Step-by-step solving schemes based on scalar auxiliary variable and invariant energy quadratization approaches for gradient flows
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Publication:2066189
DOI10.1007/s11075-021-01106-9zbMath1481.65195arXiv2001.00812OpenAlexW3156492492MaRDI QIDQ2066189
Publication date: 13 January 2022
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2001.00812
numerical simulationsgradient flowsinvariant energy quadratizationscalar auxiliary variablestep-by-step solving scheme
Nonlinear parabolic equations (35K55) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Initial-boundary value problems for higher-order parabolic equations (35K35) Initial-boundary value problems for second-order parabolic equations (35K20) 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) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Applications to the sciences (65Z05) Higher-order parabolic systems (35K41)
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