Nathan Collier

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All published works

Action	Title	Year	Authors
+	Evaluation of CMIP models with IOMB: Rates of contemporary ocean carbon uptake linked with vertical temperature gradients and transport to the ocean interior	2022	Weiwei Fu J. Keith Moore François Primeau Nathan Collier O. O. Ogunro Forrest M. Hoffman James T. Randerson
+	Detecting Outliers in Streaming Time Series Data from ARM Distributed Sensors	2018	Yuping Lu Jitendra Kumar Nathan Collier Bhargavi Krishna Michael A. Langston
+	An energy-stable time-integrator for phase-field models	2016	Philippe Vignal Nathan Collier Lisandro Dalcín Donald L. Brown Victor M. Calo
+	PetIGA-MF: A multi-field high-performance toolbox for structure-preserving B-splines spaces	2016	Adel F. Sarmiento Adriano Côrtes Daniel García Lisandro Dalcín Nathan Collier Victor M. Calo
+ PDF Chat	PetIGA: A framework for high-performance isogeometric analysis	2016	Lisandro Dalcín Nathan Collier Philippe Vignal Adriano Côrtes Victor M. Calo
+ PDF Chat	On the computational efficiency of isogeometric methods for smooth elliptic problems using direct solvers	2014	Nathan Collier Lisandro Dalcín Victor M. Calo
+ PDF Chat	A continuation multilevel Monte Carlo algorithm	2014	Nathan Collier Abdul-Lateef Haji-Ali Fabio Nobile Erik von Schwerin Raúl Tempone
+ PDF Chat	On the shape optimization of flapping wings and their performance analysis	2013	Mehdi Ghommem Nathan Collier Antti H. Niemi Victor M. Calo
+	PetIGA: A Framework for High-Performance Isogeometric Analysis	2013	Lisandro Dalcín Nathan Collier Philippe Vignal Adriano Côrtes Victor M. Calo
+ PDF Chat	The Cost of Continuity: Performance of Iterative Solvers on Isogeometric Finite Elements	2013	Nathan Collier Lisandro Dalcín David Pardo Victor M. Calo
+	On the Shape Optimization of Flapping Wings and their Performance Analysis	2012	Mehdi Ghommem Nathan Collier Antti H. Niemi Victor M. Calo
+	Gradient-based estimation of Manning’s friction coefficient from noisy data	2012	Victor M. Calo Nathan Collier Matthias Gehre Bangti Jin Hany Radwan Mauricio Santillana
+	Computational complexity and memory usage for multi-frontal direct solvers in structured mesh finite elements	2012	Nathan Collier David Pardo Maciej Paszyński Victor M. Calo
+	Gradient-based estimation of Manning's friction coefficient from noisy data	2012	Victor M. Calo Nathan Collier Matthias Gehre Bangti Jin Hany Radwan
+	Convergence rates for diffusive shallow water equations (DSW) using higher order polynomials	2012	Hany Radwan Philippe Vignal Nathan Collier Lisandro Dalcín Mauricio Santillana Victor M. Calo
+	The cost of continuity: performance of iterative solvers on isogeometric finite elements	2012	Nathan Collier Lisandro Dalcín David Pardo Victor M. Calo
+	On Round-off Error for Adaptive Finite Element Methods	2012	J. Álvarez-Aramberri David Pardo Maciej Paszyński Nathan Collier Lisandro Dalcín Victor M. Calo
+	On the Shape Optimization of Flapping Wings and their Performance Analysis	2012	Mehdi Ghommem Nathan Collier Antti H. Niemi Victor M. Calo
+	Gradient-based estimation of Manning's friction coefficient from noisy data	2012	Victor M. Calo Nathan Collier Matthias Gehre Bangti Jin Hany Radwan
+	Computational complexity and memory usage for multi-frontal direct solvers in structured mesh finite elements	2012	Nathan Collier David Pardo Maciej Paszyński Victor M. Calo
+ PDF Chat	The cost of continuity: A study of the performance of isogeometric finite elements using direct solvers	2011	Nathan Collier David Pardo Lisandro Dalcín Maciej Paszyński Victor M. Calo
+ PDF Chat	Time adaptivity in the diffusive wave approximation to the shallow water equations	2011	Nathan Collier Hany Radwan Lisandro Dalcín Victor M. Calo

Common Coauthors

Coauthor	Papers Together
Victor M. Calo	19
Lisandro Dalcín	11
David Pardo	6
Hany Radwan	5
Philippe Vignal	4
Maciej Paszyński	4
Bangti Jin	3
Mehdi Ghommem	3
Adriano Cortês	3
Antti H. Niemi	3
Matthias Gehre	2
Mauricio Santillana	2
O. O. Ogunro	1
Adel F. Sarmiento	1
Matthias Gehre	1
Bhargavi Krishna	1
Donald L. Brown	1
François Primeau	1
Raúl Tempone	1
Weiwei Fu	1
Michael A. Langston	1
Abdul-Lateef Haji-Ali	1
J. Álvarez-Aramberri	1
Yuping Lu	1
J. Keith Moore	1
Jitendra Kumar	1
Daniel García	1
Erik von Schwerin	1
Fabio Nobile	1
F. M. Hoffman	1
James T. Randerson	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	The cost of continuity: A study of the performance of isogeometric finite elements using direct solvers	2011	Nathan Collier David Pardo Lisandro Dalcín Maciej Paszyński Victor M. Calo	5
+	A generalized-α method for integrating the filtered Navier–Stokes equations with a stabilized finite element method	2000	Kenneth E. Jansen Christian H. Whiting Gregory M. Hulbert	5
+ PDF Chat	PetIGA: A framework for high-performance isogeometric analysis	2016	Lisandro Dalcín Nathan Collier Philippe Vignal Adriano Côrtes Victor M. Calo	4
+	The Multifrontal Solution of Unsymmetric Sets of Linear Equations	1984	Iain Duff John Reid	4
+ PDF Chat	ISOGEOMETRIC COLLOCATION METHODS	2010	Ferdinando Auricchio L. Beirão da Veiga Thomas J.R. Hughes Alessandro Reali Giancarlo Sangalli	3
+	On the diffusive wave approximation of the shallow water equations	2008	Ricardo J. Alonso Mauricio Santillana Clint Dawson	3
+ PDF Chat	The Cost of Continuity: Performance of Iterative Solvers on Isogeometric Finite Elements	2013	Nathan Collier Lisandro Dalcín David Pardo Victor M. Calo	3
+ PDF Chat	An energy-stable convex splitting for the phase-field crystal equation	2015	Philippe Vignal Lisandro Dalcín Donald L. Brown Nathaniel O. Collier Victor M. Calo	3
+	A numerical approach to study the properties of solutions of the diffusive wave approximation of the shallow water equations	2009	Mauricio Santillana Clint Dawson	3
+	Isogeometric analysis of structural vibrations	2006	J. Austin Cottrell Alessandro Reali Yuri Bazilevs Thomas J.R. Hughes	3
+ PDF Chat	Energy exchange analysis in droplet dynamics via the Navier–Stokes–Cahn–Hilliard model	2016	Luis Espath Adel F. Sarmiento Philippe Vignal B. O. N. Varga Adriano Côrtes Lisandro Dalcín Victor M. Calo	3
+	Iteration number for the conjugate gradient method	2003	Owe Axelsson	2
+ PDF Chat	A Class of Globally Convergent Optimization Methods Based on Conservative Convex Separable Approximations	2002	Krister Svanberg	2
+	A Regularization Parameter for Nonsmooth Tikhonov Regularization	2011	Kazufumi Ito Bangti Jin Tomoya Takeuchi	2
+	Fast Multipole Preconditioners for Sparse Matrices Arising from Elliptic Equations	2013	Huda Ibeid Rio Yokota Jennifer Pestana David E. Keyes	2
+ PDF Chat	Three-dimensional isogeometric solutions to general boundary value problems of Toupin’s gradient elasticity theory at finite strains	2014	Shiva Rudraraju Anton Van der Ven Krishna Garikipati	2
+	PetIGA: A Framework for High-Performance Isogeometric Analysis	2013	Lisandro Dalcín Nathan Collier Philippe Vignal Adriano Côrtes Victor M. Calo	2
+	Iterative parameter choice by discrepancy principle	2012	Bangti Jin Yi Zhao Jun Zou	2
+	How Fast are Nonsymmetric Matrix Iterations?	1992	Noël M. Nachtigal S C Reddy Lloyd N. Trefethen	2
+	A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method	1993	Jaeung Chung Gregory M. Hulbert	2
+	n-Widths, sup–infs, and optimality ratios for the k-version of the isogeometric finite element method	2009	John A. Evans Yuri Bazilevs Ivo Babuška Thomas J.R. Hughes	2
+	Low-Speed Aerodynamics	2001	Joseph Katz Allen Plotkin	2
+ PDF Chat	On the computational efficiency of isogeometric methods for smooth elliptic problems using direct solvers	2014	Nathan Collier Lisandro Dalcín Victor M. Calo	2
+ PDF Chat	What Color Is Your Jacobian? Graph Coloring for Computing Derivatives	2005	Assefaw H. Gebremedhin Fredrik Manne Alex Pothen	1
+	Selected numerical algorithms	2004	Jack Dongarra Kaj Madsen Jerzy Waśniewski	1
+	Integration of hp-adaptivity with a two grid solver: applications to electromagnetics	2004	David Pardo	1
+	Explicit Gaussian quadrature rules for cubic splines with non-uniform knot sequences	2014	Rachid Ait-Haddou Michael Bartoň Victor M. Calo	1
+ PDF Chat	Solving ordinary differential equations I. nonstiff problems	1987	Ernst Hairer Syvert P. Nørsett Gerhard Wanner	1
+	Monte Carlo Complexity of Parametric Integration	1999	Stefan Heinrich Eugène Sindambiwe	1
+ PDF Chat	Multi-level Monte Carlo Finite Element method for elliptic PDEs with stochastic coefficients	2011	Andrea Barth Christoph Schwab Nathaniel Zollinger	1
+	A 3D incompressible Navier–Stokes velocity–vorticity weak form finite element algorithm	2001	Kwai Wong A. J. Baker	1
+	Capillary networks in tumor angiogenesis: From discrete endothelial cells to phase‐field averaged descriptions via isogeometric analysis	2013	Guillermo Vilanova Ignasi Colominas Héctor Gómez	1
+	High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method	1982	Urmila Ghia K. N. Ghia C. T. Shin	1
+	The Liouville–Bratu–Gelfand Problem for Radial Operators	2002	Jon Jacobsen Klaus Schmitt	1
+ PDF Chat	Gaussian quadrature for splines via homotopy continuation: Rules for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si57.gif" display="inline" overflow="scroll"><mml:msup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math> cubic splines	2015	Michael Bartoň Victor M. Calo	1
+	Singular Spectrum Analysis for Time Series	2020	Nina Golyandina Anatoly Zhigljavsky	1
+ PDF Chat	Stabilized second‐order convex splitting schemes for Cahn–Hilliard models with application to diffuse‐interface tumor‐growth models	2013	Xu Wu G. J. van Zwieten Kristoffer G. van der Zee	1
+ PDF Chat	Time adaptivity in the diffusive wave approximation to the shallow water equations	2011	Nathan Collier Hany Radwan Lisandro Dalcín Victor M. Calo	1
+	Relationship between Singular Spectrum Analysis and Fourier analysis: Theory and application to the monitoring of volcanic activity	2010	Enrico Bozzo Roberto Carniel Dario Fasino	1
+	Variational Modelling: Energies, gradient flows, and large deviations	2014	Mark A. Peletier	1
+	NITSOL: A Newton Iterative Solver for Nonlinear Systems	1998	Michael Pernice Homer F. Walker	1
+ PDF Chat	Efficient Nonlinear Solvers for Nodal High-Order Finite Elements in 3D	2010	Jed Brown	1
+ PDF Chat	Embedded diagonally implicit Runge-Kutta algorithms on parallel computers	1992	P. J. van der Houwen B.P. Sommeijer W. Couzy	1
+ PDF Chat	The Three Sigma Rule	1994	Friedrich Pukelsheim	1
+ PDF Chat	Stable and efficient finite-difference nonlinear-multigrid schemes for the phase field crystal equation	2009	Zhaozheng Hu Steven M. Wise C. Wang John Lowengrub	1
+ PDF Chat	Further analysis of multilevel Monte Carlo methods for elliptic PDEs with random coefficients	2013	Aretha L. Teckentrup Robert Scheichl Michael B. Giles Elisabeth Ullmann	1
+	Optimal Conditioning of Matrices	1973	Charles A. McCarthy Gilbert Strang	1
+	Numerical analysis of the Cahn-Hilliard equation with a logarithmic free energy	1992	M.I.M. Copetti Charles M. Elliott	1
+	Approximation of Degenerate Parabolic Problems Using Numerical Integration	1988	Ricardo H. Nochetto C. Verdi	1
+	A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem	2000	Jean‐David Benamou Yann Brenier	1