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Wave modelling of 3 + 1 dimensional Wazwaz Kaur Boussinesq equation with the bilinear neural network method. [PDF]
Sci RepShahen NHM +4 more
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Lateral load capacity of flexible piles in the SDMC model with cylindrical cavity expansion theory. [PDF]
Sci RepGao F, Hu C, Huang B, Pang L.
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Solving Hyperbolic PDEs in MATLAB
Applied Numerical Analysis & Computational Mathematics, 2005Summary: Software is developed in Matlab to solve initial-boundary value problems for first order systems of hyperbolic partial differential equations (PDEs) in one space variable \(x\) and time \(t\) .
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Solving Hyperbolic PDEs Using Interpolating Wavelets
SIAM Journal on Scientific Computing, 1999The wavelet representation of a function comprises a finite linear combination of scaling functions and wavelets. The representation may be compressed by deleting wavelet coefficients less than some threshold \(\epsilon\), to leave \(N_s\) significant coefficients, with \(N_s\) generally much smaller than \(N\), the original number of coefficients ...
Mats Holmstrom
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Adaptive Wavelet Methods for Hyperbolic PDEs
Journal of Scientific Computing, 1998The authors present a methodology for solving partial differential equations in a wavelet basis with computations done to a prescribed accuracy. A tree structure is used to represent the signal and a multidimensional analogue of the fast wavelet transform. The advection equation and the Burgers equation are solved on a periodic domain.
Holmström, Mats, Waldén, Johan
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2018
The chapter is devoted to the development of the small-gain methodology for coupled 1-D, hyperbolic, first-order PDEs under the presence of external inputs. Our aim is the derivation of sufficient conditions that guarantee ISS for a given system of coupled hyperbolic PDEs. Globally, Lipschitz nonlinear, non-local terms are allowed to be present both in
Iasson Karafyllis, Miroslav Krstic
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The chapter is devoted to the development of the small-gain methodology for coupled 1-D, hyperbolic, first-order PDEs under the presence of external inputs. Our aim is the derivation of sufficient conditions that guarantee ISS for a given system of coupled hyperbolic PDEs. Globally, Lipschitz nonlinear, non-local terms are allowed to be present both in
Iasson Karafyllis, Miroslav Krstic
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Backstepping for Coupled Hyperbolic PDEs
2022Coupled hyperbolic PDE systems are introduced. Full-state feedback and observer design by PDE backstepping are presented for general hyperbolic systems and then specialized to 2 × 2 systems. © 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.
Yu, Huan, Krstic, Miroslav
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Parabolic–Hyperbolic PDE Loops
2018The last chapter of the book is devoted to the study of parabolic–hyperbolic PDE loops by means of the small-gain methodology. Since there are many possible interconnections that can be considered, we focus on two particular cases, which are analyzed in detail.
Iasson Karafyllis, Miroslav Krstic
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Filter Bank Methods for Hyperbolic PDEs
SIAM Journal on Numerical Analysis, 1999Biorthogonal filter banks are used to solve partial differential equations (PDEs) adaptively with a sparse multilevel representation of the solution. Finite difference type methods are applied. The filter banks are used to give a sparse representation of signals and to transform between grids on different scales.
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Some splitting methods for hyperbolic PDEs
Applied Numerical Mathematics, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hosseini, Rasool, Tatari, Mehdi
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