Search Results - "Salupere, Andrus"
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SOLVING NONLINEAR PDES USING THE HIGHER ORDER HAAR WAVELET METHOD ON NONUNIFORM AND ADAPTIVE GRIDS
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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APPLICATION OF HIGHER ORDER HAAR WAVELET METHOD FOR SOLVING NONLINEAR EVOLUTION EQUATIONS
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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Solving Nonlinear Boundary Value Problems Using the Higher Order Haar Wavelet Method
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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Simulation of solitary wave propagation in carbon fibre reinforced polymer
Published in Proceedings of the Estonian Academy of Sciences (01-01-2015)“…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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Deformation waves in microstructured solids and dimensionless parameters
Published in Proceedings of the Estonian Academy of Sciences (01-01-2013)Get full text
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On hidden solitons in KdV related systems
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
Published in The Journal of the Acoustical Society of America (01-10-2021)“…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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On the propagation of solitary waves in Mindlin-type microstructured solids
Published in Proceedings of the Estonian Academy of Sciences (01-01-2010)“…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
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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On modelling wave motion in microstructured solids
Published in Proceedings of the Estonian Academy of Sciences (01-01-2009)“…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
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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On solitonic solutions for the hyperelastic rod equation
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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On the propagation of 1D solitary waves in Mindlin-type microstructured solids
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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Waves in microstructured solids and the Boussinesq paradigm
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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Propagation of sech2-type solitary waves in hierarchical KdV-type systems
Published in Mathematics and computers in simulation (01-07-2009)Get full text
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Foreword
Published in Proceedings of the Estonian Academy of Sciences (01-09-2015)Get full text
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Foreword
Published in Proceedings of the Estonian Academy of Sciences (01-09-2015)Get full text
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Foreword
Published in Proceedings of the Estonian Academy of Sciences (01-07-2015)Get full text
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Foreword
Published in Proceedings of the Estonian Academy of Sciences (01-07-2015)Get full text
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Optimized excitation for nonlinear wave propagation in complex media: From biomedical acoustic imaging to nondestructive testing of cultural heritage
Published in The Journal of the Acoustical Society of America (01-09-2015)“…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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