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Filtering by: Contributor Volkov, Darko Remove constraint Contributor: Volkov, Darko Publisher Worcester Polytechnic Institute Remove constraint Publisher: Worcester Polytechnic Institute

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Analysis and Homogenization of Partial Differential Equations with Discontinuous Boundary Conditions

Keyword:

Reaction-diffusion-advection equations, Partial differential equations, Duality, Homogenization, Stokes equations, and Moving domains

Creator:

Sato, Riuji

Advisor:

Vernescu, Bogdan M.

Publisher:

Worcester Polytechnic Institute

Date Created:

2023-04-26

Resource Type:

Dissertation

Degree:

PhD

Unit (Department):

Mathematical Sciences
On the Decay Rate of Singular Values of Integral Operators

Creator:

Levine, Matthew

Advisor:

Volkov, Darko

Publisher:

Worcester Polytechnic Institute

Date Created:

2023-05-03

Resource Type:

Thesis

Degree:

MS

Unit (Department):

Mathematical Sciences
High-order numerical methods for integral fractional Laplacian: algorithm and analysis

Keyword:

stability, regularity, convergence, fractional laplacian, spectral method, and finite difference method

Creator:

Hao, Zhaopeng

Advisor:

Zhang, Zhongqiang

Publisher:

Worcester Polytechnic Institute

Date Created:

2020-04-30

Resource Type:

Dissertation

Degree:

PhD

Unit (Department):

Mathematical Sciences
Convergence of a Numerical Method for Reconstructing Faults from Boundary Measurements

Keyword:

reconstruction method

Creator:

Jiang, Yulong

Advisor:

Volkov, Darko

Publisher:

Worcester Polytechnic Institute

Date Created:

2020-05-17

Resource Type:

Thesis

Degree:

MS

Unit (Department):

Mathematical Sciences
Quasi-static Fracture Evolution with Cohesive Energy

Keyword:

Quasi-static Evolution, SBV functions, Fracture Mechanics, and Cohesive Energy

Creator:

Li, Yiqing

Advisor:

Larsen, Christopher J.

Publisher:

Worcester Polytechnic Institute

Date Created:

2016-07-19

Resource Type:

Dissertation

Degree:

PhD

Unit (Department):

Mathematical Sciences
A multifrequency method for the solution of the acoustic inverse scattering problem

Keyword:

Inverse problems and Numerical Methods

Creator:

Borges, Carlos

Advisor:

Sarkis-Martins, Marcus

Publisher:

Worcester Polytechnic Institute

Date Created:

2013-01-08

Resource Type:

Dissertation

Degree:

PhD

Unit (Department):

Mathematical Sciences
Preferred Frequencies for Coupling of Seismic Waves and Vibrating Tall Buildings

Keyword:

Helmholtz Equation, City-effect, and Periodic Green's function

Creator:

Zheltukhin, Sergey

Advisor:

Volkov, Darko

Publisher:

Worcester Polytechnic Institute

Date Created:

2013-08-27

Resource Type:

Dissertation

Degree:

PhD

Unit (Department):

Mathematical Sciences
Finite Energy Functional Spaces on Unbounded Domains with a Cut

Keyword:

finite energy functional spaces and unbounded domains with a cut

Creator:

Owens, Will

Advisor:

Volkov, Darko

Publisher:

Worcester Polytechnic Institute

Date Created:

2009-05-24

Resource Type:

Thesis

Degree:

MS

Unit (Department):

Mathematical Sciences

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PhD Dissertations5
Masters Theses3

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Creator

Borges, Carlos1
Hao, Zhaopeng1
Jiang, Yulong1
Levine, Matthew1
Li, Yiqing1
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Advisor

Larsen, Christopher J.1
Sarkis-Martins, Marcus1
Vernescu, Bogdan M.1
Volkov, Darko4
Zhang, Zhongqiang1

Contributor

Capogna, Luca1
Donato, Patrizia1
Druskin, Vladimir1
Francfort, Gilles A.1
Ganesh, Mahadevan1
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Unit (Department)

Mathematical Sciences8

Publisher

Worcester Polytechnic Institute[remove]8

Resource type

Dissertation5
Thesis3

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