Journal Publications
N.V. Roberts, S.T. Miller, S.D. Bond, E.C. Cyr, An implicit-in-time DPG formulation of the 1D1V Vlasov-Poisson equations, Computers & Mathematics with Applications 154 (2023) 103–119. [DOI: 10.1016/j.camwa.2023.11.014]
B.N. Granzow, D.T. Seidl, S.D. Bond, Linearization errors in discrete goal-oriented error estimation, Computer Methods in Applied Mechanics and Engineering 416 (2023) 116364. [DOI: 10.1016/j.cma.2023.116364]
J.A. Mitchell, S.A. Silling, E. Chiu, S.D. Bond, T. Ruggles, Modeling additively manufactured metallic microstructures for dynamic response, Journal of Peridynamics and Nonlocal Modeling 5 (2023) 497–520. [DOI: 10.1007/s42102-022-00093-2]
S.T. Miller, N.V. Roberts, S.D. Bond, E.C. Cyr, Neural-Network Based Collision Operators for the Boltzmann Equation, Journal of Computational Physics 470 (2022) 111541. [DOI: 10.1016/j.jcp.2022.111541]
S.W. Chung, S.D. Bond, E.C. Cyr and J.B. Freund, Regular sensitivity computation avoiding chaotic effects in particle-in-cell plasma methods, Journal of Computational Physics 400 (2020) 1–32. [DOI: 10.1016/j.jcp.2019.108969]
J.B. Lechman, S.D. Bond, D.S. Bolintineanu, G.S. Grest, C.D. Yarrington and L.E. Silbert, Random walks on jammed networks: Spectral properties, Physical Review E 100 (2019) 1–6. [DOI: 10.1103/PhysRevE.100.012905]
T.B. Costa, S.D. Bond and D.J. Littlewood, Nonlocal and Mixed-Locality Multiscale Finite Element Method, SIAM Multiscale Modeling and Simulation 16 (2018) 503–527. [DOI: 10.1137/16M1090351]
Y. Chen, A. Mazumdar, C.F. Brooks, Bart G. van Bloemen Waanders, S.D. Bond and M.B. Nemer, Remote Distributed Vibration Sensing through Opaque Media using Permanent Magnets, IEEE Transactions on Magnetics 54 (2018) 1–13. [DOI: 10.1109/TMAG.2018.2816578]
Q. Wu, L. Shi, S. Bond and Y. Yu, Surface Texture Synthesis and Mixing Using Differential Colors, International Journal of Advanced Computer Science and Applications 5 (2014) 236–243. [DOI: 10.14569/IJACSA.2014.050433]
S.D. Bond, R.B. Lehoucq and S.T. Rowe, A Galerkin radial basis function method for nonlocal diffusion, In "Meshfree Methods for Partial Differential Equations VII", Lecture Notes in Computational Science and Engineering 100 (2014) 1–21. [DOI: 10.1007/978-3-319-06898-5_1]
A.D. Baczewski and S.D. Bond, Numerical Integration of the Extended Variable Generalized Langevin Equation with a Positive Prony Representable Memory Kernel, Journal of Chemical Physics 139 (2013) 044107 (11 pages). [DOI: 10.1063/1.4815917]
B. Aksoylu, S.D. Bond, E.C. Cyr and M.J. Holst, Goal-Oriented Adaptivity and Multilevel Preconditioning for the Poisson-Boltzmann Equation, Journal of Scientific Computing 52 (2012) 202–225. [DOI: 10.1007/s10915-011-9539-6]
N. Arizumi and S.D. Bond, On the estimation and correction of discretization error in molecular dynamics averages, Applied Numerical Mathematics 62 (2012) 1938–1953. [DOI: 10.1016/j.apnum.2012.08.005]
J.H. Chaudhry, S.D. Bond and L.N. Olson, A Weighted Adaptive Least-Squares Finite Element Method for the Poisson-Boltzmann Equation, Applied Mathematics and Computation 218 (2012) 4892–4902. [DOI: 10.1016/j.amc.2011.10.054]
J.H. Chaudhry, S.D. Bond and L.N. Olson, Finite element approximation to a finite-size modified Poisson-Boltzmann equation, Journal of Scientific Computing 47 (2011) 347–364. [DOI: 10.1007/s10915-010-9441-7]
S.D. Bond, J.H. Chaudhry, E.C. Cyr and L.N. Olson, A First-Order Systems Least-Squares Finite Element Method for the Poisson-Boltzmann Equation, Journal of Computational Chemistry 31 (2010) 1625–1635. [DOI: 10.1002/jcc.21446]
R.J. Lavarello, S.D. Bond and M.L. Oelze, Regularized Tomographic Density Imaging Using Multiple Frequency Information, 2010 IEEE International Ultrasonics Symposium Proceedings (2010) 2336–2339. [DOI: 10.1109/ULTSYM.2010.5935476]
S.D. Bond and B.J. Leimkuhler, Molecular Dynamics and the Accuracy of Numerically Computed Averages, Acta Numerica 16 (2007) 1–65. [DOI: 10.1017/S0962492906280012]
S.D. Bond and B.J. Leimkuhler, Stabilized Integration of Hamiltonian Systems with Hard-Sphere Inequality Constraints, SIAM Journal on Scientific Computing 30 (2007) 134–147. [DOI: 10.1137/06066552X]
Y. Cheng, J.K. Suen, Z. Radić, S.D. Bond, M.J. Holst and J.A. McCammon, Continuum simulations of acetylcholine diffusion with reaction-determined boundaries in neuromuscular junction models, Biophysical Chemistry 127 (2007) 129–139. [DOI: 10.1016/j.bpc.2007.01.003], [PMID: 17307283]
Y. Cheng, J.K. Suen, D. Zhang, S.D. Bond, Y. Zhang, Y. Song, N.A. Baker, C.L. Bajaj, M.J. Holst and J.A. McCammon, Finite Element Analysis of the Time-Dependent Smoluchowski Equation for Acetylcholinesterase Reaction Rate Calculations, Biophysical Journal 92 (2007) 3397–3406. [DOI: 10.1529/biophysj.106.102533], [PMID: 17307827]
E.C. Cyr and S.D. Bond, Using the method of weighted residuals to compute potentials of mean force, Journal of Computational Physics 225 (2007) 714–729. [DOI: 10.1016/j.jcp.2006.12.015]
B. Lu, Y.C. Zhou, G.A. Huber, S.D. Bond, M.J. Holst and J.A. McCammon, Electrodiffusion: A continuum modeling framework for biomolecular systems with realistic spatiotemporal resolution, Journal of Chemical Physics 127 (2007) 135102 (17 pages). [DOI: 10.1063/1.2775933], [PMID: 17919055]
Q. Wu, L. Shi, S. Bond and Y. Yu, Laplacian Texture Synthesis and Mixing on Surfaces, Pacific Graphics (2006).
B. Aksoylu, S. Bond and M. Holst, An Odyssey into Local Refinement and Multilevel Preconditioning III: Implementation and Numerical Experiments, SIAM Journal on Scientific Computing 25 (2003) 478–498. [DOI: 10.1137/S1064827502407676]
S.D. Bond, B.B. Laird and B.J. Leimkuhler, On the approximation of Feynman-Kac path integrals, Journal of Computational Physics 185 (2003) 472–483. [DOI: 10.1016/S0021-9991(02)00066-9]
K. Tai, S.D. Bond, H.R. MacMillan, N.A. Baker, M.J. Holst and J.A. McCammon, Finite Element Simulations of Acetylcholine Diffusion in Neuromuscular Junctions, Biophysical Journal 84 (2003) 2234–2241. [DOI: 10.1016/S0006-3495(03)75029-2], [PMID: 12668432]
S.D. Bond, B.J. Leimkuhler and B.B. Laird, The Nosé-Poincaré Method for Constant Temperature Molecular Dynamics, Journal of Computational Physics 151 (1999) 114–134. [DOI: 10.1006/jcph.1998.6171]
S.D. Bond and B.J. Leimkuhler, Time-Transformations for Reversible Variable Stepsize Integration, Numerical Algorithms 19 (1998) 55–71. [DOI: 10.1023/A:1019127111709]
Technical reports
S.D. Bond, B.C. Franke, R.B. Lehoucq and J.D. Smith, Developing and evaluating Malliavin estimators for intrusive sensitivity analysis of Monte Carlo radiation transport, Sandia National Laboratories Technical Report (2019) 1–8. [DOI: 10.2172/1568989]
M.B. Nemer, Bart G. van Bloemen Waanders, Ellen Yi Chen Mazumdar, O. Guba, A. Mazumdar, S.D. Bond, C.F. Brooks, C.C. Roberts, A.B. Dodd and S.S. Miller, Magnetic Methods for Tracking Particle Motions and Temperatures within Opaque Vessels, Sandia National Laboratories Technical Report (2017) 1–108.
T.B. Costa, S.D. Bond, D.J. Littlewood and S.G. Moore, Peridynamic Multiscale Finite Element Methods, Sandia National Laboratories Technical Report (2015) 1–46. [DOI: 10.2172/1227915]
D.J. Littlewood, S.A. Silling, J.A. Mitchell, P.D. Seleson, S.D. Bond, M.L. Parks, D.Z. Turner, D.J. Burnett, J. Ostien and M. Gunzburger, Strong Local-Nonlocal Coupling for Integrated Fracture Modeling, Sandia National Laboratories Technical Report (2015) 1–100. [DOI: 10.2172/1221526]
B. Aksoylu, M. Holst and S. Bond, Implementation and Theoretical Aspects of the BPX Preconditioner in the Three Dimensional Local Mesh Refinement Setting, Institute for Computational Engineering and Sciences, The University of Texas at Austin, October (2004).
Recent Publications, Presentations, and Reports
Stephen Bond, Brian Franke, Richard Lehoucq, Scott McKinley, (2022). Sensitivity Analyses for Monte Carlo Sampling-Based Particle Simulations https://doi.org/10.2172/1889334 Publication ID: 80229
Nathan Roberts, Stephen Bond, Sean Miller, Eric Cyr, (2022). Fluid-Kinetic Coupling: Advanced Discretizations for Simulations on Emerging Heterogeneous Architectures (LDRD FY20-0643) https://doi.org/10.2172/1891588 Publication ID: 80339
Nathan Roberts, Stephen Bond, Eric Cyr, Sean Miller, (2022). Neural-network based collision operators for the Boltzmann equation Journal of Computational Physics https://doi.org/10.1016/j.jcp.2022.111541 Publication ID: 80110
Thomas Voth, Brian Granzow, Alan Stagg, Stephen Bond, Nathaniel Hamlin, Matthew Martin, Luke Shulenburger, (2021). FLEXO: Development of a Portably Performant AMR Code for XMHD https://doi.org/10.2172/1881674 Publication ID: 79702
Brian Granzow, Stephen Bond, Matthew Martin, Nathaniel Hamlin, Alan Stagg, Thomas Voth, (2021). FLEXO: Development of a Portably Performant AMR Code for XHMD https://doi.org/10.2172/1863704 Publication ID: 78103
George Laity, Allen Robinson, Michael Cuneo, Mary Alam, Kristian Beckwith, Nichelle Bennett, Matthew Bettencourt, Stephen Bond, Kyle Cochrane, Louise Criscenti, Eric Cyr, Karen De Zetter, Richard Drake, Evstati Evstatiev, Andrew Fierro, Thomas Gardiner, Forrest Glines, Ronald Goeke, Nathaniel Hamlin, Russell Hooper, Jason Koski, James Lane, Steven Larson, Kevin Leung, Duncan McGregor, Philip Miller, Sean Miller, Susan Ossareh, Edward Phillips, Sean Simpson, David Sirajuddin, Thomas Smith, Matthew Swan, Aidan Thompson, Julien Tranchida, Asa Bortz-Johnson, Dale Welch, Alex Russell, Eric Watson, David Rose, Ryan McBride, (2021). Towards Predictive Plasma Science and Engineering through Revolutionary Multi-Scale Algorithms and Models (Final Report) https://doi.org/10.2172/1813907 Publication ID: 75144
Thomas Voth, Kristian Beckwith, Stephen Bond, Brian Granzow, Nathaniel Hamlin, Heath Hanshaw, Glen Hansen, Christopher Jennings, Edward Love, Matthew Martin, Luke Shulenburger, Alan Stagg, (2020). FLEXO Development Activities https://www.osti.gov/servlets/purl/1812279 Publication ID: 74355
Stephen Bond, Brian Franke, Richard Lehoucq, John Smith, (2020). Sensitivity analysis for Monte Carlo simulations of integro-partial differential equations https://www.osti.gov/servlets/purl/1765803 Publication ID: 72525
Seung Chung, Stephen Bond, Eric Cyr, Jonathan Freund, (2020). Regular sensitivity computation avoiding chaotic effects in particle-in-cell plasma methods Journal of Computational Physics https://doi.org/10.1016/j.jcp.2019.108969 Publication ID: 64930
Stephen Bond, Brian Franke, Richard Lehoucq, John Smith, (2019). Developing and evaluating Malliavin estimators for intrusive sensitivity analysis of Monte Carlo radiation transport https://doi.org/10.2172/1568989 Publication ID: 65290
Kristian Beckwith, Kristian Beckwith, Stephen Bond, Stephen Bond, Brian Granzow, Brian Granzow, Nathaniel Hamlin, Nathaniel Hamlin, Matthew Martin, Matthew Martin, Michael Powell, Michael Powell, Kevin Ruggirello, Kevin Ruggirello, Alan Stagg, Alan Stagg, Thomas Voth, Thomas Voth, (2019). FLEXO: Development of a Discontinuous Galerkin Multimaterial Magneto-Hydrodynamics Code for MagLIF Simulation https://www.osti.gov/servlets/purl/1641903 Publication ID: 64703
Kristian Beckwith, Stephen Bond, Brian Granzow, Nathaniel Hamlin, Glen Hansen, Heath Hanshaw, Christopher Jennings, Matthew Martin, Alan Stagg, Thomas Voth, (2019). FLEXO: Development Activities for Z-Next Simulation https://www.osti.gov/servlets/purl/1641605 Publication ID: 70415
Jeremy Lechman, Stephen Bond, Dan Bolintineanu, Gary Grest, C. Yarrington, Leonardo Silbert, (2019). Random walks on jammed networks: Spectral properties Physical Review E https://doi.org/10.1103/PhysRevE.100.012905 Publication ID: 64028
Thomas Voth, Kristian Beckwith, Stephen Bond, Brian Granzow, Nathaniel Hamlin, Daniel Ibanez-Granados, Christopher Jennings, Matthew Martin, Alan Stagg, (2018). Flexo: Development Activities for Z-Next Simulation https://www.osti.gov/servlets/purl/1806876 Publication ID: 59286
Brian Granzow, Thomas Voth, Daniel Ibanez-Granados, Stephen Bond, Glen Hansen, (2018). AMR for Multiphysics Applications on Next Generation Systems https://www.osti.gov/servlets/purl/1806877 Publication ID: 59287
Roger Pawlowski, Edward Phillips, John Shadid, Eric Cyr, Sidafa Conde, Matthew Bettencourt, Eric Phipps, Stephen Bond, Christian Trott, (2018). Towards Towards a Hybrid Multi-fluid/PIC Plasma Capability https://www.osti.gov/servlets/purl/1576717 Publication ID: 63565
Kristian Beckwith, Kristian Beckwith, Kristian Beckwith, Kristian Beckwith, Stephen Bond, Stephen Bond, Stephen Bond, Stephen Bond, Brian Granzow, Brian Granzow, Brian Granzow, Brian Granzow, Christopher Jennings, Christopher Jennings, Christopher Jennings, Christopher Jennings, Matthew Martin, Matthew Martin, Matthew Martin, Matthew Martin, A. Porwitzky, A. Porwitzky, A. Porwitzky, A. Porwitzky, Alan Stagg, Alan Stagg, Alan Stagg, Alan Stagg, Thomas Voth, Thomas Voth, Thomas Voth, Thomas Voth, (2018). Development of the Flexo XMHD Code https://www.osti.gov/servlets/purl/1575114 Publication ID: 63514
Stephen Bond, Andrew Baczewski, (2018). Simulating Solutions to the Generalized Langevin Equation using LAMMPS https://www.osti.gov/servlets/purl/1569416 Publication ID: 63025
Yi Chen, Anirban Mazumdar, Carlton Brooks, Bart van Bloemen Waanders, Stephen Bond, Martin Nemer, (2018). Remote Distributed Vibration Sensing Through Opaque Media Using Permanent Magnets IEEE Transactions on Magnetics https://doi.org/10.1109/TMAG.2018.2816578 Publication ID: 61748
Dan Bolintineanu, Jeremy Lechman, Stephen Bond, C. Yarrington, Robert Knepper, Sharlotte Kramer, Robert Waymel, E. Quintana, Kevin Long, (2018). Data analysis of heterogeneous materials: applications to energetic materials and polymer foams https://www.osti.gov/servlets/purl/1504826 Publication ID: 61330
Timothy Costa, Stephen Bond, David Littlewood, (2018). Nonlocal and mixed-locality multiscale finite element methods Multiscale Modeling and Simulation https://doi.org/10.1137/16M1090351 Publication ID: 53309
Veena Tikare, Andrew Castillo, Stephen Bond, J. Madison, John Mitchell, Theron Rodgers, (2016). Methods for Quantitative Characterization of Microstructures https://www.osti.gov/servlets/purl/1392762 Publication ID: 52204
David Littlewood, Stephen Bond, Timothy Costa, (2016). Peridynamic Multiscale Finite Element Methods https://www.osti.gov/servlets/purl/1371825 Publication ID: 51027
Timothy Costa, Stephen Bond, David Littlewood, (2016). Multiscale Finite Elements for Nonlocal Materials Models and Local-Nonlocal Coupling https://www.osti.gov/servlets/purl/1367021 Publication ID: 49812
Curtis Ober, Thomas Smith, James Overfelt, Samuel Collis, Gregory von Winckel, Bart van Bloemen Waanders, Nathan Downey, Scott Mitchell, Stephen Bond, David Aldridge, Jerome Krebs, (2016). Visco-TTI-elastic FWI using discontinuous galerkin SEG Technical Program Expanded Abstracts https://doi.org/10.1190/segam2016-13847188.1 Publication ID: 47133
Timothy Costa, Stephen Bond, David Littlewood, Stan Moore, (2015). Peridynamic Multiscale Finite Element Methods https://doi.org/10.2172/1227915 Publication ID: 41818
Timothy Costa, Stephen Bond, David Littlewood, Stan Moore, (2015). Peridynamic Multiscale Finite Element Method https://www.osti.gov/servlets/purl/1506749 Publication ID: 46211
Stephen Bond, Timothy Costa, (2015). A Finite Element Method for Nonlocal Mechanics https://www.osti.gov/servlets/purl/1332646 Publication ID: 46286
David Littlewood, Stewart Silling, John Mitchell, Pablo Seleson, Stephen Bond, Michael Parks, Daniel Turner, Damon Burnett, Jakob Ostien, Max Gunzburger, (2015). Strong Local-Nonlocal Coupling for Integrated Fracture Modeling https://doi.org/10.2172/1221526 Publication ID: 45592
Stephen Bond, (2014). Regularized Tomographic Density Imaging Using Multiple Frequency Information IEEE International Ultrasonics Symposium Procedings https://www.osti.gov/biblio/1147891 Publication ID: 41167
David Littlewood, Stewart Silling, Richard Lehoucq, Michael Parks, Daniel Turner, Stephen Bond, (2014). Peridynamic Modeling of Material Failure and Fracture https://www.osti.gov/servlets/purl/1706390 Publication ID: 40489
Stephen Bond, Richard Lehoucq, (2014). Analysis and approximation of a finite-range jump process via radial basis function methods https://www.osti.gov/servlets/purl/1140712 Publication ID: 36877
Stephen Bond, (2014). Multilevel summation methods for efficient evaluation of long-range pairwise interactions in atomistic and coarse-grained molecular simulation https://doi.org/10.2172/1147669 Publication ID: 36829
Stephen Bond, Richard Lehoucq, (2013). A Galerkin Radial Basis Function Method for Nonlocal Diffusion https://doi.org/10.1007/978-3-319-06898-5_1 Publication ID: 31977
Stephen Bond, (2013). Numerical methods for the Extended Variable Generalized Langevin Equation https://www.osti.gov/servlets/purl/1121372 Publication ID: 31750
Andrew Baczewski, C. Yarrington, Stephen Bond, William Erikson, Richard Lehoucq, Lisa Mondy, David Noble, Flint Pierce, Christine Roberts, Frank Van Swol, (2013). Computational Mechanics for Heterogeneous Materials https://doi.org/10.2172/1325910 Publication ID: 31691
Stephen Bond, Andrew Baczewski, (2013). Numerical methods for the Extended Variable Generalized Langevin Equation https://www.osti.gov/servlets/purl/1095832 Publication ID: 36074
Stephen Bond, Stephen Rowe, (2013). Analysis and approximation of a finite-range jump process via radial basis function methods https://www.osti.gov/servlets/purl/1108274 Publication ID: 35431
Stephen Bond, (2013). Quadrature for nonlocal mechanics and peridynamics https://www.osti.gov/servlets/purl/1106868 Publication ID: 34677
Michael Parks, Richard Lehoucq, Stephen Bond, Randall Summers, Samuel Collis, (2013). CM4 and Peridynamics https://www.osti.gov/servlets/purl/1656990 Publication ID: 32398
Andrew Baczewski, Stephen Bond, (2013). Numerical integration of the extended variable generalized Langevin equation with a positive Prony representable memory kernel Journal of Chemical Physics https://doi.org/10.1063/1.4815917 Publication ID: 32922
Burak Aksoylu, Stephen Bond, Eric Cyr, Michael Holst, (2012). Goal-oriented adaptivity and multilevel preconditioning for the poisson-boltzmann equation Journal of Scientific Computing https://www.osti.gov/biblio/1067816 Publication ID: 27819
Stephen Bond, (2012). On the estimation and correction of discretization error in molecular dynamics averages Proposed for publication in Applied Numerical Mathematics. https://www.osti.gov/biblio/1062764 Publication ID: 25746
Stephen Bond, (2011). Goal-Oriented Adaptivity for the Poisson-Boltzmann Equation https://www.osti.gov/servlets/purl/1109179 Publication ID: 21838
Eric Cyr, Stephen Bond, (2010). Goal-Oriented Error Estimation and Multilevel Preconditioning for the Poisson-Boltzmann Equation Springer Journal of Scientific Computing https://www.osti.gov/biblio/1121614 Publication ID: 20583
Showing Results.