Results 21 to 30 of about 33,202 (148)
A De Giorgi Iteration-based Approach for the Establishment of ISS Properties for Burgers' Equation with Boundary and In-domain Disturbances [PDF]
, 2018 This note addresses input-to-state stability (ISS) properties with respect to (w.r.t.) boundary and in-domain disturbances for Burgers' equation. The developed approach is a combination of the method of De~Giorgi iteration and the technique of Lyapunov ...
Zheng, Jun, Zhu, Guchuan
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On numerical simulation of liquid polymer moulding
Mathematical Modelling and Analysis, 2003 In this paper we consider numerical algorithms for solving the system of nonlinear PDEs, arising in modeling of liquid polymer injection. We investigate the particular case when a porous preform is located within the mould, so that the liquid polymer is ...
R. Čiegis, O. Iliev
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Moving-boundary problems solved by adaptive radial basis functions [PDF]
, 2010 The objective of this paper is to present an alternative approach to the conventional level set methods for solving two-dimensional moving-boundary problems known as the passive transport. Moving boundaries are associated with time-dependent problems and
Atluri +42 more
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, 2020 We propose a high-order FDTD scheme based on the correction function method (CFM) to treat interfaces with complex geometry without increasing the complexity of the numerical approach for constant coefficients.
Law, Yann-Meing +2 more
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PDEs with Compressed Solutions [PDF]
, 2014 Sparsity plays a central role in recent developments in signal processing, linear algebra, statistics, optimization, and other fields. In these developments, sparsity is promoted through the addition of an $L^1$ norm (or related quantity) as a constraint
Caflisch, Russel E. +3 more
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Linear Hamilton Jacobi Bellman Equations in High Dimensions [PDF]
, 2014 The Hamilton Jacobi Bellman Equation (HJB) provides the globally optimal solution to large classes of control problems. Unfortunately, this generality comes at a price, the calculation of such solutions is typically intractible for systems with more than
Burdick, Joel W. +2 more
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Symmetric boundary knot method
, 2002 The boundary knot method (BKM) is a recent boundary-type radial basis function (RBF) collocation scheme for general PDEs. Like the method of fundamental solution (MFS), the RBF is employed to approximate the inhomogeneous terms via the dual reciprocity ...
Chen, W.
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Engineering Applications of Computational Fluid MechanicsThe exploration of deep learning methodologies has recently generated significant interest in the use of Physics-Informed Neural Networks (PINNs) to address complex physical problems governed by partial differential equations (PDEs).
Xin Qi +4 more
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Computing Solution Operators of Boundary-value Problems for Some Linear Hyperbolic Systems of PDEs
, 2017 We discuss possibilities of application of Numerical Analysis methods to proving computability, in the sense of the TTE approach, of solution operators of boundary-value problems for systems of PDEs.
Selivanov, Victor, Selivanova, Svetlana
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The use of the mesh free methods (radial basis functions) in the modeling of radionuclide migration and moving boundary value problems [PDF]
, 2007 Recently, the mesh free methods (radial basis functions-RBFs) have emerged as a novel computing method in the scientific and engineering computing community.
Runovc, Franc +2 more
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