Superconvergence analysis of symmetric Gauss-type exponential collocation integrators for solving the multidimensional nonlinear first-order partial differential equations

The main objective of this research is to develop and analyze high-order symmetric Gauss-type exponential collocation time-stepping methods for solving systems of nonlinear first-order partial differential equations (PDEs). Initially, the nonlinear PDEs are reformulated as an abstract Hamiltonian or...

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Bibliographic Details
Published in:	Journal of mathematical chemistry Vol. 63; no. 10; pp. 2023 - 2050
Main Authors:	Wu, Xiumei, Fang, Yonglei, Liu, Changying, Song, Yuanling
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 01.11.2025 Springer Nature B.V
Subjects:	Accuracy Boundary conditions Chemistry Chemistry and Materials Science Collocation Collocation methods Eigenvectors Function space Hamiltonian functions Hilbert space Integrators Math. Applications in Chemistry Nonlinear differential equations Nonlinear systems Ordinary differential equations Original Paper Parabolic differential equations Partial differential equations Physical Chemistry Symmetry Theoretical and Computational Chemistry 65L05 65L06 34C14 Nonlinear first-order PDEs 65L70 Variation-of-constants formula Exponential integrator 65L20 Superconvergence Abstract ordinary differential equation Symmetry
ISSN:	0259-9791, 1572-8897
Online Access:	Get full text
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