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Found 5 papers, 1 papers with code
Least-Squares Neural Network (LSNN) Method For Scalar Nonlinear Hyperbolic Conservation Laws: Discrete Divergence Operator
A least-squares neural network (LSNN) method was introduced for solving scalar linear and nonlinear hyperbolic conservation laws (HCLs) in [7, 6].
Self-adaptive deep neural network: Numerical approximation to functions and PDEs
Designing an optimal deep neural network for a given task is important and challenging in many machine learning applications.
Least-Squares ReLU Neural Network (LSNN) Method For Linear Advection-Reaction Equation
This paper studies least-squares ReLU neural network method for solving the linear advection-reaction problem with discontinuous solution.
Least-Squares ReLU Neural Network (LSNN) Method For Scalar Nonlinear Hyperbolic Conservation Law
We introduced the least-squares ReLU neural network (LSNN) method for solving the linear advection-reaction problem with discontinuous solution and showed that the method outperforms mesh-based numerical methods in terms of the number of degrees of freedom.
Deep least-squares methods: an unsupervised learning-based numerical method for solving elliptic PDEs
This paper studies an unsupervised deep learning-based numerical approach for solving partial differential equations (PDEs).
