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Volkov, Darko
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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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Creator
Borges, Carlos
1
Hao, Zhaopeng
1
Jiang, Yulong
1
Levine, Matthew
1
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Larsen, Christopher J.
1
Sarkis-Martins, Marcus
1
Vernescu, Bogdan M.
1
Volkov, Darko
4
Zhang, Zhongqiang
1
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Capogna, Luca
1
Donato, Patrizia
1
Druskin, Vladimir
1
Francfort, Gilles A.
1
Ganesh, Mahadevan
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Unit (Department)
Mathematical Sciences
8
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Worcester Polytechnic Institute
8
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Dissertation
5
Thesis
3