equations, differential equations, steepest descent method, effective order, fourth-order ODEs, hamiltonian systems, tight framelets, logarithmic singularities, nanofluid, Hamiltonian system, Chebyshev polynomials, Frobenius method
recurrence relations, delay differential equations, particle accelerator, dual integral equations, numerical analysis, nonoscillatory solutions, k-hypergeometric series, unitary extension principle, order conditions, partitioned runge-kutta methods, quad-colored trees, special function, non-homogeneous, multiresolution analysis, composition properties, Q1-390, B-series, symplectic Runge–Kutta methods, effective field strength, coupling impedance, narrow band domain, Noether symmetries, orthogonality properties, risk assessment, Fredholm integral equations, ignition hazard, operator splitting method, general solution, thin needle, offshore plant, highly oscillatory integrals, closest point method, chemical reaction, oscillatory solutions, second-order, first integrals, pseudo-Chebyshev polynomials, Cauchy singularity, surfaces, bic Book Industry Communication::P Mathematics & science, wavelets, complex Lagrangian, oblique extension principle, B-splines, Clenshaw-Curtis quadrature, QA1-939, Swift–Hohenberg type of equation, heat generation, fourth-order, Runge-Kutta type methods, symplecticity, k-hypergeometric differential equations, differential equations, steepest descent method, effective order, fourth-order ODEs, hamiltonian systems, tight framelets, logarithmic singularities, nanofluid, Hamiltonian system, Chebyshev polynomials, Frobenius method
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