Search Results - "Salupere, Andrus"

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  1. 1

    SOLVING NONLINEAR PDES USING THE HIGHER ORDER HAAR WAVELET METHOD ON NONUNIFORM AND ADAPTIVE GRIDS by Ratas, Mart, Salupere, Andrus, Majak, Jüri

    Published in Mathematical modelling and analysis (01-01-2021)
    “…The higher order Haar wavelet method (HOHWM) is used with a nonuniform grid to solve nonlinear partial differential equations numerically. The Burgers’…”
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    Journal Article
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    APPLICATION OF HIGHER ORDER HAAR WAVELET METHOD FOR SOLVING NONLINEAR EVOLUTION EQUATIONS by Ratas, Mart, Salupere, Andrus

    Published in Mathematical modelling and analysis (01-03-2020)
    “…The recently introduced higher order Haar wavelet method is treated for solving evolution equations. The wave equation, the Burgers’ equations and the…”
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  3. 3

    Solving Nonlinear Boundary Value Problems Using the Higher Order Haar Wavelet Method by Ratas, Mart, Majak, Jüri, Salupere, Andrus

    Published in Mathematics (Basel) (01-11-2021)
    “…The current study is focused on development and adaption of the higher order Haar wavelet method for solving nonlinear ordinary differential equations. The…”
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  4. 4

    Simulation of solitary wave propagation in carbon fibre reinforced polymer by Lints, Martin, Salupere, Andrus, Dos Santos, Serge

    “…The emergence and propagation of solitary waves is investigated for carbon fibre reinforced polymer using numerical simulations for Non-Destructive Testing…”
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    On hidden solitons in KdV related systems by Salupere, Andrus

    Published in Mathematics and computers in simulation (01-09-2016)
    “…It is well known that a train of solitons can emerge from the harmonic initial wave in case of the Korteweg–de Vries (KdV) or KdV related evolution equations…”
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    Ultrasonic time reversal on defects in carbon fibre reinforced polymer using chirp-coded ultrasound in complex media by Lints, Martin, Salupere, Andrus, Dos Santos, Serge

    “…Various nonlinear methods have been investigated in recent years offering improvements of over conventional B-mode in medical imaging and non-destructive…”
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  8. 8

    On the propagation of solitary waves in Mindlin-type microstructured solids by Tamm, K, Salupere, A

    “…The Mindlin-Engelbrecht-Pastrone model is applied to simulating ID wave propagation in microstructured solids. The model takes into account the nonlinearity in…”
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    On the application of 2D discrete spectral analysis in case of the KP equation by Salupere, Andrus, Ratas, Mart

    Published in Mechanics research communications (01-10-2018)
    “…In case of 1D wave propagation the discrete spectral analysis is very helpful method in order to analyze the space–time behavior of different wave…”
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  10. 10

    On modelling wave motion in microstructured solids by Randrüüt, M, Salupere, A, Engelbrecht, J

    “…The Mindlin-type model is used for describing the longitudinal deformation waves in microstructured solids. The evolution equation (one-wave equation) is…”
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    Chirp-coded ultrasound for localization of linear and nonlinear scatterers in isotropic media by Lints, Martin, Salupere, Andrus, Dos Santos, Serge

    Published in E-journal of Nondestructive Testing (01-06-2024)
    “…Chirp-coded ultrasound has been under active research for reciprocal Time Reversal with Nonlinear Elastic Wave Spectroscopy for ultrasonic wave focusing and…”
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  12. 12

    On solitonic solutions for the hyperelastic rod equation by Salupere, Andrus, Rätsep, Margus

    Published in Wave motion (01-11-2019)
    “…Formation of solitary wave trains is studied within the scope of the hyperelastic rod equation. The model equation is integrated numerically for the harmonic…”
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  13. 13

    On the propagation of 1D solitary waves in Mindlin-type microstructured solids by Tamm, Kert, Salupere, Andrus

    Published in Mathematics and computers in simulation (01-03-2012)
    “…The Mindlin model and hierarchical approach by Engelbrecht and Pastrone are used for modelling 1D wave propagation in microstructured solids. After introducing…”
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  14. 14

    Waves in microstructured solids and the Boussinesq paradigm by Engelbrecht, Jüri, Salupere, Andrus, Tamm, Kert

    Published in Wave motion (01-12-2011)
    “…The emergence of soliton trains and interaction of solitons are analyzed by using a Boussinesq-type equation which describes the propagation of bi-directional…”
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    Optimized excitation for nonlinear wave propagation in complex media: From biomedical acoustic imaging to nondestructive testing of cultural heritage by Dos Santos, Serge, Lints, Martin, Poirot, Nathalie, Salupere, Andrus

    “…The interaction between an acoustic wave and a complex media has an increase interest for both nondestructive testing (NDT) applications and for biomedical…”
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