11 results
The NASA B737-100 high-lift flight research programme — measurements and computations
- L. P. Yip, C. P. van Dam, J. H. Whitehead, J. D. Hardin, S. J. Miley, R. C. Potter, A. Bertelrud, D. C. Edge, P.E. Willard
-
- Journal:
- The Aeronautical Journal / Volume 99 / Issue 989 / November 1995
- Published online by Cambridge University Press:
- 04 July 2016, pp. 372-386
-
- Article
- Export citation
-
The aerodynamic performance of a multi-element high-lift system has a critical influence on the direct operating cost of a subsonic civil transport aircraft. A thorough understanding of the aerodynamic characteristics of these multi-element aerofoils and wings allows aircraft companies to design and build more competitive aircraft with high-lift systems that are less complex and lighter for given high-lift performance or that have improved lift and drag characteristics for given system complexity and weight. Flight experiments on NASA Langley's B737-100 aircraft have been conducted to further enhance the understanding of the complex flows about multi-element high-lift systems at full-scale flight conditions. In this paper, an overview of the flight program is provided, followed by highlights of experimental results and computational analysis. Measurements included surface pressures on the slats, main element and flap elements using flush pressure ports and pressure belts, surface shear stresses using Preston tubes, off-surface velocity distributions using boundary layer/wake rakes, aeroelastic deformations of the flap elements using an optical positioning system, and boundary layer transition detection using hot-film anemometers and an infrared imaging system. Boundary layer transition measurements on the slat using hot-film sensors are correlated with the flow visualisation results from an infrared imaging technique. Extensive application of several computational techniques and comparisons with flight measurements are shown for a limited number of cases. This program has generated an extensive set of data, much of which are still being analysed.
Contributors
-
- By Mitchell Aboulafia, Frederick Adams, Marilyn McCord Adams, Robert M. Adams, Laird Addis, James W. Allard, David Allison, William P. Alston, Karl Ameriks, C. Anthony Anderson, David Leech Anderson, Lanier Anderson, Roger Ariew, David Armstrong, Denis G. Arnold, E. J. Ashworth, Margaret Atherton, Robin Attfield, Bruce Aune, Edward Wilson Averill, Jody Azzouni, Kent Bach, Andrew Bailey, Lynne Rudder Baker, Thomas R. Baldwin, Jon Barwise, George Bealer, William Bechtel, Lawrence C. Becker, Mark A. Bedau, Ernst Behler, José A. Benardete, Ermanno Bencivenga, Jan Berg, Michael Bergmann, Robert L. Bernasconi, Sven Bernecker, Bernard Berofsky, Rod Bertolet, Charles J. Beyer, Christian Beyer, Joseph Bien, Joseph Bien, Peg Birmingham, Ivan Boh, James Bohman, Daniel Bonevac, Laurence BonJour, William J. Bouwsma, Raymond D. Bradley, Myles Brand, Richard B. Brandt, Michael E. Bratman, Stephen E. Braude, Daniel Breazeale, Angela Breitenbach, Jason Bridges, David O. Brink, Gordon G. Brittan, Justin Broackes, Dan W. Brock, Aaron Bronfman, Jeffrey E. Brower, Bartosz Brozek, Anthony Brueckner, Jeffrey Bub, Lara Buchak, Otavio Bueno, Ann E. Bumpus, Robert W. Burch, John Burgess, Arthur W. Burks, Panayot Butchvarov, Robert E. Butts, Marina Bykova, Patrick Byrne, David Carr, Noël Carroll, Edward S. Casey, Victor Caston, Victor Caston, Albert Casullo, Robert L. Causey, Alan K. L. Chan, Ruth Chang, Deen K. Chatterjee, Andrew Chignell, Roderick M. Chisholm, Kelly J. Clark, E. J. Coffman, Robin Collins, Brian P. Copenhaver, John Corcoran, John Cottingham, Roger Crisp, Frederick J. Crosson, Antonio S. Cua, Phillip D. Cummins, Martin Curd, Adam Cureton, Andrew Cutrofello, Stephen Darwall, Paul Sheldon Davies, Wayne A. Davis, Timothy Joseph Day, Claudio de Almeida, Mario De Caro, Mario De Caro, John Deigh, C. F. Delaney, Daniel C. Dennett, Michael R. DePaul, Michael Detlefsen, Daniel Trent Devereux, Philip E. Devine, John M. Dillon, Martin C. Dillon, Robert DiSalle, Mary Domski, Alan Donagan, Paul Draper, Fred Dretske, Mircea Dumitru, Wilhelm Dupré, Gerald Dworkin, John Earman, Ellery Eells, Catherine Z. Elgin, Berent Enç, Ronald P. Endicott, Edward Erwin, John Etchemendy, C. Stephen Evans, Susan L. Feagin, Solomon Feferman, Richard Feldman, Arthur Fine, Maurice A. Finocchiaro, William FitzPatrick, Richard E. Flathman, Gvozden Flego, Richard Foley, Graeme Forbes, Rainer Forst, Malcolm R. Forster, Daniel Fouke, Patrick Francken, Samuel Freeman, Elizabeth Fricker, Miranda Fricker, Michael Friedman, Michael Fuerstein, Richard A. Fumerton, Alan Gabbey, Pieranna Garavaso, Daniel Garber, Jorge L. A. Garcia, Robert K. Garcia, Don Garrett, Philip Gasper, Gerald Gaus, Berys Gaut, Bernard Gert, Roger F. Gibson, Cody Gilmore, Carl Ginet, Alan H. Goldman, Alvin I. Goldman, Alfonso Gömez-Lobo, Lenn E. Goodman, Robert M. Gordon, Stefan Gosepath, Jorge J. E. Gracia, Daniel W. Graham, George A. Graham, Peter J. Graham, Richard E. Grandy, I. Grattan-Guinness, John Greco, Philip T. Grier, Nicholas Griffin, Nicholas Griffin, David A. Griffiths, Paul J. Griffiths, Stephen R. Grimm, Charles L. Griswold, Charles B. Guignon, Pete A. Y. Gunter, Dimitri Gutas, Gary Gutting, Paul Guyer, Kwame Gyekye, Oscar A. Haac, Raul Hakli, Raul Hakli, Michael Hallett, Edward C. Halper, Jean Hampton, R. James Hankinson, K. R. Hanley, Russell Hardin, Robert M. Harnish, William Harper, David Harrah, Kevin Hart, Ali Hasan, William Hasker, John Haugeland, Roger Hausheer, William Heald, Peter Heath, Richard Heck, John F. Heil, Vincent F. Hendricks, Stephen Hetherington, Francis Heylighen, Kathleen Marie Higgins, Risto Hilpinen, Harold T. Hodes, Joshua Hoffman, Alan Holland, Robert L. Holmes, Richard Holton, Brad W. Hooker, Terence E. Horgan, Tamara Horowitz, Paul Horwich, Vittorio Hösle, Paul Hoβfeld, Daniel Howard-Snyder, Frances Howard-Snyder, Anne Hudson, Deal W. Hudson, Carl A. Huffman, David L. Hull, Patricia Huntington, Thomas Hurka, Paul Hurley, Rosalind Hursthouse, Guillermo Hurtado, Ronald E. Hustwit, Sarah Hutton, Jonathan Jenkins Ichikawa, Harry A. Ide, David Ingram, Philip J. Ivanhoe, Alfred L. Ivry, Frank Jackson, Dale Jacquette, Joseph Jedwab, Richard Jeffrey, David Alan Johnson, Edward Johnson, Mark D. Jordan, Richard Joyce, Hwa Yol Jung, Robert Hillary Kane, Tomis Kapitan, Jacquelyn Ann K. Kegley, James A. Keller, Ralph Kennedy, Sergei Khoruzhii, Jaegwon Kim, Yersu Kim, Nathan L. King, Patricia Kitcher, Peter D. Klein, E. D. Klemke, Virginia Klenk, George L. Kline, Christian Klotz, Simo Knuuttila, Joseph J. Kockelmans, Konstantin Kolenda, Sebastian Tomasz Kołodziejczyk, Isaac Kramnick, Richard Kraut, Fred Kroon, Manfred Kuehn, Steven T. Kuhn, Henry E. Kyburg, John Lachs, Jennifer Lackey, Stephen E. Lahey, Andrea Lavazza, Thomas H. Leahey, Joo Heung Lee, Keith Lehrer, Dorothy Leland, Noah M. Lemos, Ernest LePore, Sarah-Jane Leslie, Isaac Levi, Andrew Levine, Alan E. Lewis, Daniel E. Little, Shu-hsien Liu, Shu-hsien Liu, Alan K. L. Chan, Brian Loar, Lawrence B. Lombard, John Longeway, Dominic McIver Lopes, Michael J. Loux, E. J. Lowe, Steven Luper, Eugene C. Luschei, William G. Lycan, David Lyons, David Macarthur, Danielle Macbeth, Scott MacDonald, Jacob L. Mackey, Louis H. Mackey, Penelope Mackie, Edward H. Madden, Penelope Maddy, G. B. Madison, Bernd Magnus, Pekka Mäkelä, Rudolf A. Makkreel, David Manley, William E. Mann (W.E.M.), Vladimir Marchenkov, Peter Markie, Jean-Pierre Marquis, Ausonio Marras, Mike W. Martin, A. P. Martinich, William L. McBride, David McCabe, Storrs McCall, Hugh J. McCann, Robert N. McCauley, John J. McDermott, Sarah McGrath, Ralph McInerny, Daniel J. McKaughan, Thomas McKay, Michael McKinsey, Brian P. McLaughlin, Ernan McMullin, Anthonie Meijers, Jack W. Meiland, William Jason Melanson, Alfred R. Mele, Joseph R. Mendola, Christopher Menzel, Michael J. Meyer, Christian B. Miller, David W. Miller, Peter Millican, Robert N. Minor, Phillip Mitsis, James A. Montmarquet, Michael S. Moore, Tim Moore, Benjamin Morison, Donald R. Morrison, Stephen J. Morse, Paul K. Moser, Alexander P. D. Mourelatos, Ian Mueller, James Bernard Murphy, Mark C. Murphy, Steven Nadler, Jan Narveson, Alan Nelson, Jerome Neu, Samuel Newlands, Kai Nielsen, Ilkka Niiniluoto, Carlos G. Noreña, Calvin G. Normore, David Fate Norton, Nikolaj Nottelmann, Donald Nute, David S. Oderberg, Steve Odin, Michael O’Rourke, Willard G. Oxtoby, Heinz Paetzold, George S. Pappas, Anthony J. Parel, Lydia Patton, R. P. Peerenboom, Francis Jeffry Pelletier, Adriaan T. Peperzak, Derk Pereboom, Jaroslav Peregrin, Glen Pettigrove, Philip Pettit, Edmund L. Pincoffs, Andrew Pinsent, Robert B. Pippin, Alvin Plantinga, Louis P. Pojman, Richard H. Popkin, John F. Post, Carl J. Posy, William J. Prior, Richard Purtill, Michael Quante, Philip L. Quinn, Philip L. Quinn, Elizabeth S. Radcliffe, Diana Raffman, Gerard Raulet, Stephen L. Read, Andrews Reath, Andrew Reisner, Nicholas Rescher, Henry S. Richardson, Robert C. Richardson, Thomas Ricketts, Wayne D. Riggs, Mark Roberts, Robert C. Roberts, Luke Robinson, Alexander Rosenberg, Gary Rosenkranz, Bernice Glatzer Rosenthal, Adina L. Roskies, William L. Rowe, T. M. Rudavsky, Michael Ruse, Bruce Russell, Lilly-Marlene Russow, Dan Ryder, R. M. Sainsbury, Joseph Salerno, Nathan Salmon, Wesley C. Salmon, Constantine Sandis, David H. Sanford, Marco Santambrogio, David Sapire, Ruth A. Saunders, Geoffrey Sayre-McCord, Charles Sayward, James P. Scanlan, Richard Schacht, Tamar Schapiro, Frederick F. Schmitt, Jerome B. Schneewind, Calvin O. Schrag, Alan D. Schrift, George F. Schumm, Jean-Loup Seban, David N. Sedley, Kenneth Seeskin, Krister Segerberg, Charlene Haddock Seigfried, Dennis M. Senchuk, James F. Sennett, William Lad Sessions, Stewart Shapiro, Tommie Shelby, Donald W. Sherburne, Christopher Shields, Roger A. Shiner, Sydney Shoemaker, Robert K. Shope, Kwong-loi Shun, Wilfried Sieg, A. John Simmons, Robert L. Simon, Marcus G. Singer, Georgette Sinkler, Walter Sinnott-Armstrong, Matti T. Sintonen, Lawrence Sklar, Brian Skyrms, Robert C. Sleigh, Michael Anthony Slote, Hans Sluga, Barry Smith, Michael Smith, Robin Smith, Robert Sokolowski, Robert C. Solomon, Marta Soniewicka, Philip Soper, Ernest Sosa, Nicholas Southwood, Paul Vincent Spade, T. L. S. Sprigge, Eric O. Springsted, George J. Stack, Rebecca Stangl, Jason Stanley, Florian Steinberger, Sören Stenlund, Christopher Stephens, James P. Sterba, Josef Stern, Matthias Steup, M. A. Stewart, Leopold Stubenberg, Edith Dudley Sulla, Frederick Suppe, Jere Paul Surber, David George Sussman, Sigrún Svavarsdóttir, Zeno G. Swijtink, Richard Swinburne, Charles C. Taliaferro, Robert B. Talisse, John Tasioulas, Paul Teller, Larry S. Temkin, Mark Textor, H. S. Thayer, Peter Thielke, Alan Thomas, Amie L. Thomasson, Katherine Thomson-Jones, Joshua C. Thurow, Vzalerie Tiberius, Terrence N. Tice, Paul Tidman, Mark C. Timmons, William Tolhurst, James E. Tomberlin, Rosemarie Tong, Lawrence Torcello, Kelly Trogdon, J. D. Trout, Robert E. Tully, Raimo Tuomela, John Turri, Martin M. Tweedale, Thomas Uebel, Jennifer Uleman, James Van Cleve, Harry van der Linden, Peter van Inwagen, Bryan W. Van Norden, René van Woudenberg, Donald Phillip Verene, Samantha Vice, Thomas Vinci, Donald Wayne Viney, Barbara Von Eckardt, Peter B. M. Vranas, Steven J. Wagner, William J. Wainwright, Paul E. Walker, Robert E. Wall, Craig Walton, Douglas Walton, Eric Watkins, Richard A. Watson, Michael V. Wedin, Rudolph H. Weingartner, Paul Weirich, Paul J. Weithman, Carl Wellman, Howard Wettstein, Samuel C. Wheeler, Stephen A. White, Jennifer Whiting, Edward R. Wierenga, Michael Williams, Fred Wilson, W. Kent Wilson, Kenneth P. Winkler, John F. Wippel, Jan Woleński, Allan B. Wolter, Nicholas P. Wolterstorff, Rega Wood, W. Jay Wood, Paul Woodruff, Alison Wylie, Gideon Yaffe, Takashi Yagisawa, Yutaka Yamamoto, Keith E. Yandell, Xiaomei Yang, Dean Zimmerman, Günter Zoller, Catherine Zuckert, Michael Zuckert, Jack A. Zupko (J.A.Z.)
- Edited by Robert Audi, University of Notre Dame, Indiana
-
- Book:
- The Cambridge Dictionary of Philosophy
- Published online:
- 05 August 2015
- Print publication:
- 27 April 2015, pp ix-xxx
-
- Chapter
- Export citation
Contributors
-
- By Syed S. Ali, Nathan Allen, John E. Arbo, Elizabeth Arrington, Ani Aydin, Kenneth R. L. Bernard, Amy Caggiula, Nolan Caldwell, Jennifer L. Carey, Jennifer Carnell, Jayaram Chelluri, Michael N. Cocchi, Cristal Cristia, Vishal Demla, Bram Dolcourt, Andrew Eyre, Shawn Fagan, Brandy Ferguson, Sarah Fisher, Jonathan Friedstat, Brian C. Geyer, Brandon Godbout, Jeremy Gonda, Jeremy Goverman, Ashley L. Greiner, Casey Grover, Carla Haack, Abigail Hankin, John W. Hardin, Katrina L. Harper, Gregory Hayward, Stephen Hendriksen, Daniel Herbert-Cohen, Nadine Himelfarb, Calvin E. Hwang, Jacob D. Isserman, Joshua Jauregui, Joshua W. Joseph, Elena Kapilevich, Feras H. Khan, Sarvotham Kini, Karen A. Kinnaman, Ruth Lamm, Calvin Lee, Jarone Lee, Charles Lei, John Lemos, Daniel J. Lepp, Elisabeth Lessenich, Brandon Maughan, Julie Mayglothling, Kevin McConnell, Laura Medford-Davis, Kamal Medlej, Heather Meissen, Payal Modi, Joel Moll, Jolene H. Nakao, Matthew Nicholls, Lindsay Oelze, Carolyn Maher Overman, Viral Patel, Timothy C. Peck, Jeffrey Pepin, Candace Pettigrew, Byron Pitts, Zubaid Rafique, Chanu Rhee, Jonathan C. Roberts, Daniel Rolston, Steven C. Rougas, Benjamin Schnapp, Kathryn A. Seal, Raghu Seethala, Todd A. Seigel, Navdeep Sekhon, Kaushal Shah, Robert L. Sherwin, Kirill Shishlov, Ashley Shreves, Sebastian Siadecki, Jeffrey N. Siegelman, Liza Gonen Smith, Ted Stettner, Marie Carmelle Tabuteau, Joseph E. Tonna, N. Seth Trueger, Chad Van Ginkel, Bina Vasantharam, Graham Walker, Susan Wilcox, Sandra J. Williams, Matthew L. Wong, Nelson Wong, Samantha Wood, John Woodruff, Benjamin Zabar
- Edited by Kaushal Shah, Jarone Lee, Kamal Medlej, American University of Beirut, Scott D. Weingart
-
- Book:
- Practical Emergency Resuscitation and Critical Care
- Published online:
- 05 November 2013
- Print publication:
- 24 October 2013, pp xi-xx
-
- Chapter
- Export citation
Contributors
-
- By Paul Brady, Kevin L. Cope, David Erdos, Denis J. Galligan, Tom Ginsburg, Benedikt Goderis, Russell Hardin, Binesh Hass, Ran Hirschl, Jeff King, Phoebe King, David S. Law, Clark B. Lombardi, Pedro C. Magalhães, Anne Meuwese, Christina E. Parau, Charles O. H. Parkinson, Miguel Schor, Adam Shinar, Daniel Smilov, Brian Z. Tamanaha, Mila Versteeg, Neil Walker
- Edited by Denis J. Galligan, University of Oxford, Mila Versteeg, University of Virginia
-
- Book:
- Social and Political Foundations of Constitutions
- Published online:
- 05 September 2013
- Print publication:
- 14 October 2013, pp xvii-xviii
-
- Chapter
- Export citation
An Efficient Approach to Obtaining Large Numbers of Distant Supernova Host Galaxy Redshifts
- C. Lidman, V. Ruhlmann-Kleider, M. Sullivan, J. Myzska, P. Dobbie, K. Glazebrook, J. Mould, P. Astier, C. Balland, M. Betoule, R. Carlberg, A. Conley, D. Fouchez, J. Guy, D. Hardin, I. Hook, D. A. Howell, R. Pain, N. Palanque-Delabrouille, K. Perrett, C. Pritchet, N. Regnault, J. Rich
-
- Journal:
- Publications of the Astronomical Society of Australia / Volume 30 / 2013
- Published online by Cambridge University Press:
- 18 January 2013, e001
-
- Article
-
- You have access Access
- HTML
- Export citation
-
We use the wide-field capabilities of the 2 degree field fibre positioner and the AAOmega spectrograph on the Anglo-Australian Telescope (AAT) to obtain redshifts of galaxies that hosted supernovae during the first 3 years of the Supernova Legacy Survey (SNLS). With exposure times ranging from 10 to 60 ks per galaxy, we were able to obtain redshifts for 400 host galaxies in two SNLS fields, thereby substantially increasing the total number of SNLS supernovae with host galaxy redshifts. The median redshift of the galaxies in our sample that hosted photometrically classified Type Ia supernovae (SNe Ia) is z ~ 0.77, which is 25% higher than the median redshift of spectroscopically confirmed SNe Ia in the 3-year sample of the SNLS. Our results demonstrate that one can use wide-field fibre-fed multi-object spectrographs on 4-m telescopes to efficiently obtain redshifts for large numbers of supernova host galaxies over the large areas of the sky that will be covered by future high-redshift supernova surveys, such as the Dark Energy Survey.
Contributors
-
- By James M. Bjork, Hilary P. Blumberg, Nathalie Boddaert, Susan Bookheimer, Silvia A. Bunge, Beata Buzas, B. J. Casey, Nadia Chabane, Eveline A. Crone, Mirella Dapretto, John A. Detre, Vaibhav A. Diwadkar, Jeffery N. Epstein, Monique Ernst, Guido K. W. Frank, David C. Glahn, David Goldman, Daniel A. Gorman, Ian H. Gotlib, Michael G. Hardin, Clinton D. Hermes, Rebecca M. Jones, Jutta Joormann, Jessica H. Kalmar, Walter H. Kaye, Matcheri S. Keshavan, Dae-Shik Kim, Liat Levita, Lisa H. Lu, Rachel Marsh, Kristin McNealy, Kevin A. Pelphrey, Susan B. Perlman, Bradley S. Peterson, Daniel S. Pine, Steven R. Pliszka, Konasale Prasad, Hengyi Rao, Allan L. Reiss, Perry Renshaw, Susan M. Rivera, Jason Royal, Judith M. Rumsey, Maulik P. Shah, Marisa M. Silveri, Elizabeth R. Sowell, Jeffrey A. Stanley, Henning U. Voss, Jiong-Jiong Wang, Ke Xu, Deborah Yurgelun-Todd, Monica Zilbovicius
- Edited by Judith M. Rumsey, National Institute of Mental Health, Bethesda, Maryland, Monique Ernst, National Institute of Mental Health, Bethesda, Maryland
-
- Book:
- Neuroimaging in Developmental Clinical Neuroscience
- Published online:
- 04 August 2010
- Print publication:
- 19 February 2009, pp vii-xii
-
- Chapter
- Export citation
Excess Disability During Morning Care in Nursing Home Residents With Dementia
- Joan C. Rogers, Margo B. Holm, Louis D. Burgio, Chuanchieh Hsu, J. Michael Hardin, B. Joan Mcdowell
-
- Journal:
- International Psychogeriatrics / Volume 12 / Issue 2 / June 2000
- Published online by Cambridge University Press:
- 10 January 2005, pp. 267-282
-
- Article
- Export citation
-
Excess disability was examined in 17 nursing home residents with dementia by comparing their performance of morning care tasks under two activities of daily living (ADL) caregiving approaches—a dependence-supportive one under usual care and an independence-supportive one under functional rehabilitation. The results suggest that excess disability in severely cognitively impaired and functionally disabled residents can be reduced by increasing opportunities for independent activity, and substituting nondirective and directive verbal assists for physical assists. Further, the findings indicate that increased independence in ADL can be achieved without increasing disruptive behaviors and can foster appropriate requests for task-related help during caregiving. Functional rehabilitation, however, requires more time than usual care.
Further results on Kendall's autoregressive series
- Jay C. Hardin, Thomas J. Brown
-
- Journal:
- Journal of Applied Probability / Volume 12 / Issue 1 / March 1975
- Published online by Cambridge University Press:
- 14 July 2016, pp. 180-182
- Print publication:
- March 1975
-
- Article
- Export citation
-
Theoretical expressions for the cross correlation and cross spectra of the input and output variables in the difference equation Xt=aXt−1 + bXt−2+ Yt are derived. These expressions are compared with estimates of these expectations obtained by employing a Fast Fourier Transform technique on digitally generated series.
A note on Kendall's autoregressive series
- T. J. Brown, J. C. Hardin
-
- Journal:
- Journal of Applied Probability / Volume 10 / Issue 2 / June 1973
- Published online by Cambridge University Press:
- 14 July 2016, pp. 475-478
- Print publication:
- June 1973
-
- Article
- Export citation
-
Realizations of the autoregressive series considered by Kendall are generated using both Gaussian and uniformly distributed random variables. Estimates of the autocorrelation and power spectrum of the process obtained from these realizations are compared with the theoretical expressions derived by Bartlett. Agreement is well within the theoretical variance.
Solutions for some diffusion processes with two barriers
- A. L. Sweet, J. C. Hardin
-
- Journal:
- Journal of Applied Probability / Volume 7 / Issue 2 / August 1970
- Published online by Cambridge University Press:
- 14 July 2016, pp. 423-431
- Print publication:
- August 1970
-
- Article
- Export citation
-
Use is often made of the Wiener and Ornstein-Uhlenbeck (O.U.) processes in various applications of stochastic processes to problems of engineering interest. These applications frequently involve the presence of barriers. Although mathematical methods for solving Kolmogorov's forward equation for the above processes have previously been discussed ([1], [2]), many solutions for problems with two barriers do not seem to be available in the literature. Instead, one finds solutions for unrestricted processes or simulation used in place of analytical solutions in various applications ([3], [4], [5]). In this paper, solutions of Kolmogorov's forward equations in the presence of constant absorbing and/or reflecting barriers are obtained by means of separation of variables. This enables one to obtain expressions for the probability density functions for first passage times when absorbing barriers are present. The solution for the O.U. process is used to obtain a result of Breiman's [6] concerning first passage times.
Third Session, Thursday Afternoon at 4:30
- H. M. Belden, Hardin Craig, Robert J. Menner, R. S. Crane, Otto Müller, A. B. Faust, H. G. Doyle, James W. Bright., H. C. G. von Jagemann., Henry Alfred Todd
-
- Journal:
- PMLA / Publications of the Modern Language Association of America / Volume 39 / Issue S1 / December 1924
- Published online by Cambridge University Press:
- 26 February 2021, pp. xvi-xxvi
- Print publication:
- December 1924
-
- Article
- Export citation