Showing 1–20 of 42 results
/ Date/ Name
Jul 9, 2020Discovering Phase Field Models from Image Data with the Pseudo-spectral Physics Informed Neural NetworksNov 25, 2021A Remark on the Invariant Energy Quadratization (IEQ) Method for Preserving the Original Energy Dissipation LawsApr 14, 2021Improving the Accuracy and Consistency of the Scalar Auxiliary Variable (SAV) Method with RelaxationMar 3, 2021Second-order Decoupled Energy-stable Schemes for Cahn-Hilliard-Navier-Stokes equationsJul 5, 2019Analyticity of the spectrum and Dirichlet-to-Neumann operator technique for quantum graphsJul 9, 2019Arbitrarily High-order Unconditionally Energy Stable Schemes for Gradient Flow Models Using the Scalar Auxiliary Variable ApproachJul 11, 2019Arbitrarily High-order Unconditionally Energy Stable Schemes for Thermodynamically Consistent Gradient Flow ModelsDec 4, 2023General Numerical Framework to Derive Structure Preserving Reduced Order Models for Thermodynamically Consistent Reversible-Irreversible PDEsMar 28, 2023Cohomology and deformations of crossed homomorphisms between Lie-Yamaguti algebrasOct 9, 2023Maurer-Cartan characterization, $L_\infty$-algebras, and cohomology of relative Rota-Baxter operators on Lie-Yamaguti algebrasJun 15, 2024Twisting of Lie triple systems, $L_\infty$-algebras, and (generalized) matched pairsJan 25, 2017Numerical Approximations for a three components Cahn-Hilliard phase-field Model based on the Invariant Energy Quadratization methodMar 6, 2018An Accurate and Efficient Algorithm for The Time-fractional Molecular Beam Epitaxy Model with Slope SelectionSep 24, 2020Discovery of Governing Equations with Recursive Deep Neural NetworksApr 13, 2023Post Lie-Yamaguti algebras, relative Rota-Baxter operators of nonzero weights, and their deformationsMar 3, 2021A General Framework to Derive Linear, Decoupled and Energy-stable Schemes for Reversible-Irreversible Thermodynamically Consistent Models: Part I Incompressible Hydrodynamic ModelsJan 9, 2017Linear, Second order and Unconditionally Energy stable schemes for The Viscous Cahn-Hilliard Equation with hyperbolic relaxation using the invariant energy quadratization methodOct 11, 2009On the coefficients of the cyclotomic polynomials of order threeOct 15, 2009A proof of the Corrected Beiter conjectureJul 9, 2020Solving Allen-Cahn and Cahn-Hilliard Equations using the Adaptive Physics Informed Neural Networks