D. Benson

发表

Direct Trajectory Optimization and Costate Estimation via an Orthogonal Collocation Method

Anil V. Rao, Geoffrey T. Huntington, A. Rao, 2006 .

Application of a fractional advection‐dispersion equation

D. Benson, M. Meerschaert, S. Wheatcraft, 2000 .

The fractional‐order governing equation of Lévy Motion

D. Benson, M. Meerschaert, S. Wheatcraft, 2000 .

Upscaling chemical reactions in multicontinuum systems: When might time fractional equations work?

D. Benson, D. Bolster, K. Singha, 2017 .

Fractional Dispersion, Lévy Motion, and the MADE Tracer Tests

D. Benson, M. Meerschaert, S. Wheatcraft, 2001 .

Recurrence of extreme events with power‐law interarrival times

Rina Schumer, David A. Benson, Mark M. Meerschaert, 2007 .

Random walk approximation of fractional-order multiscaling anomalous diffusion.

Hans-Peter Scheffler, Eric M LaBolle, Mark M Meerschaert, 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

On Using Random Walks to Solve the Space-Fractional Advection-Dispersion Equations

David A. Benson, Mark M. Meerschaert, Hans-Peter Scheffler, 2006 .

Multiscaling fractional advection‐dispersion equations and their solutions

Rina Schumer, David A. Benson, Mark M. Meerschaert, 2003 .

Fractal mobile/immobile solute transport

Rina Schumer, David A. Benson, Mark M. Meerschaert, 2003 .

Stochastic solution of space-time fractional diffusion equations.

Hans-Peter Scheffler, Boris Baeumer, Mark M Meerschaert, 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

Subordinated advection‐dispersion equation for contaminant transport

David A. Benson, Mark M. Meerschaert, Boris Baeumer, 2001 .

Operator Lévy motion and multiscaling anomalous diffusion.

D. Benson, M. Meerschaert, B. Baeumer, 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

Costate approximation in optimal control using integral Gaussian quadrature orthogonal collocation methods

W. Hager, A. Rao, D. Benson, 2015 .

Optimal Configuration of Tetrahedral Spacecraft Formations 1

Geoffrey T. Huntington, A. Rao, D. Benson, 2007 .

Optimal configuration of tetrahedral spacecraft formations

Anil V. Rao, Geoffrey T. Huntington, A. Rao, 2007 .

Radial fractional‐order dispersion through fractured rock

D. Benson, M. Meerschaert, C. Tadjeran, 2004 .

Time and space nonlocalities underlying fractional-derivative models: Distinction and literature review of field applications

D. Benson, Yong Zhang, D. Reeves, 2009 .

Fractional calculus in hydrologic modeling: A numerical perspective.

D. Benson, M. Meerschaert, Jordan Revielle, 2013, Advances in water resources.

Particle tracking and the diffusion‐reaction equation

D. Benson, D. Bolster, A. Paster, 2013 .

Simulating Scale-Dependent Solute Transport in Soils with the Fractional Advective–Dispersive Equation

D. Benson, Y. Pachepsky, W. Rawls, 2000 .

Multidimensional advection and fractional dispersion.

D. Benson, M. Meerschaert, B. Bäumer, 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

A Comparison of Accuracy and Computational Efficiency of Three Pseudospectral Methods

Geoffrey T. Huntington, A. Rao, D. Benson, 2007 .

POST-OPTIMALITY EVALUATION AND ANALYSIS OF A FORMATION FLYING PROBLEM VIA A GAUSS PSEUDOSPECTRAL METHOD

A. Rao, D. Benson, G. Huntington, 2005 .

Entropy: (1) The former trouble with particle-tracking simulation, and (2) A measure of computational information penalty

Michael J. Schmidt, D. Benson, S. Pankavich, 2020, Advances in Water Resources.

TIVA and SEI Developments for Enhanced Front and Backside Interconnection Failure Analysis

D. Benson, P. Tangyunyong, D. Barton, 1999 .

Fractional Dispersion, Lévy Motion, and the MADE Tracer Tests

Rina Schumer, David A. Benson, Mark M. Meerschaert, 2001 .

Incomplete mixing and reactions with fractional dispersion

Alexandre M. Tartakovsky, David A. Benson, Diogo Bolster, 2012 .

Aquifer operator scaling and the effect on solute mixing and dispersion

David A. Benson, Mark M. Meerschaert, Hans-Peter Scheffler, 2006 .

Comparison of Fickian and temporally nonlocal transport theories over many scales in an exhaustively sampled sandstone slab

David A. Benson, Reed M. Maxwell, Eileen P. Poeter, 2011 .

Transport of conservative solutes in simulated fracture networks: 1. Synthetic data generation

Donald M. Reeves, David A. Benson, Mark M. Meerschaert, 2008 .

Testing the limits of the spatial Markov model for upscaling transport: The role of nonmonotonic effective velocity autocorrelations.

Diogo Bolster, D. Benson, D. Bolster, 2016, Physical review. E.

Residence time distributions in surface transient storage zones in streams: Estimation via signal deconvolution

David A. Benson, Michael N. Gooseff, Wilfred M. Wollheim, 2011 .

AN OVERVIEW OF THREE PSEUDOSPECTRAL METHODS FOR THE NUMERICAL SOLUTION OF OPTIMAL CONTROL PROBLEMS

William W. Hager, Anil V. Rao, Divya Garg, 2017 .

Fragmentation of metal rings by electromagnetic loading

D. E. Grady, D. A. Benson, D. Benson, 1983 .

Micro-machined heat pipes in silicon MCM substrates

D. A. Benson, Melanie R. Tuck, D. Benson, 1996, Proceedings 1996 IEEE Multi-Chip Module Conference (Cat. No.96CH35893).

A simple and efficient random walk solution of multi-rate mobile/immobile mass transport equations

David A. Benson, Mark M. Meerschaert, D. Benson, 2009 .

Moment analysis for spatiotemporal fractional dispersion

D. Benson, Yong Zhang, B. Baeumer, 2008 .

Reactive particle-tracking solutions to a benchmark problem on heavy metal cycling in lake sediments.

Michael J. Schmidt, D. Benson, A. Navarre‐Sitchler, 2019, Journal of contaminant hydrology.

Predicting the enhancement of mixing-driven reactions in nonuniform flows using measures of flow topology.

Diogo Bolster, Nicholas B Engdahl, D. Benson, 2014, Physical review. E, Statistical, nonlinear, and soft matter physics.

Reply to comment by A. Fiori et al. on “Comparison of Fickian and temporally nonlocal transport theories over many scales in an exhaustively sampled sandstone slab”

D. Benson, A. Atchley, R. Maxwell, 2012 .

Aerosol production by high-velocity molten-metal droplets

D. Benson, D. Rader, 1988 .

Corrigendum: Algorithm 902: GPOPS, a MATLAB software for solving multiple-phase optimal control problems using the gauss pseudospectral method

Anil V. Rao, Michael A. Patterson, Geoffrey T. Huntington, 2011, TOMS.

Grüneisen parameters of pyrolytic graphites

D. Benson, W. Gauster, 1975 .

Advection and dispersion in time and space

David A. Benson, Mark M. Meerschaert, Boris Baeumer, 2002 .

Apparent directional mass‐transfer capacity coefficients in three‐dimensional anisotropic heterogeneous aquifers under radial convergent transport

David A. Benson, Diogo Bolster, Xavier Sanchez-Vila, 2014 .

Semiconductor bridge: A plasma generator for the ignition of explosives

Wayne M. Trott, R. W. Bickes, A. M. Renlund, 1987 .

Isochoric measurement of the equation of state of solid argon at high pressure

R. K. Crawford, D. Benson, W. B. Daniels, 1974 .

Fast rise‐time calorimeter for relativistic electron beam diagnostics

D. Benson, A. L. Ouellette, 1976 .

Vapor properties of gold at extreme temperatures by pulsed‐electron‐beam measurement

D. Benson, 1976 .

Stress‐generation and unloading properties of pulse‐heated porous carbon determined by a side gauging technique

D. Benson, 1975 .

Algorithm 902: GPOPS, A MATLAB software for solving multiple-phase optimal control problems using the gauss pseudospectral method

Anil V. Rao, David A. Benson, Christopher Darby, 2010, TOMS.

A unified framework for the numerical solution of optimal control problems using pseudospectral methods

William W. Hager, Anil V. Rao, Divya Garg, 2010, Autom..

Communication: A full solution of the annihilation reaction A + B → [empty-set] based on time-subordination.

D. Benson, D. Bolster, A. Paster, 2013, The Journal of chemical physics.

Space‐fractional advection‐dispersion equations with variable parameters: Diverse formulas, numerical solutions, and application to the Macrodispersion Experiment site data

David A. Benson, Mark M. Meerschaert, Eric M. LaBolle, 2007 .

Predicting flow and transport in highly heterogeneous alluvial aquifers

David A. Benson, Mark M. Meerschaert, Gaisheng Liu, 2014 .

Lagrangian simulation of mixing and reactions in complex geochemical systems

David A. Benson, Diogo Bolster, Nicholas B. Engdahl, 2017 .

Influence of fracture statistics on advective transport and implications for geologic repositories

Donald M. Reeves, David A. Benson, Mark M. Meerschaert, 2008 .

Eulerian derivation of the fractional advection-dispersion equation.

D. Benson, M. Meerschaert, S. Wheatcraft, 2001, Journal of contaminant hydrology.

Predicting the Tails of Breakthrough Curves in Regional‐Scale Alluvial Systems

Boris Baeumer, D. Benson, Yong Zhang, 2007, Ground water.

Space-fractional advection-dispersion equations with variable parameters : Diverse formulas , numerical solutions , and application to the MADE-site data

David A. Benson, Mark M. Meerschaert, Eric M. LaBolle, 2007 .

Relationship between flux and resident concentrations for anomalous dispersion

D. Benson, Yong Zhang, B. Baeumer, 2006 .

On the diversity of space-fractional advection-dispersion equations with variable parameters : which form should we select ?

D. Benson, M. Meerschaert, Zhang Yong, 2006 .

Parallelized Domain Decomposition for Multi-Dimensional Lagrangian Random Walk, Mass-Transfer Particle Tracking Schemes

Michael J. Schmidt, D. Benson, D. Bolster, 2022, SSRN Electronic Journal.

A Computational Information Criterion for Particle-Tracking with Sparse or Noisy Data pdf

Michael J. Schmidt, David A. Benson, Nhat Thanh Tran, 2021, ArXiv.

Elimination of the Reaction Rate “Scale Effect”: Application of the Lagrangian Reactive Particle‐Tracking Method to Simulate Mixing‐Limited, Field‐Scale Biodegradation at the Schoolcraft (MI, USA) Site

David A. Benson, Diogo Bolster, Daniel Fernàndez-Garcia, 2017 .

Modeling bimolecular reactions and transport in porous media via particle tracking

David A. Benson, Diogo Bolster, Amir Paster, 2013 .

Numerical equivalence between SPH and probabilistic mass transfer methods for Lagrangian simulation of dispersion

Guillem Sole-Mari, Michael J. Schmidt, David A. Benson, 2018, Advances in Water Resources.

Accelerating and Parallelizing Lagrangian Simulations of Mixing‐Limited Reactive Transport

Michael J. Schmidt, David A. Benson, Nicholas B. Engdahl, 2018, Water Resources Research.

On the accuracy of simulating mixing by random-walk particle-based mass-transfer algorithms

Michael J. Schmidt, D. Benson, S. Pankavich, 2018, Advances in Water Resources.

Ensemble solute transport in two‐dimensional operator‐scaling random fields

Nathan D. Monnig, D. Benson, M. Meerschaert, 2008 .

Ensemble Solute Transport in 2-D Operator-Scaling 1 Random Fields

Nathan D. Monnig, D. Benson, 2007 .

On the Errors Associated with Two-Dimensional Stochastic Solute Transport Models

D. Benson, G. Pohll, J. Warwick, 2000 .

The Fractional Advection-Dispersion Equation: Development and Application A dissertation submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy in Hydrogeology by

David A. Benson, D. Benson, 1998 .

Ensemble Solute Transport in 2-D Operator-Scaling Random 1 Fields

Nathan D. Monnig, D. Benson, M. Meerschaert, 2022 .

Entropy: The former trouble with particles (including a new numerical model computational penalty for the Akaike information criterion)

Guillem Sole-Mari, Stephen Pankavich, David A. Benson, 2019, 1905.06119.

A comparison of Eulerian and Lagrangian transport and non-linear reaction algorithms

David A. Benson, Diogo Bolster, Daniel Fernàndez-Garcia, 2017 .

Lagrangian simulation of multidimensional anomalous transport at the MADE site

David A. Benson, D. Benson, Yong Zhang, 2008 .

Simulating biodegradation under mixing-limited conditions using Michaelis-Menten (Monod) kinetic expressions in a particle tracking model

David A. Benson, D. Benson, Dong Ding, 2014 .

Mixing-Driven Equilibrium Reactions in Multidimensional Fractional Advection Dispersion Systems.

D. Benson, B. Baeumer, D. Bolster, 2013, Physica A.

Optimal Time Step Length for Lagrangian Interacting-Particle Simulations of Diffusive Mixing

Michael J. Schmidt, D. Benson, D. Bolster, 2022, Transport in Porous Media.

Comparison of instantaneous and constant‐rate stream tracer experiments through non‐parametric analysis of residence time distributions

James P. McNamara, John H. Bradford, David A. Benson, 2008 .

Hydraulic conductivity, velocity, and the order of the fractional dispersion derivative in a highly heterogeneous system

D. Benson, M. Meerschaert, K. McCall, 2002 .

Fractional dispersion in a sand bed river

D. N. Bradley, D. Benson, G. Tucker, 2010 .

Anomalous mixing and reaction induced by superdiffusive nonlocal transport.

Diogo Bolster, Tanguy Le Borgne, Marco Dentz, 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

Arbitrarily complex chemical reactions on particles

David A. Benson, Diogo Bolster, D. Benson, 2016 .

A Kernel-based Lagrangian method for imperfectly-mixed chemical reactions

Michael J. Schmidt, D. Benson, S. Pankavich, 2016, J. Comput. Phys..

A particle number conserving Lagrangian method for mixing‐driven reactive transport

David A. Benson, Diogo Bolster, Amir Paster, 2016 .

Simulation of chemical reaction via particle tracking: Diffusion‐limited versus thermodynamic rate‐limited regimes

David A. Benson, Mark M. Meerschaert, D. Benson, 2008 .

Connecting the dots: Semi-analytical and random walk numerical solutions of the diffusion-reaction equation with stochastic initial conditions

David A. Benson, Diogo Bolster, Amir Paster, 2014, J. Comput. Phys..

Nonparametric, data-based kernel interpolation for particle-tracking simulations and kernel density estimation

Michael J. Schmidt, D. Benson, D. Bolster, 2020, 2010.06737.

Hydraulic conductivity fields: Gaussian or not?

Mark M Meerschaert, D. Benson, M. Meerschaert, 2013, Water resources research.

Transport of conservative solutes in simulated fracture networks: 2. Ensemble solute transport and the correspondence to operator‐stable limit distributions

Donald M. Reeves, David A. Benson, Mark M. Meerschaert, 2008 .

Governing equations and solutions of anomalous random walk limits.

Hans-Peter Scheffler, Mark M Meerschaert, D. Benson, 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

Application of pulsed electron beam vaporization to studies of UO/sub 2/. [LMFBR]

D. Benson, 1977 .

A model of water streaking down a wall

D. Benson, 2001 .

Entropy: The former trouble with particles (including a new numerical model computational penalty for the Akaike information criterion)

D. Benson, S. Pankavich, G. Sole‐Mari, 2019, 1905.06119.

On the separate treatment of mixing and spreading by the reactive-particle-tracking algorithm: An example of accurate upscaling of reactive Poiseuille flow

Stephen Pankavich, David A. Benson, Diogo Bolster, 2018, Advances in Water Resources.