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Number of items: 70.

Brown, Malcolm

, Dohnal, Tomáš, Plum, Michael and Wood, Ian 2024. Spectrum of the Maxwell equations for a flat interface between homogeneous dispersive media. Communications in Mathematical Physics 406 (1) , 3. 10.1007/s00220-024-05154-9

Brown, B. Malcolm

, Schmidt, Karl Michael

, Shipman, Stephen P. and Wood, Ian 2021. The inverse problem for a spectral asymmetry function of the Schrödinger operator on a finite interval. Mathematika 67 (4) , pp. 788-806. 10.1112/mtk.12105

Brown, B. M.

, Evans, W. D. and Wood, I. G. 2021. Non-negative extensions of Hamiltonian systems. Fritz Gesztesy and Andrei Martinez-Finkelshtein, eds. From Operator Theory to Orthogonal Polynomials, Combinatorics, and Number Theory, Operator Theory: Advances and Applications, Springer, pp. 15-39. (10.1007/978-3-030-75425-9_2)

Brown, B. M.

, Hoang, V., Plum, M., Radosz, M. and Wood, I. 2020. Gap localization of multiple TE‐Modes by arbitrarily weak defects. Journal of the London Mathematical Society 102 (2) , pp. 773-795. 10.1112/jlms.12337

Brown, B. Malcolm

, Marletta, Marco

, Naboko, Serguei and Wood, Ian 2020. The functional model for maximal dissipative operators (translation form): an approach in the spirit of operator knots. Transactions of the American Mathematical Society 373 , pp. 4145-4187. 10.1090/tran/8029

Bennewitz, Christer, Brown, Malcolm

and Weikard, Rudi 2020. Spectral and scattering theory for ordinary differential equations: Vol. I: Sturm–Liouville equations. Springer International Publishing.

Brown, B Malcolm

, Klaus, Martin, Malamud, Mark, Mogilevskii, Vadim and Wood, Ian 2019. Weyl solutions and j-selfadjointness for Dirac operators. Journal of Mathematical Analysis and Applications 480 (2) , 123344. 10.1016/j.jmaa.2019.07.034

Brown, Brian M.

, Marletta, Marco

, Naboko, Sergey and Wood, Ian 2019. The detectable subspace for the Friedrichs model. Integral Equations and Operator Theory 91 , 49. 10.1007/s00020-019-2548-9

Brown, Brian

, Evans, W D. and Wood, I G. 2019. Positive self-adjoint operator extensions with applications to differential operators. Integral Equations and Operator Theory 91 , 41. 10.1007/s00020-019-2540-4

Walker, David W.

, Kramer, Stephan C., Biebl, Fabian R. A., Ledger, Paul D. and Brown, Malcolm

2019. Accelerating magnetic induction tomography-based imaging through heterogeneous parallel computing. Concurrency and Computation: Practice and Experience 31 (17) , e5265. 10.1002/cpe.5265

Alberti, Giovanni S., Brown, Malcolm

, Marletta, Marco

and Wood, Ian 2019. Essential spectrum for Maxwell's equations. Annales Henri Poincaré 20 , pp. 1471-1499. 10.1007/s00023-019-00762-x

Brown, Brian Malcolm

, Langer, Heinz and Tretter, Christiane 2019. Compressed resolvents and reduction of spectral problems on star graphs. Complex Analysis and Operator Theory 13 (1) , pp. 291-320. 10.1007/s11785-018-0793-6

Brown, B. M.

, Hoang, V., Plum, M., Radosz, M. and Wood, I. 2017. Gap localization of TE-Modes by arbitrarily weak defects. Journal of the London Mathematical Society 95 (3) , pp. 942-962. 10.1112/jlms.12046

Brown, Brian Malcolm

, Marletta, Marco

, Wood, I. and Naboko, S. 2017. Inverse problems for boundary triples with applications. Studia Mathematica 237 (3) , pp. 241-275. 10.4064/sm8613-11-2016

Brown, Malcolm

, Marletta, Marco

and Symons, Freddy 2016. Uniqueness from discrete data in an inverse spectral problem for a pencil of ordinary differential operators. Journal of the London Mathematical Society 94 (3) , pp. 793-813. 10.1112/jlms/jdw059

Brown, Brian Malcolm

, Marletta, Marco

, Naboko, S. N. and Wood, I. G. 2016. Detectable subspaces and inverse problems for Hain-Lüst-type operators. Mathematische Nachrichten 289 (17-18) , pp. 2108-2132. 10.1002/mana.201500231
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Bennewitz, C., Brown, B. M.

and Weikard, R. 2016. The spectral problem for the dispersionless Camassa-Holm equation. Presented at: International Workshop on Operator Theory and Applications, Amsterdam, The Netherlands, 14-18 July 2014. Published in: Eisner, Tanja, Jacob, Birgit, Ran, Andre and Zwart, Hans eds. Operator Theory, Function Spaces, and Applications: International Workshop on Operator Theory and Applications, Amsterdam, July 2014. Operator Theory: Advances and Applications. Operator Theory: Advances and Applications Springer, pp. 67-90. 10.1007/978-3-319-31383-2_4

Brown, Brian Malcolm

and Evans, William Desmond 2016. Selfadjoint and m sectorial extensions of Sturm-Liouville operators. Integral Equations and Operator Theory 85 (2) , pp. 151-166. 10.1007/s00020-016-2296-z

Brown, B. M.

, Marletta, M.

and Reyes Gonzales, J. M. 2016. Uniqueness for an inverse problem in electromagnetism with partial data. Journal of Differential Equations 260 (8) , pp. 6525-6547. 10.1016/j.jde.2016.01.002

Brown, B. M.

, Hoang, V., Plum, M. and Wood, I. 2015. On the spectrum of waveguides in planar photonic bandgap structures. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 471 (2176) , 20140673. 10.1098/rspa.2014.0673

Brown, B. M.

, Hoang, V., Plum, M. and Wood, I. 2014. Spectrum created by line defects in periodic structures. Mathematical News / Mathematische Nachrichten 287 (17-18) , pp. 1972-1985. 10.1002/mana.201300165

Boegli, Sabine, Brown, B. Malcolm

, Marletta, Marco

, Tretter, Christiane, Tretter, Christine and Wagenhoffer, Markus 2014. Guaranteed resonance enclosures and exclosures for atoms and molecules. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 470 (2171) , 20140488. 10.1098/rspa.2014.0488

Brown, Brian Malcolm

, Langer, Heinz and Langer, Matthias 2013. Bessel-type operators with an inner singularity. Integral Equations and Operator Theory 75 (2) , pp. 257-300. 10.1007/s00020-012-2023-3

Brown, Brian Malcolm

, Eastham, Michael S. P. and Schmidt, Karl Michael

2013. Periodic differential operators. Operator Theory: Advances and Applications, vol. 230. Basel: Birkhäuser.

Brown, Brian Malcolm

and Schmidt, Karl Michael

2012. On the HELP Inequality for Hill Operators on Trees. Brown, Brian Malcolm, Lang, Jan and Wood, Ian G., eds. Spectral Theory, Function Spaces and Inequalities: New Techniques and Recent Trends, Operator Theory: Advances and Applications, vol. 219. Basel: Springer, pp. 21-36. (10.1007/978-3-0348-0263-5_2)

Bennewitz, C., Brown, Brian Malcolm

and Weikard, R. 2012. Scattering and inverse scattering for a left-definite Sturm–Liouville problem. Journal of Differential Equations 253 (8) , pp. 2380-2419. 10.1016/j.jde.2012.06.016

Brown, Brian Malcolm

and Jais, Mathias 2011. A variational approach to an electromagnetic inverse problem. Inverse Problems 27 (4) , 045011. 10.1088/0266-5611/27/4/045011

Hiscox, Aaron Joseph, Brown, Brian Malcolm

and Marletta, Marco

2010. On the low energy behavior of Regge poles. Journal of Mathematical Physics 51 (10) , 102104. 10.1063/1.3496811

Brown, Brian Malcolm

, Langer, Matthias, Marletta, Marco

, Tretter, Christine and Wagenhofer, Markus 2010. Eigenvalue enclosures and exclosures for non-self-adjoint problems in hydrodynamics. LMS Journal of Computation and Mathematics 13 , pp. 65-81. 10.1112/S1461157008000466

Brown, Brian Malcolm

, Christiansen, Jacob S. and Schmidt, Karl Michael

2009. Spectral properties of a q-Sturm–Liouville Operator. Communications in Mathematical Physics 287 (1) , pp. 259-274. 10.1007/s00220-008-0623-1

Brown, Brian Malcolm

, Eastham, M. S. P. and Wood, I . G. 2009. Conditions for the spectrum associated with an asymptotically straight leaky wire to comprise the interval (−∞, ∞). Journal of Physics A: Mathematical and Theoretical 42 (5) , 055207. 10.1088/1751-8113/42/5/055207

Brown, Brian Malcolm

, Hoang, Vu, Plum, Michael and Wood, Ian G. 2009. On spectral bounds for photonic crystal waveguides. International Series of Numerical Mathematics 157 , pp. 23-30. 10.1007/978-3-7643-8773-0_3

Bennewitz, C., Brown, Brian Malcolm

and Weikard, R. 2009. Inverse Spectral and Scattering Theory for the Half-Line Left-Definite Sturm-Liouville Problem. SIAM Journal on Mathematical Analysis 40 (5) , pp. 2105-2131. 10.1137/080724575

Brown, Brian Malcolm

, Hinchcliffe, James, Marletta, Marco, Naboko, Serguei and Wood, Ian 2009. The abstract Titchmarsh-Weyl M-function for adjoint operator pairs and its relation to the spectrum. Integral Equations and Operator Theory 63 (3) , pp. 297-320. 10.1007/s00020-009-1668-z

Brown, Brian Malcolm

, Grubb, G. and Wood, I. G. 2009. M-functions for closed extensions of adjoint pairs of operators with applications to elliptic boundary problems. Mathematische Nachrichten 282 (3) , pp. 314-347. 10.1002/mana.200810740

Brown, Brian Malcolm

, Eastham, M. S. P. and Wood, I. G. 2009. Estimates for the lowest eigenvalue of a star graph. Journal of Mathematical Analysis and Applications 354 (1) , pp. 24-30. 10.1016/j.jmaa.2008.12.014

Hiscox, Aaron Joseph, Brown, Brian Malcolm

and Marletta, M. 2009. Analysis of Regge poles for the Schrodinger equation. Proceedings of The Royal Society. A. Mathematical Physical and Engineering Sciences 465 (2109) , pp. 2813-2823. 10.1098/rspa.2009.0091

Brown, Brian Malcolm

, Naboko, Serguei and Weikard, Rudi 2009. The Inverse Resonance Problem for Hermite Operators. Constructive Approximation 30 (2) , pp. 155-174. 10.1007/s00365-008-9037-8

Brown, Brian Malcolm

, Marletta, Marco

, Naboko, Serguei and Wood, Ian 2008. Boundary triplets and M-functions for non-selfadjoint operators, with applications to elliptic PDEs and block operator matrices. Journal of the London Mathematical Society 77 (3) , pp. 700-718. 10.1112/jlms/jdn006

Brown, Brian Malcolm

, Langer, M. and Schmidt, Karl Michael

2008. The HELP inequality on trees. Presented at: Isaac Newton Institute for Mathematical Sciences, Cambridge, UK, 8 January - 29 June 2007. Published in: Exner, P., Keating, J. P., Kuchment, P. A., Sunada, T. and Teplyaev, A. eds. Analysis on Graphs and Its Applications. Proceedings of Symposia in Pure Mathematics (77) Providence, RI: American Mathematical Society, pp. 337-354.

Aumann, S., Brown, Brian Malcolm

and Schmidt, Karl Michael

2008. A Hardy-Littlewood-type inequality for the p-Laplacian. Bulletin of the London Mathematical Society 40 (3) , pp. 525-531. 10.1112/blms/bdn035

Brown, Brian Malcolm

, Eastham, M. S. P. and Wood, I. G. 2008. An example on the discrete spectrum of a star graph. Presented at: Isaac Newton Institute for Mathematical Sciences, Cambridge, UK, 8 January - 29 June 2007. Published in: Exner, P., Keating, J. P., Kuchment, P., Sunada, T. and Teplyaev, A. eds. Analysis on graphs and its applications. Proceedings of Symposia in Pure Mathematics (77) Providence, RI: American Mathematical Society, pp. 331-335.

Brown, Brian Malcolm

, Eastham, M. S. P. and Wood, I. G. 2008. Conditions for the spectrum associated with an asymptotically straight leaky wire to contain an interval [− α2/4, ∞). Archiv der Mathematik 90 (6) , pp. 554-558. 10.1007/s00013-008-2612-1

Brown, Brian Malcolm

and Eastham, M. S. P. 2008. Titchmarsh's asymptotic formula for periodic eigenvalues and an extension to the p-Laplacian. Journal of Mathematical Analysis and Applications 338 (2) , pp. 1255-1266. 10.1016/j.jmaa.2007.06.017

Brown, Brian Malcolm

and Eastham, M. S. P. 2007. Eigenvalues of the radial p-Laplacian with a potential on (0,∞). Journal of Computational and Applied Mathematics 208 (1) , pp. 111-119. 10.1016/j.cam.2006.10.046

Brown, Brian Malcolm

, Lang, J. and Lewis, R.T. 2007. Preface. Journal of computational and applied mathematics 208 (1) , pp. 1-2. 10.1016/j.cam.2006.10.089

Brown, Brian Malcolm

and Eastham, M.S.P. 2007. Bounds for the positive eigenvalues of the p-Laplacian with decaying potential. Journal of Mathematical Analysis and Applications 325 (1) , pp. 734-744. 10.1016/j.jmaa.2006.01.058

Brown, Brian Malcolm

and Evans, William Desmond 2006. Foreword. Journal of Computational and Applied Mathematics 194 (1) , p. 1. 10.1016/j.cam.2005.06.032

Brown, Brian Malcolm

and Eastham, M .S .P. 2006. Extensions of the Kummer evaluation of a finite hypergeometric series. Journal of computational and applied mathematics 194 (1) , pp. 131-140. 10.1016/j.cam.2005.06.018

Brown, Brian Malcolm

, Jais, M. and Kalmbach, B. M. 2006. A variational approach to inverse problems for anisotropic systems. Presented at: UAB International Conference on Differential Equations and Mathematical Physics, Birmingham, AL, USA, 29 March - 2 April 2005. Published in: Chernov, Nikolai, Karpeshina, Yulia, Knowles, Ian W., Lewis, Roger T. and Weikard, Rudi eds. Recent Advances in Differential Equations and Mathematical Physics. Contemporary Mathematics (412) Providence, RI: American Mathematical Society, pp. 87-102.

Brown, Brian Malcolm

and Eastham, M. S. P. 2006. A note on the Dixon formula for a finite hypergeometric series. Korean Journal of Computational and Applied Mathematics 194 (1) , pp. 173-175. 10.1016/j.cam.2005.06.021

Brown, Brian Malcolm

and Weikard, Rudi 2005. A Borg-Levinson theorem for trees. Proceedings of The Royal Society A Mathematical physical and engineering sciences 461 (2062) , pp. 3231-3243. 10.1098/rspa.2005.1513

Brown, Brian Malcolm

and Christiansen, Jacob S. 2005. On the Krein and Friedrichs extensions of a positive Jacobi operator. Expositiones Mathematicae 23 (2) , pp. 179-186. 10.1016/j.exmath.2005.01.020

Brown, Brian Malcolm

, Naboko, S. and Weikard, R. 2005. The inverse resonance problem for Jacobi operators. Bulletin of the London Mathematical Society 37 (05) , pp. 727-737. 10.1112/S0024609305004674

Brown, Brian Malcolm

, Jais, Mathias and Knowles, I. W. 2005. A variational approach to an elastic inverse problem. Inverse Problems 21 (6) , pp. 1953-1973. 10.1088/0266-5611/21/6/010

Brown, Brian Malcom

and Evans, William Desmond 2004. Preface [Editorial]. Journal of Computational and Applied Mathematics 171 (1-2) , ix. 10.1016/j.cam.2004.01.004

Brown, Brian Malcolm

and Reichel, W. 2004. Eigenvalues of the radially symmetric p-Laplacian in Rn. Journal of the London Mathematical Society 69 (3) , pp. 657-675. 10.1112/S002461070300512X

Brown, Brian Malcolm

and Marletta, Marco

2004. Spectral inclusion and spectral exactness for PDEs on exterior domains. IMA Journal of Numerical Analysis 24 (1) , pp. 21-43. 10.1093/imanum/24.1.21

Brown, Brian Malcolm

, Eastham, Michael S. P., Hinz, Andreas M. and Schmidt, Karl Michael

2004. Distribution of eigenvalues in gaps of the essential spectrum of Sturm-Liouville operators - a numerical approach. Journal Of Computational Analysis And Applications 6 (1) , pp. 85-95.

Brown, Brian Malcolm

and Eastham, M. S. P. 2004. Extended Hurwitz results for hypergeometric functions arising in spectral theory. Journal of Computational and Applied Mathematics 171 (1-2) , pp. 113-121. 10.1016/j.cam.2004.01.006

Brown, Brian Malcolm

and Weikard, R. 2004. The inverse resonance problem for perturbations of algebro-geometric potentials. Inverse Problems 20 (2) , pp. 481-494. 10.1088/0266-5611/20/2/011

Brown, Brian Malcolm

, Eastham, M. S. P. and Evans, William Desmond 2004. Laudatum. Journal of computational and applied mathematics 171 (1-2) , xi-xiii. 10.1016/j.cam.2004.01.034

Brown, Brian Malcolm

, Knowles, I. and Weikard, Rudi 2003. On the inverse resonance problem. Journal of the London Mathematical Society 68 (2) , pp. 383-401. 10.1112/S0024610703004654

Brown, Brian Malcolm

, Evans, William Desmond and Plum, Michael 2003. Titchmarsh-Sims-Weyl theory for complex Hamiltonian systems. Proceedings of the London Mathematical Society 87 (2) , pp. 419-450. 10.1112/S0024611503014096

Brown, Brian Malcolm

and Marletta, Marco

2001. Spectral inclusion and spectral exactness for singular non-self-adjoint Sturm-Liouville problems. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 457 (2005) , pp. 117-139. 10.1098/rspa.2000.0659

Brown, Brian Malcolm

, Jimack, P. K. and Mihajlović, M D. 2001. An efficient direct solver for a class of mixed finite element problems. Applied Numerical Mathematics 38 (1-2) , pp. 1-20. 10.1016/S0168-9274(00)00048-9

Brown, Brian Malcolm

, Davies, E. B., Jimack, P. K. and Mihajlovic, M. D. 2000. A numerical investigation of the solution of a class of fourth-order eigenvalue problems. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 456 (1998) , pp. 1505-1521. 10.1098/rspa.2000.0573

Brown, Brian Malcolm

and Kirby, V. G. 2000. A computational investigation of an integro-differential inequality with periodic potential. Journal of Inequalities and Applications 5 (4) , pp. 321-342. 10.1155/S1025583400000163

Brown, Brian Malcolm

, Eastham, M. S. P., Hinz, A. M., Kriecherbauer, Thomas, McCormack, Daniel K. R. and Schmidt, Karl Michael

1998. Welsh Eigenvalues of radially periodic Schrödinger operators. Journal of Mathematical Analysis and Applications 225 (1) , pp. 347-357. 10.1006/jmaa.1998.6048

Beynon, Malcolm James

, Brown, Brian Malcolm

and Evans, William Desmond 1993. On an Inequality of the Kolmogorov Type for a Second-Order Differential Expression. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 442 (1916) , pp. 555-569. 10.1098/rspa.1993.0121

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