General splitting methods for abstract semilinear evolution equations

DOI10.4310/CMS.2015.V13.N1.A4zbMath1311.65106arXiv1211.5111OpenAlexW2328375331MaRDI QIDQ2257624

Juan Pablo Borgna, Mariano De Leo, Constanza Sánchez Fernández de la Vega, D. F. Rial

Publication date: 25 February 2015

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.5111

zbMATH Keywords

convergencenonlinear Schrödinger equationGross-Pitaevskii equationSchrödinger-Poisson equationsplitting integratorsabstract semilinear evolution equationsLie-Trotter

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) PDEs in connection with optics and electromagnetic theory (35Q60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Semilinear parabolic equations (35K58)

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Multiple splitting for parabolic equations in almost periodic spaces ⋮ A Note on the Well-Posedness of Control Complex Ginzburg-Landau Equations in Zhidkov Spaces ⋮ Global existence for vector valued fractional reaction-diffusion equations ⋮ Polynomial complex Ginzburg-Landau equations in Zhidkov spaces

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