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ACM Transactions on Graphics
This paper introduces a novel wavelet-based framework for simulating both single-phase (e.g., smoke) and two-phase (e.g., bubbly water) flows, featuring unified boundary condition handling for free surfaces and solid obstacles. In liquid simulations, conventional pressure projection methods enforce zero-pressure Dirichlet conditions at free surfaces by
Luan Lyu +5 more
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This paper introduces a novel wavelet-based framework for simulating both single-phase (e.g., smoke) and two-phase (e.g., bubbly water) flows, featuring unified boundary condition handling for free surfaces and solid obstacles. In liquid simulations, conventional pressure projection methods enforce zero-pressure Dirichlet conditions at free surfaces by
Luan Lyu +5 more
openaire +1 more source
NON-MSF A-WAVELETS FROM A-WAVELET SETS
International Journal of Wavelets, Multiresolution and Information Processing, 2013Generalizing the result of Bownik and Speegle [Approximation Theory X: Wavelets, Splines and Applications, Vanderbilt University Press, pp. 63–85, 2002], we provide plenty of non-MSF A-wavelets with the help of a given A-wavelet set. Further, by showing that the dimension function of the non-MSF A-wavelet constructed through an A-wavelet set W ...
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2005
The complete description of wavelet bases is given such that each of them is generated by the fixed function whose Fourier image is the characteristic function of some set. In particular, for the case of Sobolev spaces wavelet bases with the following property of universal optimality are constructed: subspaces generated by these functions are extremal ...
Nikolay Strelkov, Vladimir Dol'nikov
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The complete description of wavelet bases is given such that each of them is generated by the fixed function whose Fourier image is the characteristic function of some set. In particular, for the case of Sobolev spaces wavelet bases with the following property of universal optimality are constructed: subspaces generated by these functions are extremal ...
Nikolay Strelkov, Vladimir Dol'nikov
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Vieta–Fibonacci wavelets: Application in solving fractional pantograph equations
Mathematical Methods in the Applied Sciences, 2022M H Heydari, Fakhrodin Mohammadi
exaly
Wavelets and Continuous Wavelet Transform [PDF]
, 2016 The concepts of wavelet theory were provided by Meyer, Mallat, Daubechies and many others.Wavelets are well localized, oscillatory functions which provide a basis of and can be modified to a basis of , where is a bounded domain. Wavelet transform or wavelet analysis is a recently developed mathematical tool for signal analysis.
openaire
Comparison on wavelets techniques for solving fractional optimal control problems
JVC/Journal of Vibration and Control, 2018S Saha Ray
exaly
Wavelets collocation methods for the numerical solution of elliptic BV problems
Applied Mathematical Modelling, 2013Imran Aziz, , Božidar Šarler
exaly