Zobrazeno 1 - 10
of 12
pro vyhledávání: '"Michael Medvinsky"'
Publikováno v:
Journal of Computational Physics. 376:98-128
Local artificial boundary conditions (ABCs) for the numerical simulation of waves have been successfully used for decades (most notably, the boundary conditions due to Engquist & Majda, Bayliss, Gunzburger & Turkel, and Higdon). The basic idea behind
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d5526c7a200518eeaddfebf5f5b7b52c
https://doi.org/10.1016/j.jcp.2018.09.040
https://doi.org/10.1016/j.jcp.2018.09.040
Publikováno v:
Wave Motion. 107:102822
We propose an algorithm based on the Method of Difference Potentials (MDP) for the numerical solution of multiple scattering problems in three space dimensions. The propagation of waves is assumed time-harmonic and governed by the Helmholtz equation.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b68c3e48e774d81efca10673a798dc42
https://doi.org/10.1016/j.wavemoti.2021.102822
https://doi.org/10.1016/j.wavemoti.2021.102822
Publikováno v:
Applied Numerical Mathematics. 111:64-91
Numerical approximations and computational modeling of problems from Biology and Materials Science often deal with partial differential equations with varying coefficients and domains with irregular geometry. The challenge here is to design an effici
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b76759f5ec4b5e2c57c2b1a5e4780d0c
https://doi.org/10.1016/j.apnum.2016.08.017
https://doi.org/10.1016/j.apnum.2016.08.017
Publikováno v:
Wave Motion. 62:75-97
The method of difference potentials was originally proposed by Ryaben’kii, and is a generalized discrete version of the method of Calderon’s operators. It handles non-conforming curvilinear boundaries, variable coefficients, and non-standard boun
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::df1568e219dd518d56eca54d10326699
https://doi.org/10.1016/j.wavemoti.2015.12.004
https://doi.org/10.1016/j.wavemoti.2015.12.004
Autor:
Michael Medvinsky
If music educators use technology to do old things in new ways, they are still doing old things. Music is constantly evolving with technological advancements. Technology can be used in many different ways in music classes. Technology best serves musi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7ed3e5f7e95a16ec7b65e64122fafb33
https://doi.org/10.1093/oxfordhb/9780199372133.013.57
https://doi.org/10.1093/oxfordhb/9780199372133.013.57
Autor:
Michael Medvinsky
Music technology is pervasive in today’s music classrooms, but in many settings it is the teacher who designs the integration, often with standardized learning outcomes in mind. As learners and teachers navigate these new experiences, teachers must
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::754d7466c641cd9dbaf1e763a0b911fd
https://doi.org/10.1093/oxfordhb/9780199372133.013.44
https://doi.org/10.1093/oxfordhb/9780199372133.013.44
Publikováno v:
Journal of Computational Physics. 243:305-322
The method of difference potentials generalizes the method of Calderon’s operators from PDEs to arbitrary difference equations and systems. It offers several key advantages, such as the capability of handling boundaries/interfaces that are not alig
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e3e98a327630f0df63a345c453768ddf
https://doi.org/10.1016/j.jcp.2013.03.014
https://doi.org/10.1016/j.jcp.2013.03.014
Publikováno v:
Journal of Scientific Computing. 53:150-193
The method of difference potentials was originally proposed by Ryaben'kii and can be interpreted as a generalized discrete version of the method of Calderon's operators in the theory of partial differential equations. It has a number of important adv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::21d99877bf3f546c3c5a2fe599bb60bc
https://doi.org/10.1007/s10915-012-9602-y
https://doi.org/10.1007/s10915-012-9602-y
Autor:
Eli Turkel, Michael Medvinsky
Publikováno v:
Journal of Computational and Applied Mathematics. 234(6):1647-1655
We compare several On Surface Radiation Boundary Conditions in two dimensions, for solving the Helmholtz equation exterior to an ellipse. We also introduce a new boundary condition for an ellipse based on a modal expansion in Mathieu functions. We co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::66bf6b79e18029d3f3682fa42e0bb977
Publikováno v:
Journal of Computational Physics. 227:8254-8267
We compare several local absorbing boundary conditions for solving the Helmholtz equation, by a finite difference or finite element method, exterior to a general scatterer. These boundary conditions are imposed on an artificial elliptical or prolate
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::40657b227cf4a0959b91b77c11305657
https://doi.org/10.1016/j.jcp.2008.05.010
https://doi.org/10.1016/j.jcp.2008.05.010