An optimal adaptive tensor product wavelet solver of a space-time FOSLS formulation of parabolic evolution problems
N Rekatsinas, R Stevenson - Advances in Computational Mathematics, 2019 - Springer
In this work, we construct a well-posed first-order system least squares (FOSLS)
simultaneously space-time formulation of parabolic PDEs. Using an adaptive wavelet solver …
simultaneously space-time formulation of parabolic PDEs. Using an adaptive wavelet solver …
A stable numerical scheme based on the hybridized discontinuous Galerkin method for the Ito-type coupled KdV system
The purpose of this paper is to develop a hybridized discontinuous Galerkin (HDG) method
for solving the Ito-type coupled KdV system. In fact, we use the HDG method for discretizing …
for solving the Ito-type coupled KdV system. In fact, we use the HDG method for discretizing …
An optimal adaptive wavelet method for first order system least squares
N Rekatsinas, R Stevenson - Numerische Mathematik, 2018 - Springer
In this paper, it is shown that any well-posed 2nd order PDE can be reformulated as a well-
posed first order least squares system. This system will be solved by an adaptive wavelet …
posed first order least squares system. This system will be solved by an adaptive wavelet …
The bi-Helmholtz equation with Cauchy conditions: ill-posedness and regularization methods
In this paper, the bi-Helmholtz equation with Cauchy conditions is nominated in an-
dimensional strip domain. It is shown that this Cauchy problem may be ill-posed in the sense …
dimensional strip domain. It is shown that this Cauchy problem may be ill-posed in the sense …
اسپلاین بیضوی و کاربرد آن در تولید دادههای شتاب ثقل سطح دریا در خلیج فارس
کیانی شاهوندی, چگینی, نبی الله, صفری… - نشریه علمی-پژوهشی …, 2020 - jgit.kntu.ac.ir
در این مقاله، روش درون یابی برای تولید دادههای شتاب ثقل در سطح دریا در خلیج فارس با استفاده
از ژئوئید حاصل از ارتفاعسنجی ماهوارهای، مدلهای ژئوپتانسیل با قدرت تفکیک بالا و اسپلاین …
از ژئوئید حاصل از ارتفاعسنجی ماهوارهای، مدلهای ژئوپتانسیل با قدرت تفکیک بالا و اسپلاین …
[PDF][PDF] Well-posed space-time variational formulations of evolutionary PDEs with applications
R Stevenson, C Schwab - fsdona.karlin.mff.cuni.cz
Adaptive methods aim at constructing iteratively a seq. of quasi-optimal meshes based on a
posteriori information. Instead of adaptive fem, talk is about adaptive wavelet methods. Now …
posteriori information. Instead of adaptive fem, talk is about adaptive wavelet methods. Now …
[PDF][PDF] Adaptive wavelet methods for space-time variational formulations of evolutionary PDEs
R Stevenson, C Schwab - MAFELAP 2016 - ricam.oeaw.ac.at
Corol 1. awgm realizes optimal rate s (N% u− uΛ− 1/s & lin. conv.), but, in this form, it is not
implementable. Thm 1. awgm with approx. eval. of residual f− BuΛ and approx. solution of …
implementable. Thm 1. awgm with approx. eval. of residual f− BuΛ and approx. solution of …
[PDF][PDF] Adaptive wavelet methods: Quantitative improvements and extensions
R Stevenson, N Chegini - mat.bham.ac.uk
Adaptive wavelet methods: Quantitative improvements and extensions Page 1 Adaptive
wavelet methods: Quantitative improvements and extensions Rob Stevenson Korteweg-de …
wavelet methods: Quantitative improvements and extensions Rob Stevenson Korteweg-de …