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What Color Is Your Jacobian? Graph Coloring for Computing Derivatives

Authors : Fredrik Manne; Alex Pothen; Assefaw H. Gebremedhin

Subjects: Applied Mathematics; Graph partition; Theoretical Computer Science

Source: SIAM Review. 47:629-705

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Introduction to Automatic Differentiation and MATLAB Object-Oriented Programming

Authors : Richard D. Neidinger

Subjects: Series (mathematics); Automatic differentiation; Applied Mathematics

Source: SIAM Review. 52:545-563

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From Functional Analysis to Iterative Methods

Authors : Robert C. Kirby

Subjects: Hilbert manifold; Riesz representation theorem; Applied Mathematics

Source: SIAM Review. 52:269-293

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Numerical Methods for Electronic Structure Calculations of Materials

Authors : Suzanne M. Shontz; James R. Chelikowsky; Yousef Saad

Subjects: business.industry; Applied Mathematics; Numerical analysis

Source: SIAM Review. 52:3-54

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Boltzmann's Dilemma: An Introduction to Statistical Mechanics via the Kac Ring

Authors : Marcel Oliver; Georg A. Gottwald

Subjects: Computer simulation; Entropy (statistical thermodynamics); Applied Mathematics

Source: SIAM Review. 51:613-635

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Conjugate Points Revisited and Neumann–Neumann Problems

Authors : Robert S. Manning

Subjects: Hessian matrix; Applied Mathematics; Harmonic conjugate

Source: SIAM Review. 51:193-212

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Cloaking Devices, Electromagnetic Wormholes, and Transformation Optics

Authors : Gunther Uhlmann; Matti Lassas; Allan Greenleaf

Subjects: Physics; Invisibility; Wave propagation

Source: SIAM Review. 51:3-33

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Logically Rectangular Grids and Finite Volume Methods for PDEs in Circular and Spherical Domains

Authors : Christiane Helzel; Donna Calhoun; Randall J. LeVeque

Subjects: Finite volume method; Partial differential equation; Quadrilateral

Source: SIAM Review. 50:723-752

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Is Gauss Quadrature Better than Clenshaw–Curtis?

Authors : Lloyd N. Trefethen

Subjects: Quadrature domains; Applied Mathematics; Mathematical analysis

Source: SIAM Review. 50:67-87

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On Spiking Models for Synaptic Activity and Impulsive Differential Equations

Authors : Anna L. Lin; Eric Monson; Anne J. Catllá

Subjects: Asymptotic analysis; Forcing (recursion theory); Differential equation

Source: SIAM Review. 50:553-569

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A Method to Compute Statistics of Large, Noise-Induced Perturbations of Nonlinear Schrödinger Solitons

Authors : William L. Kath; Gino Biondini; Richard O. Moore

Subjects: Computer simulation; Quantum Monte Carlo; Applied Mathematics

Source: SIAM Review. 50:523-549

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Leonhard Euler: His Life, the Man, and His Works

Authors : Walter Gautschi

Subjects: Applied Mathematics; media_common.quotation_subject; Art history

Source: 6th International Congress on Industrial and Applied Mathematics Zürich, Switzerland, 16-20 July 2007

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Searching for Rare Growth Factors Using Multicanonical Monte Carlo Methods

Authors : Kara L. Maki; Tobin A. Driscoll

Subjects: Numerical linear algebra; Applied Mathematics; Monte Carlo method

Source: SIAM Review. 49:673-692

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Uniform Asymptotics Applied to Ultrawideband Pulse Propagation

Authors : Kurt E. Oughstun; Natalie A. Cartwright

Subjects: Asymptotic analysis; Field (physics); Heaviside step function

Source: SIAM Review. 49:628-648

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Stability Criteria for Switched and Hybrid Systems

Authors : Oliver Mason; Kai Wulff; Robert Shorten

Subjects: Lyapunov function; Mathematical problem; Applied Mathematics

Source: SIAM Review. 49:545-592

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Adaptive Polynomial Interpolation on Evenly Spaced Meshes

Authors : Martin Berzins

Subjects: Discrete mathematics; Polynomial; Applied Mathematics

Source: SIAM Review. 49:604-627

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Difference of Sums Containing Products of Binomial Coefficients and Their Logarithms

Authors : Allen R. Miller; Ira S. Moskowitz

Subjects: Combinatorics; Computational Mathematics; symbols.namesake

Source: SIAM Review. 48:318-325

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Globalization Techniques for Newton–Krylov Methods and Applications to the Fully Coupled Solution of the Navier–Stokes Equations

Authors : John N. Shadid; Homer F. Walker; Joseph P. Simonis

Subjects: Mathematical optimization; Line search; Iterative method

Source: SIAM Review. 48:700-721

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Spatiospectral Concentration on a Sphere

Authors : Frederik J. Simons; F. A. Dahlen; Mark A. Wieczorek ...

Subjects: Unit sphere; Bandlimiting; 010504 meteorology & atmospheric sciences

Source: SIAM ReviewSIAM Review, Society for Industrial and Applied Mathematics, 2006, 48 (3), pp.504-536.

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A Simply Stabilized Running Model

Authors : Daniel E. Koditschek; Richard Altendorfer; Raffaele M. Ghigliazza

Subjects: Stance phase; Applied Mathematics; Mathematical analysis

Source: SIAM Review. 47:519-549

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Canonical Forms for Hermitian Matrix Pairs under Strict Equivalence and Congruence

Authors : Peter Lancaster; Leiba Rodman

Subjects: Discrete mathematics; Pure mathematics; Applied Mathematics

Source: SIAM Review. 47:407-443

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In the Garden of Branching Processes

Authors : Karin S. Dorman; Janet S. Sinsheimer; Kenneth Lange

Subjects: Kronecker product; Applied Mathematics; Markov process

Source: SIAM Review. 46:202-229

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The Theory of Implementation of Social Choice Rules

Authors : Roberto Serrano

Subjects: Computer science; media_common.quotation_subject; jel:D82

Source: SIAM Review. 46:377-414

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Accelerating the Nonuniform Fast Fourier Transform

Authors : Leslie Greengard; June-Yub Lee

Subjects: Applied Mathematics; Fast Fourier transform; Discrete Fourier transform

Source: SIAM Review. 46:443-454

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Bicycle Routing for Maximum Suntan

Authors : Geert Jan Olsder

Subjects: Applied Mathematics; Mathematical analysis; Optimal control

Source: SIAM Review. 45:345-358

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Eigenstructure of the Equilateral Triangle, Part I: The Dirichlet Problem

Authors : Brian J. McCartin

Subjects: Dirichlet problem; Applied Mathematics; Mathematical analysis

Source: SIAM Review. 45:267-287

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Classroom Note:Numerical and Analytical Solutions of Volterra's Population Model

Authors : Kevin G. TeBeest

Subjects: Mathematical and theoretical biology; Singular perturbation; Differential equation

Source: SIAM Review. 39:484-493

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Multiple Comparison Methods for Means

Authors : John A. Rafter; Martha L. Abell; James P. Braselton

Subjects: Structure (mathematical logic); education.field_of_study; Class (computer programming)

Source: SIAM Review. 44:259-278

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Regularity versus Degeneracy in Dynamics, Games, and Optimization: A Unified Approach to Different Aspects

Authors : Immanuel M. Bomze

Subjects: Computer Science::Computer Science and Game Theory; Mathematical optimization; Applied Mathematics

Source: SIAM Review. 44:394-414

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Nonuniform Sampling and Reconstruction in Shift-Invariant Spaces

Authors : Akram Aldroubi; Karlheinz Gröchenig

Subjects: Approximation theory; Applied Mathematics; Mathematical analysis

Source: SIAM Review. 43:585-620

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A Fast Newton Algorithm for Entropy Maximization in Phase Determination

Authors : George N. Phillips; Zhijun Wu; Richard A. Tapia

Subjects: Applied Mathematics; Fast Fourier transform; Maximization

Source: SIAM Review. 43:623-642

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Synchronization of Elliptic Bursters

Authors : Eugene M. Izhikevich

Subjects: Hopf bifurcation; Strongly connected component; Quantitative Biology::Neurons and Cognition

Source: SIAM Review. 43:315-344

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An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations

Authors : Desmond J. Higham

Subjects: Continuous-time stochastic process; Stochastic modelling; Applied Mathematics

Source: SIAM Review. 43:525-546

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Planetary Motion and the Duality of Force Laws

Authors : Krešimir Josić; Rachel W. Hall

Subjects: Geometric function theory; Applied Mathematics; Mathematical analysis

Source: SIAM Review. 42:115-124

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A Jacobi--Davidson Iteration Method for Linear Eigenvalue Problems

Authors : Gerard L. G. Sleijpen; Henk A. Van der

Subjects: Matrix differential equation; Iterative method; Applied Mathematics

Source: SIAM Review. 42:267-293

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Extension of the Herglotz Algorithm to Nonautonomous Canonical Transformations

Authors : W. Black; R. T. Hudspeth; R. B. Guenther

Subjects: Applied Mathematics; Generating function; Canonical transformation

Source: SIAM Review. 42:83-90

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An Efficient Method for a Class of Continuous Nonlinear Knapsack Problems

Authors : Gad Rabinowitz; Aaron Melman

Subjects: Mathematical optimization; Applied Mathematics; Continuous knapsack problem

Source: SIAM Review. 42:440-448

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Numerical Study of Flows of Two Immiscible Liquids at Low Reynolds Number

Authors : Yuriko Renardy; Jie Li

Subjects: Applied Mathematics; Drop (liquid); Reynolds number

Source: SIAM Review. 42:417-439

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Orthogonal Sampling Formulas: A Unified Approach

Authors : Antonio G. Garcia

Subjects: Sequence; Applied Mathematics; Hilbert space

Source: Scopus-Elsevier

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Impossibility of Fast Stable Approximation of Analytic Functions from Equispaced Samples

Authors : Rodrigo B. Platte; Arno B. J. Kuijlaars; Lloyd N. Trefethen

Subjects: Applied Mathematics; Bernstein inequalities; Instability

Source: SIAM Review. 53(2)

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Green's Functions for Multiply Connected Domains via Conformal Mapping

Authors : Lloyd N. Trefethen; Mark Embree

Subjects: Applied Mathematics; Computation; Numerical analysis

Source: SIAM Review. 41:745-761

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The Discrete Cosine Transform

Authors : Gilbert Strang

Subjects: Discrete mathematics; Applied Mathematics; Fast Fourier transform

Source: SIAM Review. 41:135-147

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Derivation of Numerical Methods Using Computer Algebra

Authors : Dominik Gruntz; Walter Gander

Subjects: Computer program; Applied Mathematics; Numerical analysis

Source: SIAM Review. 41:577-593

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On the Theory of Complex Rays

Authors : Stephen J Chapman; J. M. H. Lawry; R. H. Tew

Subjects: Physics; Partial differential equation; Helmholtz equation

Source: Scopus-Elsevier

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Lithotripsy: The Treatment of Kidney Stones with Shock Waves

Authors : Pei Zhong; Laurens E. Howle; David G. Schaeffer

Subjects: Shock wave; Mathematical model; Computer science

Source: SIAM Review. 40:356-371

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Optimization Problems with Perturbations: A Guided Tour

Authors : J. Frédéric Bonnans; Alexander Shapiro

Subjects: Semidefinite programming; 0209 industrial biotechnology; Mathematical optimization

Source: SIAM Review. 40:228-264

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Fractal Basins of Attraction Associated with a Damped Newton's Method

Authors : Henry S. Greenside; Bogdan I. Epureanu

Subjects: Polynomial; Applied Mathematics; Numerical analysis

Source: SIAM Review. 40:102-109

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Collective Coordinates and Length-Scale Competition in Spatially Inhomogeneous Soliton-Bearing Equations

Authors : A. R. Bishop; Angel Sánchez

Subjects: Partial differential equation; Integrable system; Applied Mathematics

Source: SIAM Review. 40:579-615

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Jordan Normal Form via Elementary Transformations

Authors : Regino Criado; C. Vega; Andrés Bujosa

Subjects: Constant coefficients; Pure mathematics; Jordan matrix

Source: SIAM Review. 40:947-956

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Fast Approximate Fourier Transforms for Irregularly Spaced Data

Authors : Antony Ware

Subjects: Hermite polynomials; Applied Mathematics; Mathematical analysis

Source: SIAM Review. 40:838-856

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