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Martin Berz - Publications

Affiliations: 
1990- Physics and Astronomy Michigan State University, East Lansing, MI 
Area:
Scientific Computing
Website:
http://bt.pa.msu.edu/index_berz.htm
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123 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2020 Müller F, Żurek M, Bagdasarian Z, Barion L, Berz M, Ciepal I, Ciullo G, Dymov S, Eversmann D, Gaisser M, Gebel R, Grigoryev K, Grzonka D, Hejny V, Hempelmann N, et al. Measurement of deuteron carbon vector analyzing powers in the kinetic energy range 170–380 MeV European Physical Journal A. 56: 1-8. DOI: 10.1140/Epja/S10050-020-00215-8  0.309
2020 Weisskopf A, Armellin R, Berz M. Bounded motion design in the Earth zonal problem using differential algebra based normal form methods Celestial Mechanics and Dynamical Astronomy. 132. DOI: 10.1007/S10569-020-9953-X  0.307
2019 Valetov E, Berz M, Makino K. Computation of the main and fringe fields for the electrostatic quadrupoles of the muon g − 2 storage ring International Journal of Modern Physics A. 34: 1942041. DOI: 10.1142/S0217751X19420417  0.603
2019 Tarazona DA, Berz M, Makino K, Stratakis D, Syphers MJ. Dynamical simulations of the Muon Campus at Fermilab International Journal of Modern Physics A. 34: 1942033. DOI: 10.1142/S0217751X19420338  0.596
2019 Weisskopf A, Tarazona D, Berz M. Computation and consequences of high order amplitude- and parameter-dependent tune shifts in storage rings for high precision measurements International Journal of Modern Physics A. 34: 1942011. DOI: 10.1142/S0217751X19420119  0.393
2019 Valetov E, Berz M, Makino K. Validation of transfer map calculation for electrostatic deflectors in the code COSY INFINITY International Journal of Modern Physics A. 34: 1942010. DOI: 10.1142/S0217751X19420107  0.583
2019 Tarazona DA, Berz M, Makino K. Muon loss rates from betatron resonances at the Muon g − 2 Storage Ring at Fermilab International Journal of Modern Physics A. 34: 1942008. DOI: 10.1142/S0217751X19420089  0.577
2019 Kazantseva E, Weick H, Berz M, Makino K, Boine-Frankenheim O. Accurate Taylor transfer maps for large aperture iron dominated magnets used in charged particle separators and spectrometers Nuclear Instruments and Methods in Physics Research Section a: Accelerators, Spectrometers, Detectors and Associated Equipment. 935: 56-64. DOI: 10.1016/J.Nima.2019.04.086  0.571
2018 Kunz J, Snopok P, Berz M, Makino K. Hybrid methods for muon accelerator simulations with ionization cooling1 Journal of Instrumentation. 13: P07026-P07026. DOI: 10.1088/1748-0221/13/07/P07026  0.766
2017 Williams J, Zhou F, Sun T, Tao Z, Chang K, Makino K, Berz M, Duxbury PM, Ruan CY. Active control of bright electron beams with RF optics for femtosecond microscopy. Structural Dynamics (Melville, N.Y.). 4: 044035. PMID 28868325 DOI: 10.1063/1.4999456  0.334
2017 Hempelmann N, Hejny V, Pretz J, Stephenson E, Augustyniak W, Bagdasarian Z, Bai M, Barion L, Berz M, Chekmenev S, Ciullo G, Dymov S, Etzkorn FJ, Eversmann D, Gaisser M, et al. Phase Locking the Spin Precession in a Storage Ring. Physical Review Letters. 119: 014801. PMID 28731757 DOI: 10.1103/Physrevlett.119.014801  0.305
2016 Anastassopoulos V, Andrianov S, Baartman R, Baessler S, Bai M, Benante J, Berz M, Blaskiewicz M, Bowcock T, Brown K, Casey B, Conte M, Crnkovic JD, D'Imperio N, Fanourakis G, et al. A storage ring experiment to detect a proton electric dipole moment. The Review of Scientific Instruments. 87: 115116. PMID 27910557 DOI: 10.1063/1.4967465  0.534
2016 Guidoboni G, Stephenson E, Andrianov S, Augustyniak W, Bagdasarian Z, Bai M, Baylac M, Bernreuther W, Bertelli S, Berz M, Böker J, Böhme C, Bsaisou J, Chekmenev S, Chiladze D, et al. How to Reach a Thousand-Second in-Plane Polarization Lifetime with 0.97-GeV/c Deuterons in a Storage Ring. Physical Review Letters. 117: 054801. PMID 27517774 DOI: 10.1103/Physrevlett.117.054801  0.565
2015 Eversmann D, Hejny V, Hinder F, Kacharava A, Pretz J, Rathmann F, Rosenthal M, Trinkel F, Andrianov S, Augustyniak W, Bagdasarian Z, Bai M, Bernreuther W, Bertelli S, Berz M, et al. New Method for a Continuous Determination of the Spin Tune in Storage Rings and Implications for Precision Experiments. Physical Review Letters. 115: 094801. PMID 26371657 DOI: 10.1103/Physrevlett.115.094801  0.536
2015 Zhang H, Portman J, Tao Z, Duxbury P, Ruan C, Makino K, Berz M. The Differential Algebra Based Multiple Level Fast Multipole Algorithm for 3D Space Charge Field Calculation and Photoemission Simulation Microscopy and Microanalysis. 21: 224-229. DOI: 10.1017/S1431927615013410  0.547
2015 Makino K, Berz M. Dynamics in Electrostatic Repetitive Systems via High-Order Transfer Maps Microscopy and Microanalysis. 21: 36-43. DOI: 10.1017/S1431927615013100  0.554
2015 Loseth B, Berz M, Zhang H, Snopok P, Kunz J. Optics of Ionization Cooling Channels Under the Influence of Space Charge Microscopy and Microanalysis. 21: 20-23. DOI: 10.1017/S1431927615013070  0.655
2015 Jagasia R, Berz M, Loseth B. The Poincaré Section Method for Beam Element Transfer Maps Microscopy and Microanalysis. 21: 14-19. DOI: 10.1017/S1431927615013069  0.34
2015 Kunz J, Snopok P, Berz M, Makino K. Matter-Dominated Muon Accelerator Lattice Simulation Tools for COSY Infinity Microscopy and Microanalysis. 21: 8-13. DOI: 10.1017/S1431927615013057  0.515
2015 Berz M, Duxbury PM, Makino K, Ruan CY. Femtosecond Electron Imaging and Spectroscopy. Proceedings of the Conference on Femtosecond Electron Imaging and Spectroscopy, FEIS 2013, December 9-12, 2013, Key West, FL, USA Advances in Imaging and Electron Physics. DOI: 10.1016/Bs.Aiep.2015.03.012  0.529
2015 Wittig A, Di Lizia P, Armellin R, Makino K, Bernelli-Zazzera F, Berz M. Propagation of large uncertainty sets in orbital dynamics by automatic domain splitting Celestial Mechanics and Dynamical Astronomy. 122: 239-261. DOI: 10.1007/S10569-015-9618-3  0.791
2014 Portman J, Zhang H, Makino K, Ruan CY, Berz M, Duxbury PM. Untangling the contributions of image charge and laser profile for optimal photoemission of high-brightness electron beams Journal of Applied Physics. 116. DOI: 10.1063/1.4900582  0.554
2014 Di Lizia P, Armellin R, Bernelli-Zazzera F, Berz M. High order optimal control of space trajectories with uncertain boundary conditions Acta Astronautica. 93: 217-229. DOI: 10.1016/J.Actaastro.2013.07.007  0.361
2014 Kunz J, Snopok P, Berz M, Makino K. The development of stochastic processes in cosy infinity Ipac 2014: Proceedings of the 5th International Particle Accelerator Conference. 457-459.  0.715
2014 Loseth B, Berz M, Makino K, Zhang H, Snopok P. Space charge simulation in cosy using the fast multipole method Ipac 2014: Proceedings of the 5th International Particle Accelerator Conference. 460-462.  0.709
2013 Portman J, Zhang H, Tao Z, Makino K, Berz M, Duxbury PM, Ruan CY. Computational and experimental characterization of high-brightness beams for femtosecond electron imaging and spectroscopy Applied Physics Letters. 103. DOI: 10.1063/1.4855435  0.356
2012 Armellin R, Di Lizia P, Makino K, Berz M. Rigorous global optimization of impulsive planet-to-planet transfers in the patched-conics approximation Engineering Optimization. 44: 133-155. DOI: 10.1080/0305215X.2011.570757  0.553
2012 Tao Z, Zhang H, Duxbury PM, Berz M, Ruan CY. Space charge effects in ultrafast electron diffraction and imaging Journal of Applied Physics. 111. DOI: 10.1063/1.3685747  0.321
2011 Makino K, Berz M. Suppression Of The Wrapping Effect By Taylor Model- Based Verified Integrators: Long-Term Stabilization By Preconditioning International Journal of Differential Equations and Applications. 10. DOI: 10.12732/Ijdea.V10I4.178  0.534
2011 Makino K, Berz M, Johnstone C. High-order out-of-plane expansion for 3D fields International Journal of Modern Physics A. 26: 1807-1821. DOI: 10.1142/S0217751X11053201  0.605
2011 Johnstone C, Berz M, Makino K, Koscielniak S, Snopok P. Advances in nonlinear non-scaling FFAGs International Journal of Modern Physics A. 26: 1690-1712. DOI: 10.1142/S0217751X11053110  0.768
2011 Johnstone C, Berz M, Snopok P. International Journal of Modern Physics A: Preface International Journal of Modern Physics A. 26: v-vi. DOI: 10.1142/S0217751X11053079  0.641
2011 Berz M, Makino K. Advanced computational methods for nonlinear spin dynamics Journal of Physics: Conference Series. 295. DOI: 10.1088/1742-6596/295/1/012143  0.521
2011 Zhang H, Berz M. The fast multipole method in the differential algebra framework Nuclear Instruments and Methods in Physics Research, Section a: Accelerators, Spectrometers, Detectors and Associated Equipment. 645: 338-344. DOI: 10.1016/J.Nima.2011.01.053  0.416
2011 Berz M, Makino K. Optics and nonlinear effects in repetitive systems Nuclear Instruments and Methods in Physics Research, Section a: Accelerators, Spectrometers, Detectors and Associated Equipment. 645: 175-181. DOI: 10.1016/J.Nima.2010.12.205  0.606
2011 Makino K, Berz M. Optimal correction and design parameter search by modern methods of rigorous global optimization Nuclear Instruments and Methods in Physics Research, Section a: Accelerators, Spectrometers, Detectors and Associated Equipment. 645: 332-337. DOI: 10.1016/J.Nima.2010.12.185  0.591
2010 Wittig A, Berz M, Grote J, Makino K, Newhouse S. Rigorous and accurate enclosure of invariant manifolds on surfaces Regular and Chaotic Dynamics. 15: 107-126. DOI: 10.1134/S1560354710020024  0.782
2010 Johnstone C, Berz M, Makino K, Snopok P. Isochronous (CW) non-scaling FFAGs: Design and simulation Aip Conference Proceedings. 1299: 682-687. DOI: 10.1063/1.3520412  0.709
2010 Armellin R, Di Lizia P, Bernelli-Zazzera F, Berz M. Asteroid close encounters characterization using differential algebra: The case of Apophis Celestial Mechanics and Dynamical Astronomy. 107: 451-470. DOI: 10.1007/S10569-010-9283-5  0.357
2010 Armellin R, Di Lizia P, Berz M, Makino K. Computing the critical points of the distance function between two Keplerian orbits via rigorous global optimization Celestial Mechanics and Dynamical Astronomy. 107: 377-395. DOI: 10.1007/S10569-010-9281-7  0.573
2010 Johnstone C, Berz M, Makino K, Snopok P. Innovations in fixed-field accelerators: Design and simulation Cyclotrons 2010 - 19th International Conference On Cyclotrons and Their Applications. 389-394.  0.7
2009 Zhang H, Berz M. Effects of the wiggler on the Hefei light source storage ring International Journal of Modern Physics A. 24: 1057-1067. DOI: 10.1142/S0217751X09044504  0.357
2009 Wittig A, Berz M. Computation of high-order maps to multiple machine precision International Journal of Modern Physics A. 24: 1019-1039. DOI: 10.1142/S0217751X09044474  0.799
2009 Snopok P, Berz M, Johnstone C. Calculation of nonlinear tune shift using beam position measurement results International Journal of Modern Physics A. 24: 974-986. DOI: 10.1142/S0217751X09044437  0.709
2009 Manikonda S, Nolen J, Berz M, Makino K. Conceptual design of a superconducting quadrupole with elliptical acceptance and tunable higher order multipoles International Journal of Modern Physics A. 24: 923-940. DOI: 10.1142/S0217751X09044395  0.787
2009 Makino K, Berz M, Snopok P, Johnstone C. High-order description of the dynamics in FFAGs and related accelerators International Journal of Modern Physics A. 24: 908-922. DOI: 10.1142/S0217751X09044383  0.741
2009 Lazzaro A, Cappuzzello F, Cunsolo A, Cavallaro M, Foti A, Orrigo SEA, Rodrigues MRD, Winfield JS, Berz M. Field reconstruction in large aperture quadrupole magnets Nuclear Instruments and Methods in Physics Research, Section a: Accelerators, Spectrometers, Detectors and Associated Equipment. 602: 494-500. DOI: 10.1016/J.Nima.2009.01.019  0.366
2009 Armellin R, Di Lizia P, Topputo F, Lavagna M, Bernelli-Zazzera F, Berz M. Gravity assist space pruning based on differential algebra Celestial Mechanics and Dynamical Astronomy. 106: 1-24. DOI: 10.1007/S10569-009-9235-0  0.331
2007 Winkler M, Achenbach B, Behr KH, Berz M, Boutin D, Brandau C, Emling H, Geissel H, Iwase H, Karagiannis C, Kelic A, Leibrock H, Litvinov Y, Manikonda S, Maruhn JA, et al. The status of the super-frs at FAIR European Physical Journal: Special Topics. 150: 263-264. DOI: 10.1140/Epjst/E2007-00318-1  0.763
2007 Snopok P, Berz M, Johnstone C. A new lattice design for a 1.5 TeV CoM Muon Collider consistent with the Tevatron tunnel Proceedings of the Ieee Particle Accelerator Conference. 3483-3485. DOI: 10.1109/PAC.2007.4440466  0.683
2007 Snopok P, Berz M, Johnstone C. Calculating the nonlinear tune shifts with amplitude using measured BPM data Proceedings of the Ieee Particle Accelerator Conference. 3889-3891. DOI: 10.1109/PAC.2007.4440027  0.677
2007 Grote J, Berz M, Makino K, Newhouse S. Taylor-model-based enclosure of invariant manifolds for planar diffeomorphisms and applications Pamm. 7: 1022907-1022908. DOI: 10.1002/Pamm.200700887  0.732
2006 Shamseddine K, Berz M. Generalized power series on a non-Archimedean field Indagationes Mathematicae. 17: 457-477. DOI: 10.1016/S0019-3577(06)80044-3  0.308
2006 Grote J, Berz M, Makino K. High-order representation of Poincaré maps Nuclear Instruments and Methods in Physics Research, Section a: Accelerators, Spectrometers, Detectors and Associated Equipment. 558: 106-111. DOI: 10.1016/J.Nima.2006.01.001  0.723
2006 Ovsyannikov D, Berz M, Makino K. Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment: Editorial Nuclear Instruments and Methods in Physics Research, Section a: Accelerators, Spectrometers, Detectors and Associated Equipment. 558. DOI: 10.1016/J.Nima.2005.11.163  0.523
2006 Makino K, Berz M. COSY INFINITY version 9 Nuclear Instruments and Methods in Physics Research, Section a: Accelerators, Spectrometers, Detectors and Associated Equipment. 558: 346-350. DOI: 10.1016/J.Nima.2005.11.109  0.531
2006 Snopok P, Johnstone C, Berz M, Ovsyannikov DA, Ovsyannikov AD. Study and optimal correction of a systematic skew quadrupole field in the Tevatron Nuclear Instruments and Methods in Physics Research, Section a: Accelerators, Spectrometers, Detectors and Associated Equipment. 558: 142-146. DOI: 10.1016/J.Nima.2005.11.083  0.7
2006 Manikonda S, Berz M. Multipole expansion solution of the Laplace equation using surface data Nuclear Instruments and Methods in Physics Research, Section a: Accelerators, Spectrometers, Detectors and Associated Equipment. 558: 175-183. DOI: 10.1016/J.Nima.2005.11.081  0.744
2006 Johnstone C, Berz M, Makino K. Staging acceleration and cooling in a neutrino factory Nuclear Instruments and Methods in Physics Research, Section a: Accelerators, Spectrometers, Detectors and Associated Equipment. 558: 282-291. DOI: 10.1016/J.Nima.2005.11.078  0.592
2006 Poklonskiy AA, Neuffer D, Johnstone CJ, Berz M, Makino K, Ovsyannikov DA, Ovsyannikov AD. Optimizing the adiabatic buncher and phase-energy rotator for neutrino factories Nuclear Instruments and Methods in Physics Research, Section a: Accelerators, Spectrometers, Detectors and Associated Equipment. 558: 135-141. DOI: 10.1016/J.Nima.2005.11.038  0.768
2006 Berz M, Makino K, Kim YK. Long-term stability of the Tevatron by verified global optimization Nuclear Instruments and Methods in Physics Research, Section a: Accelerators, Spectrometers, Detectors and Associated Equipment. 558: 1-10. DOI: 10.1016/J.Nima.2005.11.035  0.607
2006 Snopok P, Johnstone C, Berz M. Simulation and Optimization of the Tevatron Accelerator Lecture Notes in Computational Science and Engineering. 50: 199-209. DOI: 10.1007/3-540-28438-9_18  0.68
2006 Berz M, Makino K. Performance of Taylor model methods for validated integration of ODEs Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 3732: 65-74. DOI: 10.1007/11558958_8  0.545
2006 Snopok P, Johnstone C, Berz M. High-order effects and modeling of the Tevatron Epac 2006 - Contributions to the Proceedings. 577-579.  0.664
2005 Snopok P, Johnstone C, Berz M, Ovsyannikov DA, Ovsyannikov AD. Muon Collider interaction region simulation and optimization 2005 International Conference On Physics and Control, Physcon 2005, Proceedings. 2005: 278-281. DOI: 10.1109/PHYCON.2005.1513993  0.689
2005 Poklonskiy AA, Neuffer D, Berz M, Ovsyannikov DA, Ovsyannikov AD. Exploring the bunching section of the Neutrino Factory 2005 International Conference On Physics and Control, Physcon 2005, Proceedings. 2005: 272-277. DOI: 10.1109/PHYCON.2005.1513992  0.779
2005 Snopok P, Johnstone C, Berz M. Decoupling schemes for the tevatron in the presence of skew quadrupole fields Proceedings of the Ieee Particle Accelerator Conference. 2005: 1850-1852. DOI: 10.1109/PAC.2005.1590934  0.68
2005 Revol N, Makino K, Berz M. Taylor models and floating-point arithmetic: Proof that arithmetic operations are validated in COSY Journal of Logic and Algebraic Programming. 64: 135-154. DOI: 10.1016/J.Jlap.2004.07.008  0.538
2005 Berz M, Makino K. Institute of Physics Conference Series: Preface Institute of Physics Conference Series. 175.  0.424
2005 Chapin LM, Hoefkens J, Berz M. The COSY language independent architecture: Porting COSY source files Institute of Physics Conference Series. 175: 37-45.  0.7
2005 Manikonda S, Berz M, Makino K. High-order verified solutions of the 3D Laplace equation Wseas Transactions On Computers. 4: 1604-1610.  0.726
2004 Johnstone C, Berz M, Errede D, Makino K. Muon beam ionization cooling in a linear quadrupole channel Nuclear Instruments and Methods in Physics Research, Section a: Accelerators, Spectrometers, Detectors and Associated Equipment. 519: 472-482. DOI: 10.1016/J.Nima.2003.11.188  0.557
2004 Errede D, Makino K, Berz M, Johnstone CJ, Van Ginneken A. Stochastic processes in muon ionization cooling Nuclear Instruments and Methods in Physics Research, Section a: Accelerators, Spectrometers, Detectors and Associated Equipment. 519: 466-471. DOI: 10.1016/J.Nima.2003.11.187  0.557
2004 Makino K, Berz M, Johnstone CJ, Errede D. High-order map treatment of superimposed cavities, absorbers, and magnetic multipole and solenoid fields Nuclear Instruments and Methods in Physics Research, Section a: Accelerators, Spectrometers, Detectors and Associated Equipment. 519: 162-174. DOI: 10.1016/J.Nima.2003.11.133  0.617
2004 Berz M, Makino K. New approaches for the validation of transfer maps using remainder-enhanced differential algebra Nuclear Instruments and Methods in Physics Research, Section a: Accelerators, Spectrometers, Detectors and Associated Equipment. 519: 53-62. DOI: 10.1016/J.Nima.2003.11.120  0.637
2003 Alsharo'a MM, Ankenbrandt CM, Atac M, Autin BR, Balbekov VI, Barger VD, Benary O, Bennett JRJ, Berger MS, Berg JS, Berz M, Black EL, Blondel A, Bogacz SA, Bonesini M, et al. Recent progress in neutrino factory and muon collider research within the Muon Collaboration Physical Review Special Topics - Accelerators and Beams. 6: 22-73. DOI: 10.1103/Physrevstab.6.081001  0.556
2003 Hoefkens J, Berz M, Makino K. Controlling the wrapping effect in the solution of ODEs for asteroids Reliable Computing. 9: 21-41. DOI: 10.1023/A:1023009910949  0.798
2003 Hoefkens J, Berz M, Makino K. Computing validated solutions of implicit differential equations Advances in Computational Mathematics. 19: 231-253. DOI: 10.1023/A:1022858921155  0.794
2002 Shamseddine K, Berz M. Intermediate values and inverse functions on non-archimedean fields International Journal of Mathematics and Mathematical Sciences. 30: 165-176. DOI: 10.1155/S0161171202013030  0.302
2002 Geraci AA, Barlow TA, Portillo M, Nolen JA, Shepard KW, Makino K, Berz M. High-order maps with acceleration for optimization of electrostatic and radio-frequency ion-optical elements Review of Scientific Instruments. 73: 3174. DOI: 10.1063/1.1497499  0.617
2002 Hoefkens J, Berz M. Verification of invertibility of complicated functions over large domains Reliable Computing. 8: 67-82. DOI: 10.1023/A:1014789619479  0.77
2001 Erdélyi B, Berz M. Optimal symplectic approximation of Hamiltonian flows. Physical Review Letters. 87: 114302. PMID 11531528 DOI: 10.1103/Physrevlett.87.114302  0.664
2001 Berz M, Hoefkens J. Verified high-order inversion of functional dependencies and interval newton methods Reliable Computing. 7: 379-398. DOI: 10.1023/A:1011423909873  0.77
2001 Makino K, Berz M. Higher order verified inclusions of multidimensional systems by Taylor models Nonlinear Analysis, Theory, Methods and Applications. 47: 3503-3514. DOI: 10.1016/S0362-546X(01)00467-9  0.584
2001 Berz M, Makino K, Hoefkens J. Verified integration of dynamics in the solar system Nonlinear Analysis, Theory, Methods and Applications. 47: 179-190. DOI: 10.1016/S0362-546X(01)00167-5  0.787
2001 Berz M, Erdélyi B, Makino K. Towards accurate simulation of fringe field effects Nuclear Instruments and Methods in Physics Research, Section a: Accelerators, Spectrometers, Detectors and Associated Equipment. 472: 533-540. DOI: 10.1016/S0168-9002(01)01304-3  0.728
2001 Makino K, Erdélyi B, Berz M. Magnet fringe fields, nonlinear effects, and compensation in large acceptance rings Proceedings of the Ieee Particle Accelerator Conference. 1: 451-455.  0.665
2000 Berz M, Erdélyi B, Makino K. Fringe field effects in small rings of large acceptance Physical Review Special Topics - Accelerators and Beams. 3: 63-73. DOI: 10.1103/Physrevstab.3.124001  0.745
2000 Makino K, Berz M, Hoefkens J, von Bergmann J. Verified Control of Near-Earth Asteroid Orbits Ifac Proceedings Volumes. 33: 237-242. DOI: 10.1016/S1474-6670(17)39635-0  0.786
2000 Hoefkens J, Berz M. Differential Algebraic Methods in Feedforward Control Theory 1 1Supported by the US Department of Energy, Grant DEFG02-95ER40931. Ifac Proceedings Volumes. 33: 143-148. DOI: 10.1016/S1474-6670(17)39618-0  0.77
2000 Berz M, Makino K. Constructive generation and verification of Lyapunov functions around fixed points of nonlinear dynamical systems System and Control: Theory and Applications. 19-26.  0.502
1999 Makino K, Berz M. Efficient Control of the Dependency Problem Based on Taylor Model Methods Reliable Computing. 5: 3-12. DOI: 10.1023/A:1026485406803  0.562
1999 Berz M, Makino K. New Methods for High-Dimensional Verified Quadrature Reliable Computing. 5: 13-22. DOI: 10.1023/A:1026437523641  0.598
1999 Berz M, Hawkes PW. Modern map methods in particle beam physics Advances in Imaging and Electron Physics. 108: 1-318. DOI: 10.1016/S1076-5670(08)70227-1  0.369
1999 Makino K, Berz M. COSY INFINITY version 8 Nuclear Instruments and Methods in Physics Research, Section a: Accelerators, Spectrometers, Detectors and Associated Equipment. 427: 338-343. DOI: 10.1016/S0168-9002(98)01554-X  0.58
1999 Berz M, Erdélyi B, Wan W, Ng KY. Differential algebraic determination of high-order off-energy closed orbits, chromaticities, and momentum compactions Nuclear Instruments and Methods in Physics Research, Section a: Accelerators, Spectrometers, Detectors and Associated Equipment. 427: 310-314. DOI: 10.1016/S0168-9002(98)01538-1  0.703
1999 Degenhardt R, Berz M. High-accuracy field description of particle spectrographs Nuclear Instruments and Methods in Physics Research, Section a: Accelerators, Spectrometers, Detectors and Associated Equipment. 427: 151-156. DOI: 10.1016/S0168-9002(98)01536-8  0.386
1999 Wan W, Johnstone C, Holt J, Berz M, Makino K, Lindemann M, Erdélyi B. Influence of fringe fields on particle dynamics in the large hadron collider Nuclear Instruments and Methods in Physics Research, Section a: Accelerators, Spectrometers, Detectors and Associated Equipment. 427: 74-78. DOI: 10.1016/S0168-9002(98)01521-6  0.758
1999 Wan W, Berz M. Design of a fifth-order achromat Nuclear Instruments and Methods in Physics Research, Section a: Accelerators, Spectrometers, Detectors and Associated Equipment. 423: 1-6. DOI: 10.1016/S0168-9002(98)01211-X  0.342
1998 Berz M, Makino K. Verified Integration of ODEs and Flows Using Differential Algebraic Methods on High-Order Taylor Models Reliable Computing. 10: 361-369. DOI: 10.1023/A:1024467732637  0.601
1998 Berz M, Hoffstätter G. Computation and Application of Taylor Polynomials with Interval Remainder Bounds Reliable Computing. 4: 83-97. DOI: 10.1023/A:1009958918582  0.399
1996 Hoffstätter GH, Berz M. Symplectic scaling of transfer maps including fringe fields. Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 54: 5664-5672. PMID 9965754 DOI: 10.1103/Physreve.54.5664  0.431
1996 Wan W, Berz M. Analytical theory of arbitrary-order achromats. Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 54: 2870-2883. PMID 9965404 DOI: 10.1103/Physreve.54.2870  0.303
1995 Wan W, Berz M. Beamlines without midplane symmetry for neutron and proton cancer therapy Nuclear Inst. and Methods in Physics Research, A. 363: 142-144. DOI: 10.1016/0168-9002(95)00368-1  0.357
1995 Hoffstätter GH, Berz M. Accurate and fast computation of high order fringe-field maps via symplectic scaling Nuclear Inst. and Methods in Physics Research, A. 363: 124-127. DOI: 10.1016/0168-9002(95)00366-5  0.421
1995 Berz M. Modern map methods for charged particle optics Nuclear Inst. and Methods in Physics Research, A. 363: 100-104. DOI: 10.1016/0168-9002(95)00361-4  0.451
1995 Ozaki I, Kimura F, Berz M. Higher-order sensitivity analysis of finite element method by automatic differentiation Computational Mechanics. 16: 223-234. DOI: 10.1007/Bf00369867  0.374
1993 Berz M, Joh K, Nolen JA, Sherrill BM, Zeller AF. Reconstructive correction of aberrations in nuclear particle spectrographs. Physical Review C: Nuclear Physics. 47: 537-544. PMID 9968469 DOI: 10.1103/Physrevc.47.537  0.37
1991 Kim KJ, Berz M, Chattopadhyay S, Edighoffer J, Gough R, Kim C, Kung AH, Stein W, Xie M. Design overview of a highly stable infrared free electron laser at LBL Nuclear Inst. and Methods in Physics Research, A. 304: 233-237. DOI: 10.1016/0168-9002(91)90858-N  0.325
1991 Berz M, Fawley WM, Hahn K. High order calculation of the multipole content of three dimensional electrostatic geometries Nuclear Inst. and Methods in Physics Research, A. 307: 1-6. DOI: 10.1016/0168-9002(91)90125-A  0.394
1990 Berz M. COSY INFINITY reference manual Lawrence Berkeley National Laboratory. DOI: 10.2172/6660243  0.378
1990 Hartmann B, Berz M, Wollnik H. The computation of aberrations of fringing fields of magnetic multipoles and sector magnets using differential algebra Nuclear Inst. and Methods in Physics Research, A. 297: 343-353. DOI: 10.1016/0168-9002(90)91317-5  0.6
1990 Berz M. Computational aspects of optics design and simulation: COSY INFINITY Nuclear Inst. and Methods in Physics Research, A. 298: 473-479. DOI: 10.1016/0168-9002(90)90649-Q  0.368
1990 Berz M. Arbitrary order description of arbitrary particle optical systems Nuclear Inst. and Methods in Physics Research, A. 298: 426-440. DOI: 10.1016/0168-9002(90)90646-N  0.41
1989 Forest E, Berz M. Canonical integration and analysis of periodic maps using non-standard analysis and Lie methods Lawrence Berkeley National Laboratory. 47-66. DOI: 10.1007/Bfb0012744  0.343
1988 Berz M. Differential Algebraic Description and Analysis of Trajectories in Vacuum Electronic Devices Including Space-Charge Effects Ieee Transactions On Electron Devices. 35: 2002-2009. DOI: 10.1109/16.7419  0.408
1988 Wollnik H, Berz M. Image aberrations for beams filling elliptical phase-space areas or volumes Nuclear Inst. and Methods in Physics Research, A. 263: 280-282. DOI: 10.1016/0168-9002(88)90962-X  0.566
1988 Berz M, Wollnik H. Simulation of intense particle beams with regularly distributed Gaussian subbeams Nuclear Inst. and Methods in Physics Research, A. 267: 25-34. DOI: 10.1016/0168-9002(88)90626-2  0.557
1987 Berz M. The method of power series tracking for the mathematical description of beam dynamics Nuclear Inst. and Methods in Physics Research, A. 258: 431-436. DOI: 10.1016/0168-9002(87)90927-2  0.404
1987 Wollnik H, Brezina J, Berz M. GIOS-BEAMTRACE - A program package to determine optical properties of intense ion beams Nuclear Inst. and Methods in Physics Research, A. 258: 408-411. DOI: 10.1016/0168-9002(87)90922-3  0.583
1987 Berz M, Hoffmann HC, Wollnik H. COSY 5.0 - The fifth order code for corpuscular optical systems Nuclear Inst. and Methods in Physics Research, A. 258: 402-406. DOI: 10.1016/0168-9002(87)90920-X  0.562
1987 Berz M, Wollnik H. The program HAMILTON for the analytic solution of the equations of motion through fifth order Nuclear Inst. and Methods in Physics Research, A. 258: 364-373. DOI: 10.1016/0168-9002(87)90918-1  0.562
1985 Wollnik H, Berz M. Relations between elements of transfer matrices due to the condition of symplecticity Nuclear Inst. and Methods in Physics Research, A. 238: 127-140. DOI: 10.1016/0168-9002(85)91037-X  0.559
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