Titlebook: Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations; Xinyuan Wu,Bin Wang Book 2018 Springer Natu

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Chemotherapy

Exponential Average-Vector-Field Integrator for Conservative or Dissipative Systems,tem. Incorporating the discrete gradients with exponential integrators, we discuss a novel exponential integrator for the conservative or dissipative system ., where . is a . real matrix, . is a . symmetric real matrix and . is a differentiable function. For conservative systems, the exponential int

forestry

Exponential Fourier Collocation Methods for First-Order Differential Equations,s chapter presents a novel class of exponential Fourier collocation methods (EFCMs) for solving systems of first-order ordinary differential equations. We discuss in detail the connections of EFCMs with trigonometric Fourier collocation methods (TFCMs), the well-known Hamiltonian Boundary Value Meth

態(tài)學(xué)

,Symplectic Exponential Runge–Kutta Methods for Solving Nonlinear Hamiltonian Systems, of this chapter is to present symplectic exponential Runge–Kutta methods. Using the fundamental analysis of geometric integrators, we first derive and analyse the symplectic conditions for ERK methods. These conditions reduce to the conventional ones when .. Furthermore, revised stiff order conditi

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The Construction of Arbitrary Order ERKN Integrators via Group Theory, than traditional Runge–Kutta–Nystr?m (RKN) methods in dealing with oscillatory Hamiltonian systems. However, the theoretical analysis for ERKN methods, such as the order conditions, the symplecticity conditions and the symmetric conditions, becomes much more complicated than that for RKN methods. T

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Trigonometric Collocation Methods for Multi-frequency and Multidimensional Oscillatory Systems,l oscillatory systems .. The properties of the collocation methods are investigated in detail. It is shown that the convergence condition of these methods is independent of ., which is crucial for solving multi-frequency oscillatory systems.

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