I have profiles on several services that list my publications and show citations of those publications.

- Google Scholar Citations
- Mendeley.
- Microsoft Academic Search
- ReasearchGate
- Thomson- My Researcher ID
- Academia.edu
- ORCID

Papers that have already appeared in print may not be available here because of copyright considerations, but I can send reprints on request.

Some publishers have policies that allow for the web posting of preprint versions of articles that have appeared in print. In such cases, I try to leave the pre print version up on my web page. In each case I've also included a link to the official published version of the paper- if your institution has a subscription to the journal, then you should be able to get the published version of the paper. If your institution doesn't have a subscription to the journal, then you may also be able to get the paper through interlibrary loan. If this fails, you can contact me directly to obtain a reprint.

The ROMEO web site is a very useful source of information on Publisher's policies.

All of the files here are now in Adobe PDF format. These can be viewed with the Adobe Acrobat reader or with Ghostview. Some of the files have been converted from old postscript files and there may be problems with the conversion. Please contact me if you need the original postscript files.

R. C. Aster, B. Borchers, and C. T. Thurber.
*Parameter Estimation and
Inverse Problems, 2nd ed.* Elsevier Academic Press, 2012.

B. Borchers, J. P. Brooks, and L. McLay.
*Operations Research and
Computing: Algorithms and Software for Analytics.* Proceedings
of the 14th INFORMS Computing Society Conference. INFORMS, 2015.

S. H. Hong, K. Lenth, R. Aumer, B. Borchers, and J. M. H. Hendrickx. Spatial Variability of SEBAL Estimated Root Zone Soil Moisture Across Scales. Preprint. To Appear in International Journal of Remote Sensing, 2016.

S. M. Marrero, F. M. Phillips, B. Borchers, N. Lifton, R. Aumer, and G. Balco. Cosmogenic Nuclide Systematics and the CRONUScalc Program. Quaternary Geochronology, 31:160-187, 2016. Preprint. The software is also available in the form of a Web Based Calculator for dating samples using 36-Cl, 10-Be/26-Al, 3-He, and 14-C.

B. Borchers, S. Marrero, G.Balco, M. Caffee, B. Goehring, N. Lifton, K. Nishiizumi, F. Phillips, J. Schaefer, and J. Stone. Geological Calibration of Spallation Production Rates in the CRONUS-Earth Project. Quaternary Geochronology 31:188-198, 2016. Preprint. An online appendix of MATLAB code and data is also available: appendix.zip.

E. E. Frisbee, J. B. J. Harrison, J. M. H. Hendrickx, and B. Borchers. Remote Sensing for Soil Map Unit Boundary Detection. Reviews in Engineering Geology 22:119-129, 2014. Preprint.

R. L. Van Dam, J. M. H. Hendrickx, N. J. Cassidy, R. E. North, M. Dogan, and B. Borchers. Effects of Magnetite on High-Frequency Ground-Penetrating Radar. Geophysics 78(5):H1-H11, 2013.

Sung-Ho Hong, Jan M. H. Hendrickx, and B. Borchers.
Down-Scaling of SEBAL
Derived Evapotranspiration Maps From MODIS (250m) to LANDSAT (30m) Scale.
*International Journal of Remote Sensing*, 32:6457-6477, 2011.
Preprint.

J. K. MacCarthy, B. Borchers, and R. C. Aster.
Efficient stochastic estimation of the model resolution matrix diagonal a
nd generalized cross validation for large geophysical inverse problems.
*Journal of Geophysical Research*, 116, B10304, 2011.
Preprint.
The code from
this paper is also available.

J. M. H. Hendrickx, J. B. Harrison, B. Borchers, J. R. Kelley,
S. Howington, and J. Ballard.
High-resolution soil moisture mapping in Afghanistan.
In SPIE Proceedings Volume
8017 *Detection and Sensing of Mines, Explosive Objects, and
Obscured Targets XVI*. Edited by R. S. Harmon, J. H. Holloway, and
J. T. Broach, 801710, 2011. Preprint.

J. M. H. Hendrickx, B. J. Harrison, B. Borchers, G. Rodriguez-Marin,
S. Howington, J. Ballard.
High-resolution soil moisture mapping using
operational optical satellite imagery.
In SPIE Proceedings Volume
7664 *Detection and Sensing of Mines, Explosive Objects, and
Obscured Targets XV*. Edited by Harmon, Russell S.; Holloway, John
H., Jr.; Broach, J. Thomas. pp. 76641O-76641O-14, 2010.
Preprint.

J. Brown, J. McCoy, and B. Borchers.
Theory and simulation of the dynamic heat capacity of the East Ising model.
*Journal of Chemical Physics*, 133, 064508 (2010). Reprint.

E. M. Engle, J. B. J. Harrison, J. M. H. Hendrickx, and B. Borchers.
Digital Soil Boundary Detection Using Quantitative Hydrologic Remote
Sensing. *Progress in Soil Science, Volume 2, Part II, Section B*,
123-136, 2010.

J. M. H. Hendrickx, B. Rabus, D. C. Romero, H. When, B. J. Harrison,
S. H. Hong, and B. Borchers.
Preliminary Validation of RADARSAT-2
Surface Soil Moisture Estimates. In SPIE Proceedings Volume 7303,
*Detection and Sensing of Mines, Explosive Objects and Obscured
Targets XIV*, 730310, 2009.

Sung-Ho Hong, Jan M. H. Hendrickx, and B. Borchers.
Up-scaling of SEBAL Derived Evapotranspiration Maps From Landsat
(30 m) to MODIS (250 m) Scale.
*Journal of Hydrology* 370:122-138, 2009.
Preprint.

J. M. H. Hendrickx, H. Xie, J. B. J. Harrison, B. Borchers, and J. Simunek.
Global Prediction of Thermal Soil Regimes.
In SPIE Proceedings Volume
6953 *Detection and Sensing of Mines, Explosive Objects, and Obscured
Targets XIII*. 2008. Preprint.

B. Borchers and J. G. Young.
Implementation of a Primal-Dual Method for SDP on a Shared Memory Parallel Architecture
.
*Computational Optimization and Applications*.
37(3):355-369, 2007.
Preprint.

Review of "Computational Techniques of the Simplex Method by István Maros", Kluwer Academic Publishers, 2003

Brian Borchers

ACM SIGACT News, 2007

ACM SIGACT News, 2007

J. M. H. Hendrickx, N. Alkov, S. H. Hong, R. L. Van Dam, J. Kleissl,
H. Shannon, J. Meason, R.S. Harmon, and B. Borchers.
New
Mexico Tech Landmine, UXO, IED Detection Sensor Test Facility:
Measurements in Real Field Soils.
In
* Detection and Remediation Technologies for Mines and Minelike Targets XI, SPIE Proceedings Volume 6217*,
pages 278--289, 2006. Preprint.

R. L. Van Dam, J. M. H. Hendrickx, and B. Borchers.
Effect of Magnetite on GPR for Detection of Buried Landmines.
In
* Detection and Remediation Technologies for Mines and Minelike Targets XI, SPIE Proceedings Volume 6217*,
pages 172--181, 2006.

R. L. Van Dam, J.B.J. Harrison, C.L. Rittel, J. M. H. Hendrickx, and
B. Borchers.
Magnetic Soil Properties at Two Arid to Semi-Arid Sites in
the Western United States.
In
* Detection and Remediation Technologies for Mines and Minelike Targets XI, SPIE Proceedings Volume 6217*,
pages 205--215, 2006.

B. Borchers. Ten's Complement
Arithmetic. *Journal of the Oughtred
Society*, 15(1):44, 2006.

R. L. Van Dam, J. M. H. Hendirckx, and B. Borchers.
Strength of Landmine
Signatures Under Different Soil Conditions: Implications for Sensor
Fusion
*International Journal of Systems Science*
36(9): 573-588, 2005. preprint.

B. Borchers. Prosthaphaeresis.
*Journal of the Oughtred
Society*, 14(2):3-4, 2005.

B. Borchers. The Crichlow Slide
Rule. *Journal of the Oughtred
Society*, 14(2):63-64, 2005.

P. F. Mondragon and B. Borchers.
A Comparison of Nonlinear Regression Codes.
*Journal of Modern Applied Statistical Methods*
4(1):343-352, 2005.

S. H. Hong, J. M. H. Hendrickx, and B. Borchers. Effect of Scaling Transfer Between Evapostranspiration Maps Derived from LandSat 7 and MODIS Images
In
*Targets and Backgrounds XI: Characterization and Representation.
SPIE
Proceedings Volume 5811*, pages 147-158, 2005.

R. L. van Dam, J. M. H. Hendrickx, and B. Borchers.
Methods for Prediction of Soil Dielectric Properties:
A Review.
In
* Detection and
Remediation Technologies for Mines and Minelike Targets X, SPIE
Proceedings Volume 5794*, pages 188-197, 2005.

R. L. van Dam, B. J. Harrison, J. . M. H. Hendrickx, B. Borchers, R. E. North,
Janet E. Simms, C. Jasper, C. W. Smith, Y. Li.
Variability of Magnetic Soil Properties in Hawaii.
In
* Detection and
Remediation Technologies for Mines and Minelike Targets X, SPIE
Proceedings Volume 5794*, pages 157-164, 2005.

J. M. H. Hendrickx, J. B. J. Harrison, R. L. van Dam, B. Borchers,
D. I. Norman, C. D. Dedzoe, B. O. Antwi, R.D. Asiamah, C. Rodgers, P. Vlek,
and J. Friesen.
Magnetic Soil Properties in Ghana.
In
* Detection and
Remediation Technologies for Mines and Minelike Targets X, SPIE
Proceedings Volume 5794*, pages 165-176, 2005.

R. L. van Dam, B. J. Harrison, J. M. H. Hendrickx, and B. Borchers.
Conceptual Model for Prediction of Magnetic Properties in Tropical
Soils.
In

T. W. Miller, J. M. H. Hendrickx, and B. Borchers.
Radar Detection of Buried Landmines in Field Soils.
* Vadose Zone Journal* 3:1116-1127, 2004.
Preprint
.

J. B. Rhebergen, H. A. Lensen, R. van Wijk, J. M. H. Hendrickx,
R. L. van Dam, and B. Borchers.
Prediction of Soil Effects on GPR Signatures.
In * Detection and
Remediation Technologies for Mines and Minelike Targets IX, SPIE
Proceedings Volume 5415*, pages 705-715, 2004.

R. L. van Dam, J. M. H. Hendirckx,
B. Harrison, D. I. Norman, S. Ndur, C. Jasper, P. Niemeyer, R. Nartey,
D. Vega, L. Calvo, and J.E. Simms.
Spatial Variability of Magnetic Soil Properties.
In * Detection and
Remediation Technologies for Mines and Minelike Targets IX, SPIE
Proceedings Volume 5415*, pages 665-676, 2004.

R. L. van Dam, J. M. H. Hendirckx, B. Borchers, S. H. Hong, T. W. Miller, and R. S. Harmon.
A Controlled Outdoor Test Site for Evaluation of Soil Effects on Land Mine
Detection Sensors.
In
* Detection and
Remediation Technologies for Mines and Minelike Targets IX, SPIE
Proceedings Volume 5415*, pages 1335-1344, 2004.

R. L. van Dam,
J. M. H. Hendirckx, B. Borchers, and S. H. Hong.
Controlled Field Experiments of Wind Effects on Thermal Signatures of
Buried and Surface--Laid Land Mines
In

J. M. H. Hendrickx, R. L. van Dam, B. Borchers,
J. Curtis, H. A. Lensen, and R. Harmon.
Worldwide Distribution of Soil Dielectric and Thermal Properties.
In *Detection and Remediation Technologies for Mines and Minelike Targets
VIII*, Proceedings of the SPIE, volume 5089, pages 1158-1168, 2003.

R. L. Van Dam, B. Borchers, J. M. H. Hendrickx, and S. H. Hong.
Soil Effects on Thermal Signatures of Buried Nonmetallic Landmines,
In *Detection and Remediation Technologies for Mines and Minelike Targets
VIII*, Proceedings of the SPIE, volume 5089, pages 1210-1218, 2003.

J. M. H. Hendrickx, S. H. Hong, T. W. Miller, B. Borchers and
J. Rhebergen.
Soil Effects on GPR Detection of Buried
Non-Metallic Mines
In *Ground Penetrating Radar: Applications
in Sedimentology*, C.S. Bristow and H. M. Jol eds., pages 191-198,
Geological Society, London, 2003.

R. L. van Dam, B. Borchers, J. M. H. Hendrickx, and R.S. Harmon. Effects of soil water content and texture on radar and infrared landmine sensors: implications for sensor fusion. In Proc. International Conference on Requirements and Technologies for the Detection, Removal, and Neutralization of Landmines and UXO (Vol. 1, pp. 107-114).

B. Borchers.
Five Pickett Electronics Slide Rules.
*Journal of
the Oughtred Society*, 12(1):4--7, 2003.

Sung-Ho Hong, Timothy W. Miller, Jan M. H. Hendrickx, Henk
A. Lensen, Piet B. W. Schwering, and Sebastiaan P. van den Broek.
Land Mine Detection in Bare Soils Using Thermal Infrared Sensors.
In * Detection and Remediation Technologies for Mines and
Minelike Targets VII*, SPIE Proceedings volume 4742,
pages 43-50, 2002.

Timothy Miller, B. Borchers, Jan M. H. Hendrickx, Sung-Ho
Hong, Henk A. Lensen, Piet B.W. Schwering, and Jan Rhebergen.
Effect of Soil Moisture on Landmine Detection Using Ground
Penetrating Radar.
In * Detection and Remediation Technologies for Mines and
Minelike Targets VII*, SPIE Proceedings volume 4742,
pages 281-290, 2002.

C. A. Rowe, R. C. Aster, B. Borchers, and C. J. Young.
An Automatic, Adaptive Algorithm for Refining Phase Picks in Large Seismic
Data Sets.
* Bulletin
of the Seismological Society of America* 92(5):1660-1674, 2002.

T. W. Miller, B. Borchers, J. M. H. Hendrickx, S. H. Hong, L. W. Dekker, and C. J. Ritsema. Effects of soil physical properties on GPR for landmine detection, Fifth International Symposium on Technology and the Mine Problem, 2002.

J. M. H. Hendrickx, B. Borchers, D. L. Corwin, S. M. Lesch, Alex C. Hilgendorf, and J. Schlue.
Inversion of Soil Conductivity Profiles from Electromagnetic
Induction Measurements: Theory and Experimental Verification,
*Soil Science Society of America Journal*
66(3):673-685, 2002. MATLAB code
implementing the method described in this paper is also available.

C.A. Rowe, R. C. Aster, W. S. Phillips, R. H. Jones, B. Borchers,
and M. C. Fehler.
Using Automated High-Precision Repicking to Improve Delineation of
Microeseismic Structures at the Soultz Geothermal Reservoir.
*Pure and Applied Geophysics* 159:563-596, 2002.

(MINLP): Branch and Bound Methods. In
*Encyclopedia of Optimization* volume 3, p 331-335, Kluwer, 2001.

J. Simunek, J. M. H. Hendrickx, and B. Borchers.
Modeling Transient Temperature Distributions Around Landmines in
Homogeneous Bare Soils.
In * Detection and Remediation Technologies for Mines and
Minelike Targets VI*, SPIE Proceedings volume 4394,
pages 387-397, 2001.

J. M. H. Hendrickx, B. Borchers, J. Woolslayer, L. W. Dekker,
C. Ritsema, and S. Paton.
Spatial Variability of Dielectric Properties in Field
Soils.
In * Detection and Remediation
Technologies for Mines and Minelike Targets VI*, SPIE Proceedings
volume 4394, pages 398-408, 2001.

S. H. Hong, T. Miller, H. Tobin, B. Borchers,
J. M. H. Hendrickx, H. Lensen, P. Schwering, and B. Baertlein.
Impact of Soil Water Content on Landmine Detection Using Radar and
Thermal Infrared Sensors.
In * Detection and Remediation Technologies for Mines and
Minelike Targets VI*, SPIE Proceedings volume 4394,
pages 409-416, 2001.

B. S. Das, J. M. H. Hendrickx, and B. Borchers.
Modeling Transient Water Distributions Around Landmines in Bare Soils.
*Soil Science* 166(3):163-173, 2001.

R. Neupauer and B. Borchers.
A MATLAB Implementation of the Minimum Relative
Entropy Method for Linear Inverse Problems.
* Computers &
Geosciences* 27:757-762, 2001.
The Software is also available.
Preprint.

B. Borchers and N. H. Cotter.
The Sun Hemmi System of Trigonometric and Hyperbolic Scales.
* Journal
of the Oughtred Society* 9(2):28-31, 2000.

R. Neupauer, B. Borchers, and J. L. Wilson.
Comparison of Inverse Methods for Reconstructing the
Release History of a Groundwater Contamination Source,
*Water Resources Research* 36(9):2469-2475, 2000.

B. Borchers, J. M. H. Hendrickx, Bhabani S. Das, and Sung-Ho Hong.
Enhancing dielectric contrast between land mines and
the soil environment by watering: modeling, design, and
experimental results.
In * Detection and Remediation Technologies
for Mines and Minelike Targets V*, Proceedings of SPIE Vol. 4038,
pages 993-1000, 2000. MATLAB code for predicting
the dielectric constant of soil is also available.

J. E. Mitchell and B. Borchers.
Solving linear ordering problems with a combined
interior point/simplex cutting plane algorithm.
In *High Performance Optimization*,
H. Frenk et al. eds., pages 349-366, Kluwer Academic Publishers, 2000.

B. Borchers.
CSDP, A C Library for Semidefinite Programming. *Optimization Methods and
Software* 11(1):613-623, 1999.
Preprint.
See the CSDP page for the latest version of the code.

B. Borchers.
CSDP 2.3 User's Guide. *Optimization Methods and
Software* 11(1):597-611, 1999.
Preprint.

B. Borchers.
SDPLIB 1.2, A Library of Semidefinite Programming Test Problems.
*Optimization Methods and Software*. 11(1):683-690, 1999.
Preprint.

J. M. H. Hnedirckx, B. S. Das, and B. Borchers.
Modeling Distributions of Water and Dielectric Constants Around
Landmines in Homogeneous Soils.
In * Detection and Remediation Technologies for Mines and
Minelike Targets IV*, Proceedings of SPIE Vol. 3710,
pages 728-738, 1999.

B. Borchers and J. Furman.
A Two-Phase Exact Algorithm for
MAX-SAT and Weighted MAX-SAT Problems.
* Journal of Combinatorial Optimization.* 2(4):299-306, 1998.
preprint.
The C code from
this paper is also available.

S. Joy, J.E. Mitchell, and B. Borchers.
A Branch-And-Cut
Algorithm for MAX-SAT and weighted MAX-SAT.
In
*Satisfiability Problem:
Theory and Applications*, DIMACS Series in Discrete Mathematics
and Theoretical Computer Science, volume 35, pages 519-536, American
Mathematical Society, 1997.

B. Borchers, S. H. Conrad, E. K. Webb, R. J. Glass, Jr., and R. Cox. A Simulation and Decision Analysis Approach to Locating DNAPL in Subsurface Sediments, Sandia National Laboratories technical report. SAND97-2261, 1997.

B. Borchers, T. Uram, and J. M. H. Hendrickx.
Tikhonov Regularization of Electrical Conductivity Depth Profiles
in Field Soils.
*Soil Science Society of America Journal.*
61(4):1004-1009, 1997. MATLAB code from this
paper is also available.

B. Borchers and J. E. Mitchell.
A Computational Comparison of Branch and Bound and Outer Approximation
Methods for 0-1 mixed integer nonlinear programs,
*Computers and Operations Research.* 24(8):699-701, 1997.

B. Borchers, S. Conrad, R. Cox, R. Glass Jr., and E. Webb.
A Simulation and Decision Analysis Approach to Locating DNAPLS in Subsurface Sediments,
In * Next Generation Environmental Models and Computational Methods*,
pages 281-285, SIAM, 1997.

J. E. Mitchell and B. Borchers.
Solving Real-World Linear Ordering Problems Using a Primal-Dual Interior Point Cutting Plane Method.
* Annals of Operations Research.* 62:253-276, 1996.

K. Anderson, B. Borchers, M. Brown, A. Georgieva, D. Goldstein, R. Guyer, D. Ropp, and S. Schaffer.
Numerical Modeling of Contaminant Transport in a Porous Medium: The Uncertainty
in the Solution Arising from Uncertainty in Model Parameters.
In *Proceedings of the Eleventh Annual Workshop on Mathematical Problems
In Industry* (June 12-16 1995), Los Alamos National Laboratories
Technical Report LA-UR-95-4038, 1995.

B. Borchers and J. E. Mitchell.
An Improved Branch and Bound Algorithm for Mixed Integer Nonlinear Programs
,
* Computers and Operations Research.* 21(4):359-367, 1994.

Solution to Problem 1400, Condition for Commutativity in Semigroups,
* Mathematics Magazine* 66(3):198, 1993.

J. E. Mitchell and B. Borchers.
A Primal-Dual Interior Point Cutting Plane Method for the Linear Ordering Problem.
* COAL Bulletin.* No. 21, November, 1992, p 13-18.

B. Borchers.
*
Improved Branch and Bound Algorithms for Integer Programming,* PhD thesis, Rensselaer, August, 1992.

B. Borchers. Catching Paul Revere, An Example Of The Analysis Of A Social Network. . NMT Math Department Seminar, April 11, 2014. The MATLAB code for computing centrality measures is also available.

B. Borchers. An Overview of Software for Convex Optimization. Institute for Pure and Applied Mathematics, UCLA, September 21, 2010.

Issues In Implementing The Primal-Dual Method for SDP. International Symposium on Mathematical Programming, Chicago, August 26, 2009.

Open Access From the Point of View of a Faculty Member. Presented at the SLA meeting in Socorro, October 13, 2005.

G. Rodriguez--Marin, B. J. Harrison, B. Borchers, and J. M. H. Hendrickx.
Occurence of Dissolution Pipes Through Indurated Calcic Horizons
Revised, December 6, 2003.
Submitted to *Vadose Zone Journal*.

C. Barefoot, B. Borchers, F. Harary.
Achievement and
Avoidance Games on Semigraphs
April 9, 2003. Submitted for publication
in * Journal of Recreational Mathematics*. C code to play some
of the games is also available (.tar) (.zip).

CSDP 6.0 User's Guide, November 1, 2006.

A Reading List in Combinatorial Optimization, Revised, February 9, 1999.

B. Borchers and J. E. Mitchell. Using an Interior Point Method in a Branch and Bound Algorithm for Integer Programming. RPI Math Department Technical Report No. 195, Revised July 7, 1992.

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