Michael Medvinsky

https://orcid.org/0000-0001-8929-2625

Application to the simulation of the biological cell electropermeabilization model, Difference potentials, Helmholtz equation, High-order accuracy, Curvilinear boundaries, Interface problems, Infinite domain problems, OSRC, Artificial boundary conditions, Boundary Projections, Non-confirming boundaries, Non-confirming interfaces, Curvilinear boundaries, Variable coefficients, piecewise-constant coefficients, Non-matching grids, parallel algorithms

Works (21)

Updated: March 1st, 2024 20:03

2021 journal article

Solution of three-dimensional multiple scattering problems by the method of difference potentials

WAVE MOTION, 107.

By: M. Medvinsky nโ€‰, S. Tsynkov nโ€‰ & E. Turkelโ€‰*

co-author countries: Israel ๐Ÿ‡ฎ๐Ÿ‡ฑ United States of America ๐Ÿ‡บ๐Ÿ‡ธ
author keywords: Time-harmonic waves; Unbounded domain; Helmholtz equation; Finite differences; High-order accuracy; Scattering objects; Cartesian grid; Non-conforming boundary; Artificial outer boundary; BGT radiation condition
Sources: ORCID, Web Of Science
Added: August 31, 2021

2019 journal article

Direct implementation of high order BGT artificial boundary conditions

Journal of Computational Physics, 376, 98โ€“128.

By: M. Medvinsky nโ€‰, S. Tsynkov nโ€‰ & E. Turkelโ€‰*

co-author countries: Israel ๐Ÿ‡ฎ๐Ÿ‡ฑ United States of America ๐Ÿ‡บ๐Ÿ‡ธ
author keywords: Propagation of waves over unbounded regions; Helmholtz equation; Spherical artificial boundary; Expansion with respect to continuous basis; Method of difference potentials (MDP); Beltrami operator
Sources: Web Of Science, ORCID, Crossref
Added: December 10, 2018

2017 journal article

High-order numerical schemes based on difference potentials for 2D elliptic problems with material interfaces

APPLIED NUMERICAL MATHEMATICS, 111, 64โ€“91.

By: J. Albright*, Y. Epshteynโ€‰*, M. Medvinsky nโ€‰ & Q. Xiaโ€‰*

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
author keywords: Boundary value problems; Piecewise-constant coefficients; High-order accuracy; Difference potentials; Boundary projections; Interface problems; Non-matching grids; Mixed-order; Parallel algorithms; Application to the simulation of the biological cell electropermeabilization model
Sources: Web Of Science, ORCID
Added: August 6, 2018

2016 journal article

Solving the Helmholtz equation for general smooth geometry using simple grids

Wave Motion, 62, 75โ€“97.

By: M. Medvinsky*โ€‰, S. Tsynkov nโ€‰ & E. Turkelโ€‰*

co-author countries: Israel ๐Ÿ‡ฎ๐Ÿ‡ฑ Russian Federation ๐Ÿ‡ท๐Ÿ‡บ United States of America ๐Ÿ‡บ๐Ÿ‡ธ
author keywords: Difference potentials; Boundary projections; Calderon's operators; Curvilinear boundaries; High order compact differencing; Multiple scattering
Sources: Crossref, ORCID, Web Of Science
Added: August 6, 2018

2015 chapter

On the Solution of the Elliptic Interface Problems by Difference Potentials Method

In Lecture Notes in Computational Science and Engineering (pp. 197โ€“205).

By: Y. Epshteynโ€‰* & M. Medvinsky*โ€‰

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
Source: Crossref
Added: July 28, 2019

2013 conference paper

High Order Numerical Simulation of the Transmission and Scattering of Waves Using the Method of Difference Potentials

Proceedings of the International Conference "Difference Schemes and Applications" in honor of the 90-th Birthday of Prof. V. S. Ryaben'kii, 33โ€“34. Moscow. Russia: Keldysh Institute of Applied Mathematics.

By: S. Britt, M. Medvinskyโ€‰, S. Tsynkov & E. Turkel

Source: NC State University Libraries
Added: December 9, 2019

2013 journal article

High order numerical simulation of the transmission and scattering of waves using the method of difference potentials

Journal of Computational Physics, 243, 305โ€“322.

By: M. Medvinsky nโ€‰, S. Tsynkov nโ€‰ & E. Turkelโ€‰*

co-author countries: Israel ๐Ÿ‡ฎ๐Ÿ‡ฑ Russian Federation ๐Ÿ‡ท๐Ÿ‡บ United States of America ๐Ÿ‡บ๐Ÿ‡ธ
author keywords: Difference potentials; Boundary projections; Calderon's operators; Regular grids; Curvilinear boundaries; Non-conforming boundaries/interfaces; Variable coefficients; Compact differencing; High order accuracy; Exterior problems; Artificial boundary conditions
Sources: Crossref, ORCID, Web Of Science
Added: August 6, 2018

2013 thesis

High order numerical simulation of waves using regular grids and non-conforming interfaces

(Ph.D Dissertation). Tel Aviv University.

By: M. Medvinskyโ€‰

Source: NC State University Libraries
Added: July 10, 2019

2013 thesis

High order numerical simulation of waves using regular grids and non-conforming interfaces

http://www.dtic.mil/cgi-bin/GetTRDoc?Location=U2&doc=GetTRDoc.pdf&AD=ADA617619

Michael Medvinsky

Source: ORCID
Added: December 6, 2019

2013 article

Providing easy access to radio networks

(2013, June 19). http://appft.uspto.gov/netacgi/nph-Parser?Sect1=PTO2&Sect2=HITOFF&p=1&u=%2Fnetahtml%2FPTO%2Fsearch-bool.html&r=1&f=G&l=50&co1=AND&d=PG01&s1=%22Providing+easy+access+radio+networks%22.TTL.&OS=TTL/%22Providing+easy+access+to+radio+networks%22&RS=TTL/%22Providing+easy+access+to+radio+networks%22

Michael Medvinsky

Source: ORCID
Added: December 6, 2019

2012 journal article

Erratum to: The Method of Difference Potentials for the Helmholtz Equation Using Compact High Order Schemes

Journal of Scientific Computing, 53(2), 482โ€“482.

By: M. Medvinsky nโ€‰, S. Tsynkov nโ€‰ & E. Turkelโ€‰*

co-author countries: Israel ๐Ÿ‡ฎ๐Ÿ‡ฑ United States of America ๐Ÿ‡บ๐Ÿ‡ธ
Sources: Crossref, ORCID
Added: September 8, 2020

2012 journal article

The Method of Difference Potentials for the Helmholtz Equation Using Compact High Order Schemes

Journal of Scientific Computing, 53(1), 150โ€“193.

By: M. Medvinsky nโ€‰, S. Tsynkov nโ€‰ & E. Turkelโ€‰*

co-author countries: Israel ๐Ÿ‡ฎ๐Ÿ‡ฑ United States of America ๐Ÿ‡บ๐Ÿ‡ธ
author keywords: Difference potentials; Boundary projections; Calderon's operators; Regular grids; Curvilinear boundaries; Variable coefficients; Compact differencing; High order accuracy
Sources: Crossref, ORCID, Web Of Science
Added: August 6, 2018

2010 journal article

On surface radiation conditions for an ellipse

Journal of Computational and Applied Mathematics, 234(6), 1647โ€“1655.

By: M. Medvinsky*โ€‰ & E. Turkelโ€‰*

co-author countries: Israel ๐Ÿ‡ฎ๐Ÿ‡ฑ
author keywords: Helmholtz equation; OSRC; Mathieu functions
Source: Crossref
Added: July 28, 2019

2010 journal article

On surface radiation conditions for an ellipse

http://www.sciencedirect.com/science/article/pii/S0377042709004865

Michael Medvinsky

Source: ORCID
Added: December 6, 2019

2008 patent

Expiditing Seamless Roaming in Heterogenous Networking

https://patentscope.wipo.int/search/en/detail.jsf?docId=WO2008073438

Michael Medvinsky

Source: ORCID
Added: December 6, 2019

2008 journal article

Local absorbing boundary conditions for elliptical shaped boundaries

Journal of Computational Physics, 227(18), 8254โ€“8267.

By: M. Medvinsky*โ€‰, E. Turkelโ€‰* & U. Hetmaniuk*

co-author countries: Israel ๐Ÿ‡ฎ๐Ÿ‡ฑ United States of America ๐Ÿ‡บ๐Ÿ‡ธ
author keywords: Helmholtz equation; absorbing boundary conditions; Mathieu functions
Sources: Crossref, ORCID
Added: July 28, 2019

2008 patent

Masking Changes for Seamless Roaming in Heterogenous Networking

https://patentscope.wipo.int/search/en/detail.jsf?docId=WO2008073492

Michael Medvinsky

Source: ORCID
Added: December 6, 2019

2007 article

Providing easy access to radio networks

(2007, May 3). http://appft.uspto.gov/netacgi/nph-Parser?Sect1=PTO2&Sect2=HITOFF&p=1&u=%2Fnetahtml%2FPTO%2Fsearch-bool.html&r=1&f=G&l=50&co1=AND&d=PG01&s1=%22Providing+easy+access+radio+networks%22.TTL.&OS=TTL/%22Providing+easy+access+to+radio+networks%22&RS=TTL/%22Providing+easy+access+to+radio+networks%22

Michael Medvinsky

Source: ORCID
Added: December 6, 2019

2007 thesis

Comparison of local absorbing radiation conditions for scattering about elliptical body

(Master's thesis). Tel Aviv University.

By: M. Medvinskyโ€‰

Source: NC State University Libraries
Added: July 28, 2019

2007 thesis

Comparison of local absorbing radiation conditions for scattering about elliptical body

http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.728.1981&rep=rep1&type=pdf

Michael Medvinsky

Source: ORCID
Added: December 6, 2019

chapter

On the Solution of the Elliptic Interface Problems by Difference Potentials Method

Michael Medvinsky

Source: ORCID
Added: December 6, 2019

Employment

Updated: September 12th, 2016 20:06

2016 - present

North Carolina State University Raleigh, NC, US
Research Assistant Professor Department of Mathematics

2013 - present

University of Utah Salt Lake City, UT, US
Scott Assistance Professor Lecturer math

Education

Updated: October 15th, 2019 15:52

Tel Aviv University Tel Aviv, IL
PhD math

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