渗漏 发表于 2025-3-21 18:13:27
书目名称Geometric Numerical Integration影响因子(影响力)<br> http://figure.impactfactor.cn/if/?ISSN=BK0383579<br><br> <br><br>书目名称Geometric Numerical Integration影响因子(影响力)学科排名<br> http://figure.impactfactor.cn/ifr/?ISSN=BK0383579<br><br> <br><br>书目名称Geometric Numerical Integration网络公开度<br> http://figure.impactfactor.cn/at/?ISSN=BK0383579<br><br> <br><br>书目名称Geometric Numerical Integration网络公开度学科排名<br> http://figure.impactfactor.cn/atr/?ISSN=BK0383579<br><br> <br><br>书目名称Geometric Numerical Integration被引频次<br> http://figure.impactfactor.cn/tc/?ISSN=BK0383579<br><br> <br><br>书目名称Geometric Numerical Integration被引频次学科排名<br> http://figure.impactfactor.cn/tcr/?ISSN=BK0383579<br><br> <br><br>书目名称Geometric Numerical Integration年度引用<br> http://figure.impactfactor.cn/ii/?ISSN=BK0383579<br><br> <br><br>书目名称Geometric Numerical Integration年度引用学科排名<br> http://figure.impactfactor.cn/iir/?ISSN=BK0383579<br><br> <br><br>书目名称Geometric Numerical Integration读者反馈<br> http://figure.impactfactor.cn/5y/?ISSN=BK0383579<br><br> <br><br>书目名称Geometric Numerical Integration读者反馈学科排名<br> http://figure.impactfactor.cn/5yr/?ISSN=BK0383579<br><br> <br><br>路标 发表于 2025-3-22 00:19:40
Numerical Integrators,sses of numerical methods. We start with Runge-Kutta and collocation methods, and we introduce discontinuous collocation methods, which cover essentially all high-order implicit Runge-Kutta methods of interest. We then treat partitioned Runge-Kutta methods and Nyström methods, which can be applied tComprise 发表于 2025-3-22 02:43:02
Order Conditions, Trees and B-Series,ed Runge-Kutta methods, and composition methods by using the notion of rooted trees and B-series. These ideas lead to algebraic structures which have recently found interesting applications in quantum field theory. The chapter terminates with the Baker-CampbellHausdorff formula, which allows anotherfatuity 发表于 2025-3-22 07:26:56
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Symmetric Integration and Reversibility,s. We discuss reversible differential equations and reversible maps, and we explain how symmetric integrators are related to them. We study symmetric Runge-Kutta and composition methods, and we show how standard approaches for solving differential equations on manifolds can be symmetrized. A theoretIntrovert 发表于 2025-3-22 13:03:56
Symplectic Integration of Hamiltonian Systems,ng property of these systems is the symplecticity of the flow. As indicated in the following diagram, . Hamiltonian theory operates in three different domains (equations of motion, partial differential equations and variational principles) which are all interconnected. Each of these viewpoints, whicIntrovert 发表于 2025-3-22 19:52:43
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Structure-Preserving Implementation,not deteriorate the correct qualitative behaviour of the solution. We study multiple time stepping strategies, the effect of round-off in long-time integrations, and the efficient solution of nonlinear systems arising in implicit integration schemes.CAND 发表于 2025-3-23 01:42:05
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Reversible Perturbation Theory and Symmetric Integrators,tic methods applied to (near-)integrable Hamiltonian systems: linear error growth, long-time near-conservation of first integrals, existence of invariant tori. The present chapter gives a theoretical explanation of the good long-time behaviour of symmetric methods. The results and techniques are lar