Browsing Computational and Applied Mathematics by Title
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Mapping Mantle Transition Zone Discontinuities Beneath the Central Pacific With Array Processing ofﾠSSﾠPrecursors
(2017)We image mantle transition zone (MTZ) discontinuities beneath the Central Pacific using ~120,000 broadband SS waveforms. With a wave packet‐based array processing technique (curvelet transform), we improve the signal‐to‐noise ... 
Mass Lumping For Constant Density Acoustics
(200904)Mass lumping provides an avenue for efficient timestepping of timedependent problems with conforming finite element discretization. Typical justifications for mass lumping use quadrature error estimates which do not hold ... 
Mass Lumping for ConstantDensity Acoustics
(200904)Conforming Galerkin discretization of the constantdensity acoustic wave equation provides optimal order convergence even in the presence of very rough coefficients, provided that the time dependence of the data (righthand ... 
Mathematical Foundations of Reflected Wave Imaging
(199002)The goal of these notes is to provide a consistent mathematical foundation for wave imaging  the production of images from measurements of reflected waves in heterogeneous media. This account is inspired mostly by reflection ... 
A mathematical framework for inverse wave problems in heterogeneous media
(2013)This paper provides a theoretical foundation for some common formulations of inverse problems in wave propagation, based on hyperbolic systems of linear integrodifferential equations with bounded and measurable coefficients. ... 
Mathematical Modeling of Protein Structure Using Distance Geometry
(200007)This paper reviews methods for structure determination with interatomic distances and explores possible improvement of the methods and ways of combining them with potential energy minimization. 
A MatrixFree TrustRegion SQP Method for Equality Constrained Optimization
(2014)We develop and analyze a trustregion sequential quadratic programming (SQP) method for the solution of smooth equality constrained optimization problems, which allows the inexact and hence iterative solution of linear ... 
Matroid Optimization and Algorithms
(199006)This paper reviews matroid optimization and algorithms including applications of matroid intersection; submodular functions and polymatroids; submodular flows and other general models; matroid connectivity algorithms; ... 
Maximum Stable Set Formulations and Heuristics Based on Continuous Optimization
(200012)The stability number for a given graph G is the size of a maximum stable set in G. The Lovasz theta number provides an upper bound on the stability number and can be computed as the optimal value of the Lovasz semidefinite ... 
Mesh Adaptive Direct Search Algorithms for Constrained Optimization
(200401)This paper introduces the Mesh Adaptive Direct Search (MADS) class of algorithms for nonlinear optimization. MADS extends the Generalized Pattern Search (GPS) class by allowing local exploration, called polling, in a dense ... 
Mesh Independence for Nonlinear Least Squares Problems with Norm Constraints
(199009)If one solves an infinite dimensional optimization problem by introducing discretizations and applying a solution method to the resulting finite dimensional problem, one often observes a very stable behavior of this method ... 
Microlocal Analysis of the Scattering Angle Transform
(200107)The goal of seismic imaging is to map single reflection seismic data to an image of a medium parameter, ie. a reconstruction of the singularities in the medium parameter up to a pseudodifferential factor. Given a smooth ... 
Migration Velocity Analysis and Waveform Inversion
(200703)Waveform (output least squares) inversion of seismic reflection data can reconstruct remarkably detailed models of subsurface structure, and take into account essentially any physics of seismic wave propagation that can ... 
The MinimalﾠkCore Problem for Modelingﾠ kAssemblies
(2015)The concept of cell assembly was introduced by Hebb and formalized mathematically by Palm in the framework of graph theory. In the study of associative memory, a cell assembly is a group of neurons that are strongly connected ... 
Minimization of Large Scale Quadratic Function Subject to an Ellipsoidal Constraint
(199407)An important problem in linear algebra and optimization is the Trust Region Problem: Minimize a quadratic function subject to an ellipsoidal constraint. This basic problem has several important large scale applications ... 
Mixed Finite Element Methods as Finite Difference Methods for Solving Elliptic Equations on Triangular Elements
(199311)Several procedures of mixed finite element type for solving elliptic partial differential equations are presented. The efficient implementation of these approaches using the lowestorder RaviartThomas approximating spaces ... 
Mixed Finite Element Methods for Variably Saturated Subsurface Flow
(199604)The flow of water through variably saturated subsurface media is commonly modeled by Richards' equation, a nonlinear and possibly degenerate partial differential equation. Due to the nonlinearities, this equation is difficult ... 
Mixed Finite Elements for Elliptic Problems with Tensor Coefficients as Finite Differences
(199401)We develop the theory of an expanded mixed finite element approximation of second order elliptic problems containing a tensor coefficient. The mixed method is expanded in the sense that three variables are explicitly ...