Showing 1–20 of 34 results
/ Date/ Name
Jul 18, 2018Energy-Stable Boundary Conditions Based on a Quadratic Form: Applications to Outflow/Open-Boundary Problems in Incompressible FlowsMar 22, 2023Error Analysis of Physics-Informed Neural Networks for Approximating Dynamic PDEs of Second Order in TimeJan 24, 2022Numerical Approximation of Partial Differential Equations by a Variable Projection Method with Artificial Neural NetworksFeb 16, 2025Learning the Exact Time Integration Algorithm for Initial Value Problems by Randomized Neural NetworksDec 4, 2020Local Extreme Learning Machines and Domain Decomposition for Solving Linear and Nonlinear Partial Differential EquationsMar 30, 2019A Roadmap for Discretely Energy-Stable Schemes for Dissipative Systems Based on a Generalized Auxiliary Variable with Guaranteed PositivityOct 9, 2022A Method for Computing Inverse Parametric PDE Problems with Random-Weight Neural NetworksMay 15, 2023Phase Field Modeling and Numerical Algorithm for Two-Phase Dielectric Fluid FlowsMar 11, 2024A Functionally Connected Element Method for Solving Boundary Value ProblemsOct 27, 2021On Computing the Hyperparameter of Extreme Learning Machines: Algorithm and Application to Computational PDEs, and Comparison with Classical and High-Order Finite ElementsMar 14, 2021A Modified Batch Intrinsic Plasticity Method for Pre-training the Random Coefficients of Extreme Learning MachinesSep 23, 2014A pressure correction scheme for generalized form of energy-stable open boundary conditions for incompressible flowsSep 13, 2023An Extreme Learning Machine-Based Method for Computational PDEs in Higher DimensionsApr 24, 2022Numerical Computation of Partial Differential Equations by Hidden-Layer Concatenated Extreme Learning MachineJun 11, 2022Local Randomized Neural Networks with Discontinuous Galerkin Methods for Partial Differential EquationsJul 15, 2020A Method for Representing Periodic Functions and Enforcing Exactly Periodic Boundary Conditions with Deep Neural NetworksJun 3, 2015A Convective-like Energy-Stable Open Boundary Condition for Simulations of Incompressible FlowsMar 16, 2018A Family of Second-Order Energy-Stable Schemes for Cahn-Hilliard Type EquationsJun 14, 2020gPAV-Based Unconditionally Energy-Stable Schemes for the Cahn-Hilliard Equation: Stability and Error AnalysisAug 15, 2014Physical Formulation and Numerical Algorithm for Simulating N Immiscible Incompressible Fluids Involving General Order Parameters