Browsing Computational and Applied Mathematics by Title
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Generalizations of the Alternating Direction Method of Multipliers for LargeScale and Distributed Optimization
(201506)The alternating direction method of multipliers (ADMM) has been revived in recent years due to its effectiveness at solving many largescale and distributed optimization problems, particularly arising from the areas of ... 
Generalized Conjugate Directions
(198512)This paper presents a simple unifying framework for a wide class of conjugate directions algorithms whose iterates minimize some quadratic functional over a subspace. Our approach is motivated by its advantages for nonlinear ... 
Generalized Newton Methods for Crack Problems with NonPenetration Condition
(200311)A class of semismooth Newton methods for unilaterally constrained variational problems modelling cracks under a nonpenetration condition are introduced and investigated. On the continuous level, a penalization technique ... 
Generalized Pattern Searches with Derivative Information
(200206)A common question asked by users of direct search algorithms is how to use derivative information at iterates where it is available. This paper addresses that question with respect to Generalized Pattern Search (GPS) ... 
Genetic Suppression of Transgenic APP Rescues Hypersynchronous Network Activity in a Mouse Model of Alzeimer's Disease
(2014)Alzheimer's disease (AD) is associated with an elevated risk for seizures that may be fundamentally connected to cognitive dysfunction. Supporting this link, many mouse models for AD exhibit abnormal electroencephalogram ... 
Geometrical Optics for QuasiP Waves: Theories and Numerical Methods
(200004)The quasiP wave in anisotropic solids is of practical importance in obtaining maximal imaging resolution in seismic exploration. The geometrical optics term in the asymptotic expansion for the wave characterizes the high ... 
Getting It Right Without Knowing the Answer: Quality Control in a Large Seismic Modeling Project
(200904)Phase I of the SEAM Project will produce a variabledensity acoustic synthetic survey over a 3D geological model simulating a deepwater subsalt exploration target. Due to the intended use of the data, the project places a ... 
GPUAccelerated Discontinuous Galerkin Methods on Hybrid Meshes: Applications in Seismic Imaging
(201705)Seismic imaging is a geophysical technique assisting in the understanding of subsurface structure on a regional and global scale. With the development of computer technology, computationally intensive seismic algorithms ... 
Graceful Graphs and Graceful Labelings: Two Mathematical Programming Formulations and Some Other New Results
(200301)Given a graph G consisting of vertices and edges, a vertex labeling of G is an assignment f of labels to the vertices of Gthat produces for each edge xy a label depending on the vertex labels f(x) and f(y). A vertex ... 
Gradient Calculation of the Traveltime Cost Function Without RayTracing
(199404)The inverse problem of tomography is an iterative procedure. It requires the computation of the gradient of the traveltime misfit cost function many times. This calculation is customarily done by ray tracing, the path ... 
Gradient Methods for Convex Minimization: Better Rates Under Weaker Conditions
(201303)The convergence behavior of gradient methods for minimizing convex differentiable functions is one of the core questions in convex optimization. This paper shows that their wellknown complexities can be achieved under ... 
Gramians of Structured Systems and an Error Bound for StructurePreserving Model Reduction
(200409)In this paper a general framework is posed for defining the reachability and controllability gramians of structured linear dynamical systems. The novelty is that a formula for the gramian is given in the frequency domain. ... 
Graph Coloring, Zero Forcing, and Related Problems
(201705)This thesis investigates several problems related to classical and dynamic coloring of graphs, and enumeration of graph attributes. In the first part of the thesis, I present new efficient methods to compute the chromatic ... 
Gravitational Forces in DualPorosity Models of Single Phase Flow
(199103)A dual porosity model is derived by the normal theory of homogenization. The model properly incorporates gravity in that it respects the equilibrium states of the medium. 
Gravitational Forces in DualPorosity Systems I. Model Derivation by Homogenization
(199203)We consider the problem of modeling flow through naturally fractured porous media. In this type of media, various physical phenomena occur on disparate length scales, so it is difficult to properly average their effects. ... 
Gravitational Forces in DualPorosity Systems II: Computational Validation of the Homogonized Model
(199203)Three models are considered for single component, single phase flow in naturally fractured porous media. The microscopic model holds on the Darcy scale, and it is considered to govern the system. The macroscopic, dualporosity ... 
Group Sparse Optimization by Alternating Direction Method
(201104)This paper proposes efficient algorithms for group sparse optimization with mixed L21regularization, which arises from the reconstruction of group sparse signals in compressive sensing, and the group Lasso problem in ... 
Hermite Methods for the Simulation of Wave Propagation
(201705)Simulations of wave propagation play a crucial role in science and engineering. In applications of geophysics, they are the engine of many seismic imaging algorithms. For electrical engineers, they can be a useful tool for ... 
High Performance HighOrder Numerical Methods: Applications in Ocean Modeling
(201506)This thesis presents highorder numerical methods for timedependent simulations of oceanic wave propagation on modern manycore hardware architecture. Simulation of the waves such as tsunami, is challenging because of the ...