@article{AartsAndersonAndersonetal.2015, author = {Aarts, Alexander A. and Anderson, Joanna E. and Anderson, Christopher J. and Attridge, Peter R. and Attwood, Angela and Axt, Jordan and Babel, Molly and Bahnik, Stepan and Baranski, Erica and Barnett-Cowan, Michael and Bartmess, Elizabeth and Beer, Jennifer and Bell, Raoul and Bentley, Heather and Beyan, Leah and Binion, Grace and Borsboom, Denny and Bosch, Annick and Bosco, Frank A. and Bowman, Sara D. and Brandt, Mark J. and Braswell, Erin and Brohmer, Hilmar and Brown, Benjamin T. and Brown, Kristina and Bruening, Jovita and Calhoun-Sauls, Ann and Callahan, Shannon P. and Chagnon, Elizabeth and Chandler, Jesse and Chartier, Christopher R. and Cheung, Felix and Christopherson, Cody D. and Cillessen, Linda and Clay, Russ and Cleary, Hayley and Cloud, Mark D. and Cohn, Michael and Cohoon, Johanna and Columbus, Simon and Cordes, Andreas and Costantini, Giulio and Alvarez, Leslie D. Cramblet and Cremata, Ed and Crusius, Jan and DeCoster, Jamie and DeGaetano, Michelle A. and Della Penna, Nicolas and den Bezemer, Bobby and Deserno, Marie K. and Devitt, Olivia and Dewitte, Laura and Dobolyi, David G. and Dodson, Geneva T. and Donnellan, M. Brent and Donohue, Ryan and Dore, Rebecca A. and Dorrough, Angela and Dreber, Anna and Dugas, Michelle and Dunn, Elizabeth W. and Easey, Kayleigh and Eboigbe, Sylvia and Eggleston, Casey and Embley, Jo and Epskamp, Sacha and Errington, Timothy M. and Estel, Vivien and Farach, Frank J. and Feather, Jenelle and Fedor, Anna and Fernandez-Castilla, Belen and Fiedler, Susann and Field, James G. and Fitneva, Stanka A. and Flagan, Taru and Forest, Amanda L. and Forsell, Eskil and Foster, Joshua D. and Frank, Michael C. and Frazier, Rebecca S. and Fuchs, Heather and Gable, Philip and Galak, Jeff and Galliani, Elisa Maria and Gampa, Anup and Garcia, Sara and Gazarian, Douglas and Gilbert, Elizabeth and Giner-Sorolla, Roger and Gl{\"o}ckner, Andreas and G{\"o}llner, Lars and Goh, Jin X. and Goldberg, Rebecca and Goodbourn, Patrick T. and Gordon-McKeon, Shauna and Gorges, Bryan and Gorges, Jessie and Goss, Justin and Graham, Jesse and Grange, James A. and Gray, Jeremy and Hartgerink, Chris and Hartshorne, Joshua and Hasselman, Fred and Hayes, Timothy and Heikensten, Emma and Henninger, Felix and Hodsoll, John and Holubar, Taylor and Hoogendoorn, Gea and Humphries, Denise J. and Hung, Cathy O. -Y. and Immelman, Nathali and Irsik, Vanessa C. and Jahn, Georg and Jaekel, Frank and Jekel, Marc and Johannesson, Magnus and Johnson, Larissa G. and Johnson, David J. and Johnson, Kate M. and Johnston, William J. and Jonas, Kai and Joy-Gaba, Jennifer A. and Kappes, Heather Barry and Kelso, Kim and Kidwell, Mallory C. and Kim, Seung Kyung and Kirkhart, Matthew and Kleinberg, Bennett and Knezevic, Goran and Kolorz, Franziska Maria and Kossakowski, Jolanda J. and Krause, Robert Wilhelm and Krijnen, Job and Kuhlmann, Tim and Kunkels, Yoram K. and Kyc, Megan M. and Lai, Calvin K. and Laique, Aamir and Lakens, Daniel and Lane, Kristin A. and Lassetter, Bethany and Lazarevic, Ljiljana B. and LeBel, Etienne P. and Lee, Key Jung and Lee, Minha and Lemm, Kristi and Levitan, Carmel A. and Lewis, Melissa and Lin, Lin and Lin, Stephanie and Lippold, Matthias and Loureiro, Darren and Luteijn, Ilse and Mackinnon, Sean and Mainard, Heather N. and Marigold, Denise C. and Martin, Daniel P. and Martinez, Tylar and Masicampo, E. J. and Matacotta, Josh and Mathur, Maya and May, Michael and Mechin, Nicole and Mehta, Pranjal and Meixner, Johannes and Melinger, Alissa and Miller, Jeremy K. and Miller, Mallorie and Moore, Katherine and M{\"o}schl, Marcus and Motyl, Matt and M{\"u}ller, Stephanie M. and Munafo, Marcus and Neijenhuijs, Koen I. and Nervi, Taylor and Nicolas, Gandalf and Nilsonne, Gustav and Nosek, Brian A. and Nuijten, Michele B. and Olsson, Catherine and Osborne, Colleen and Ostkamp, Lutz and Pavel, Misha and Penton-Voak, Ian S. and Perna, Olivia and Pernet, Cyril and Perugini, Marco and Pipitone, R. Nathan and Pitts, Michael and Plessow, Franziska and Prenoveau, Jason M. and Rahal, Rima-Maria and Ratliff, Kate A. and Reinhard, David and Renkewitz, Frank and Ricker, Ashley A. and Rigney, Anastasia and Rivers, Andrew M. and Roebke, Mark and Rutchick, Abraham M. and Ryan, Robert S. and Sahin, Onur and Saide, Anondah and Sandstrom, Gillian M. and Santos, David and Saxe, Rebecca and Schlegelmilch, Rene and Schmidt, Kathleen and Scholz, Sabine and Seibel, Larissa and Selterman, Dylan Faulkner and Shaki, Samuel and Simpson, William B. and Sinclair, H. Colleen and Skorinko, Jeanine L. M. and Slowik, Agnieszka and Snyder, Joel S. and Soderberg, Courtney and Sonnleitner, Carina and Spencer, Nick and Spies, Jeffrey R. and Steegen, Sara and Stieger, Stefan and Strohminger, Nina and Sullivan, Gavin B. and Talhelm, Thomas and Tapia, Megan and te Dorsthorst, Anniek and Thomae, Manuela and Thomas, Sarah L. and Tio, Pia and Traets, Frits and Tsang, Steve and Tuerlinckx, Francis and Turchan, Paul and Valasek, Milan and Van Aert, Robbie and van Assen, Marcel and van Bork, Riet and van de Ven, Mathijs and van den Bergh, Don and van der Hulst, Marije and van Dooren, Roel and van Doorn, Johnny and van Renswoude, Daan R. and van Rijn, Hedderik and Vanpaemel, Wolf and Echeverria, Alejandro Vasquez and Vazquez, Melissa and Velez, Natalia and Vermue, Marieke and Verschoor, Mark and Vianello, Michelangelo and Voracek, Martin and Vuu, Gina and Wagenmakers, Eric-Jan and Weerdmeester, Joanneke and Welsh, Ashlee and Westgate, Erin C. and Wissink, Joeri and Wood, Michael and Woods, Andy and Wright, Emily and Wu, Sining and Zeelenberg, Marcel and Zuni, Kellylynn}, title = {Estimating the reproducibility of psychological science}, series = {Science}, volume = {349}, journal = {Science}, number = {6251}, publisher = {American Assoc. for the Advancement of Science}, address = {Washington}, organization = {Open Sci Collaboration}, issn = {1095-9203}, doi = {10.1126/science.aac4716}, pages = {8}, year = {2015}, abstract = {Reproducibility is a defining feature of science, but the extent to which it characterizes current research is unknown. We conducted replications of 100 experimental and correlational studies published in three psychology journals using high-powered designs and original materials when available. Replication effects were half the magnitude of original effects, representing a substantial decline. Ninety-seven percent of original studies had statistically significant results. Thirty-six percent of replications had statistically significant results; 47\% of original effect sizes were in the 95\% confidence interval of the replication effect size; 39\% of effects were subjectively rated to have replicated the original result; and if no bias in original results is assumed, combining original and replication results left 68\% with statistically significant effects. Correlational tests suggest that replication success was better predicted by the strength of original evidence than by characteristics of the original and replication teams.}, language = {en} } @misc{AndersonBahnikBarnettCowanetal.2016, author = {Anderson, Christopher J. and Bahnik, Stepan and Barnett-Cowan, Michael and Bosco, Frank A. and Chandler, Jesse and Chartier, Christopher R. and Cheung, Felix and Christopherson, Cody D. and Cordes, Andreas and Cremata, Edward J. and Della Penna, Nicolas and Estel, Vivien and Fedor, Anna and Fitneva, Stanka A. and Frank, Michael C. and Grange, James A. and Hartshorne, Joshua K. and Hasselman, Fred and Henninger, Felix and van der Hulst, Marije and Jonas, Kai J. and Lai, Calvin K. and Levitan, Carmel A. and Miller, Jeremy K. and Moore, Katherine S. and Meixner, Johannes M. and Munafo, Marcus R. and Neijenhuijs, Koen I. and Nilsonne, Gustav and Nosek, Brian A. and Plessow, Franziska and Prenoveau, Jason M. and Ricker, Ashley A. and Schmidt, Kathleen and Spies, Jeffrey R. and Stieger, Stefan and Strohminger, Nina and Sullivan, Gavin B. and van Aert, Robbie C. M. and van Assen, Marcel A. L. M. and Vanpaemel, Wolf and Vianello, Michelangelo and Voracek, Martin and Zuni, Kellylynn}, title = {Response to Comment on "Estimating the reproducibility of psychological science"}, series = {Science}, volume = {351}, journal = {Science}, publisher = {American Assoc. for the Advancement of Science}, address = {Washington}, issn = {0036-8075}, doi = {10.1126/science.aad9163}, pages = {1162 -- 1165}, year = {2016}, abstract = {Gilbert et al. conclude that evidence from the Open Science Collaboration's Reproducibility Project: Psychology indicates high reproducibility, given the study methodology. Their very optimistic assessment is limited by statistical misconceptions and by causal inferences from selectively interpreted, correlational data. Using the Reproducibility Project: Psychology data, both optimistic and pessimistic conclusions about reproducibility are possible, and neither are yet warranted.}, language = {en} } @article{FrankMooreReich2006, author = {Frank, Jason and Moore, Brian E. and Reich, Sebastian}, title = {Linear PDEs and numerical methods that preserve a multisymplectic conservation law}, issn = {1064-8275}, doi = {10.1137/050628271}, year = {2006}, abstract = {Multisymplectic methods have recently been proposed as a generalization of symplectic ODE methods to the case of Hamiltonian PDEs. Their excellent long time behavior for a variety of Hamiltonian wave equations has been demonstrated in a number of numerical studies. A theoretical investigation and justification of multisymplectic methods is still largely missing. In this paper, we study linear multisymplectic PDEs and their discretization by means of numerical dispersion relations. It is found that multisymplectic methods in the sense of Bridges and Reich [Phys. Lett. A, 284 ( 2001), pp. 184-193] and Reich [J. Comput. Phys., 157 (2000), pp. 473-499], such as Gauss-Legendre Runge-Kutta methods, possess a number of desirable properties such as nonexistence of spurious roots and conservation of the sign of the group velocity. A certain CFL-type restriction on Delta t/Delta x might be required for methods higher than second order in time. It is also demonstrated by means of the explicit midpoint method that multistep methods may exhibit spurious roots in the numerical dispersion relation for any value of Delta t/Delta x despite being multisymplectic in the sense of discrete variational mechanics [J. E. Marsden, G. P. Patrick, and S. Shkoller, Commun. Math. Phys., 199 (1999), pp. 351-395]}, language = {en} } @article{ShinReichFrank2012, author = {Shin, Seoleun and Reich, Sebastian and Frank, Jason}, title = {Hydrostatic Hamiltonian particle-mesh (HPM) methods for atmospheric modelling}, series = {Quarterly journal of the Royal Meteorological Society}, volume = {138}, journal = {Quarterly journal of the Royal Meteorological Society}, number = {666}, publisher = {Wiley-Blackwell}, address = {Hoboken}, issn = {0035-9009}, doi = {10.1002/qj.982}, pages = {1388 -- 1399}, year = {2012}, abstract = {We develop a hydrostatic Hamiltonian particle-mesh (HPM) method for efficient long-term numerical integration of the atmosphere. In the HPM method, the hydrostatic approximation is interpreted as a holonomic constraint for the vertical position of particles. This can be viewed as defining a set of vertically buoyant horizontal meshes, with the altitude of each mesh point determined so as to satisfy the hydrostatic balance condition and with particles modelling horizontal advection between the moving meshes. We implement the method in a vertical-slice model and evaluate its performance for the simulation of idealized linear and nonlinear orographic flow in both dry and moist environments. The HPM method is able to capture the basic features of the gravity wave to a degree of accuracy comparable with that reported in the literature. The numerical solution in the moist experiment indicates that the influence of moisture on wave characteristics is represented reasonably well and the reduction of momentum flux is in good agreement with theoretical analysis.}, language = {en} }