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Plum, Michael

Co-Author Distance
Author ID: plum.michael Recent zbMATH articles by "Plum, Michael"
Published as: Plum, Michael; Plum, M.
External Links: MGP
Documents Indexed: 91 Publications since 1988, including 2 Books and 3 Additional arXiv Preprints
3 Contributions as Editor
Reviewing Activity: 159 Reviews
Co-Authors: 57 Co-Authors with 65 Joint Publications
1,243 Co-Co-Authors
all top 5

Co-Authors

27 single-authored
10 Brown, B. Malcolm
8 Hoang, Vu Phuong
8 McKenna, Patrick Joseph
7 Wieners, Christian
7 Wood, Ian Geoffrey
6 Reichel, Wolfgang
5 Dohnal, Tomáš
5 Nagatou, Kaori
5 Nakao, Mitsuhiro T.
4 Breuer, B.
4 Khrabustovskyi, Andrii
4 Pacella, Filomena
4 Watanabe, Yoshitaka
3 Brown, Malcolm W.
3 Evans, William Desmond
3 Lahmann, Jan-Rainer
3 Pelinovsky, Dmitry Efimovich
2 Bandle, Catherine
2 Behnke, Henning
2 Everitt, William Norrie
2 Gilányi, Attila
2 Hipp, Christian
2 Losonczi, László
2 Markus, Lawrence
2 Radosz, Maria
2 Rockstuhl, Carsten
2 Roth, Dagmar
1 Alefeld, Götz E.
1 Bartsch, Thomas J.
1 Behrndt, Jussi
1 Brown, Richard Clark
1 Contreras, Andres A.
1 Davies, Edward Brian
1 Dorfler, Willy
1 Eastham, Michael S. P.
1 Fazekas, Borbála
1 Goffi, Fatima Z.
1 Göhlen, Michael
1 Kashiwagi, Masahide
1 Kirby, V. G.
1 Lechleiter, Armin
1 Liao, Xian
1 Mertins, Ulrich
1 Mnasri, Karim
1 Muzzulini, M.
1 Oishi, Shin’ichi
1 Páles, Zsolt
1 Redheffer, Raymond M.
1 Rütters, Dagmar
1 Schneider, Guido
1 Schröder, Johann
1 Sekine, Kouta
1 Stohrer, Christian
1 Takeuchi, Airi
1 Tanaka, Kazuaki
1 Venkitakrishnan, Ramakrishna
1 Wunderlich, Jonathan
all top 5

Serials

8 Journal of Differential Equations
7 Journal of Mathematical Analysis and Applications
4 SIAM Journal on Mathematical Analysis
4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
3 Computing
2 Journal of Computational and Applied Mathematics
2 Journal of the London Mathematical Society. Second Series
2 Mathematische Nachrichten
2 ISNM. International Series of Numerical Mathematics
2 Journal of Elliptic and Parabolic Equations
1 Communications in Mathematical Physics
1 IMA Journal of Numerical Analysis
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Physics Letters. A
1 Acta Cybernetica
1 International Journal of Game Theory
1 Numerical Functional Analysis and Optimization
1 Numerische Mathematik
1 Proceedings of the American Mathematical Society
1 Proceedings of the London Mathematical Society. Third Series
1 Results in Mathematics
1 SIAM Journal on Numerical Analysis
1 Transactions of the American Mathematical Society
1 Insurance Mathematics & Economics
1 Asymptotic Analysis
1 Japan Journal of Industrial and Applied Mathematics
1 Linear Algebra and its Applications
1 NoDEA. Nonlinear Differential Equations and Applications
1 Interval Computations
1 Finance and Stochastics
1 Communications in Contemporary Mathematics
1 Computational Methods in Applied Mathematics
1 Oberwolfach Reports
1 Springer Series in Computational Mathematics
1 Oberwolfach Seminars
1 Advances in Nonlinear Analysis
1 Proceedings A. Royal Society of London
all top 5

Fields

54 Partial differential equations (35-XX)
42 Numerical analysis (65-XX)
25 Ordinary differential equations (34-XX)
17 Operator theory (47-XX)
11 Optics, electromagnetic theory (78-XX)
7 Dynamical systems and ergodic theory (37-XX)
6 Computer science (68-XX)
4 Mechanics of deformable solids (74-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 General and overarching topics; collections (00-XX)
3 Real functions (26-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Fluid mechanics (76-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Quantum theory (81-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Operations research, mathematical programming (90-XX)
1 History and biography (01-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Difference and functional equations (39-XX)
1 Functional analysis (46-XX)
1 Probability theory and stochastic processes (60-XX)
1 Statistics (62-XX)
1 Systems theory; control (93-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

72 Publications have been cited 1,124 times in 737 Documents Cited by ▼ Year ▼
Optimal investment for insurers. Zbl 1007.91025
Hipp, Christian; Plum, Michael
166
2000
Explicit \(H_ 2\)-estimates and pointwise bounds for solutions of second- order elliptic boundary value problems. Zbl 0780.35028
Plum, Michael
60
1992
Multiple solutions for a semilinear boundary value problem: a computational multiplicity proof. Zbl 1156.35359
Breuer, B.; McKenna, P. J.; Plum, M.
58
2003
Optimal investment for investors with state dependent income, and for insurers. Zbl 1069.91051
Hipp, Christian; Plum, Michael
53
2003
Numerical verification methods and computer-assisted proofs for partial differential equations. Zbl 1462.65004
Nakao, Mitsuhiro T.; Plum, Michael; Watanabe, Yoshitaka
52
2019
Spectral pollution. Zbl 1062.65056
Davies, E. B.; Plum, M.
50
2004
Photonic crystals. Mathematical analysis and numerical approximation. Zbl 1238.78001
Dörfler, Willy; Lechleiter, Armin; Plum, Michael; Schneider, Guido; Wieners, Christian
39
2011
On the spectrum of second-order differential operators with complex coefficients. Zbl 0944.34018
Brown, B. M.; McCormack, D. K. R.; Evans, W. D.; Plum, M.
36
1999
Existence and enclosure results for continua of solutions of parameter- dependent nonlinear boundary value problems. Zbl 0834.65119
Plum, Michael
35
1995
Computer-assisted enclosure methods for elliptic differential equations. Zbl 0973.65100
Plum, Michael
35
2001
Existence and multiplicity proofs for semilinear elliptic boundary value problems by computer assistance. Zbl 1185.35101
Plum, Michael
32
2008
Characterization and computation of Nash-equilibria for auctions with incomplete information. Zbl 0763.90037
Plum, M.
29
1992
Bounds for eigenvalues of second-order elliptic differential operators. Zbl 0749.35028
Plum, Michael
28
1991
Ground states of a nonlinear curl-curl problem in cylindrically symmetric media. Zbl 1372.35292
Bartsch, Thomas; Dohnal, Tomáš; Plum, Michael; Reichel, Wolfgang
26
2016
A computer-assisted existence and multiplicity proof for travelling waves in a nonlinearly supported beam. Zbl 1104.34034
Breuer, B.; Horák, J.; McKenna, P. J.; Plum, M.
24
2006
Eigenvalue inclusions for second-order ordinary differential operators by a numerical homotopy method. Zbl 0707.65060
Plum, Michael
23
1990
Computer-assisted proofs for semilinear elliptic boundary value problems. Zbl 1186.35073
Plum, Michael
23
2009
Computer-assisted existence proofs for two-point boundary value problems. Zbl 0782.65107
Plum, M.
21
1991
Titchmarsh-Sims-Weyl theory for complex Hamiltonian systems. Zbl 1055.34048
Brown, B. M.; Evans, W. D.; Plum, M.
20
2003
Optimal a priori estimates for interface problems. Zbl 1041.65082
Plum, Michael; Wieners, Christian
19
2003
A computer-assisted instability proof for the Orr-Sommerfeld problem with Poiseuille flow. Zbl 1156.76025
Watanabe, Yoshitaka; Plum, Michael; Nakao, Mitsuhiro T.
15
2009
New solutions of the Gelfand problem. Zbl 1003.65131
Plum, Michael; Wieners, Christian
14
2002
Numerical existence proofs and explicit bounds for solutions of nonlinear elliptic boundary value problems. Zbl 0771.65087
Plum, Michael
14
1992
Surface gap soliton ground states for the nonlinear Schrödinger equation. Zbl 1230.35127
Dohnal, Tomáš; Plum, Michael; Reichel, Wolfgang
13
2011
Guaranteed numerical bounds for eigenvalues. Zbl 0885.47006
Plum, Michael
13
1997
A uniqueness result for a semilinear elliptic problem: a computer-assisted proof. Zbl 1179.35149
McKenna, P. J.; Pacella, F.; Plum, M.; Roth, D.
13
2009
A computer-assisted proof for photonic band gaps. Zbl 1180.78017
Hoang, Vu; Plum, Michael; Wieners, Christian
12
2009
Enclosures for weak solutions of nonlinear elliptic boundary value problems. Zbl 0900.35146
Plum, Michael
12
1994
Verified computations of eigenvalue exclosures for eigenvalue problems in Hilbert spaces. Zbl 1294.35047
Watanabe, Yoshitaka; Nagatou, Kaori; Plum, Michael; Nakao, Mitsuhiro T.
11
2014
Localized modes of the linear periodic Schrödinger operator with a nonlocal perturbation. Zbl 1204.34114
Dohnal, Tomáš; Plum, Michael; Reichel, Wolfgang
11
2009
Eigenvalue inclusions via domain decomposition. Zbl 0993.65120
Behnke, Henning; Mertins, Ulrich; Plum, Michael; Wieners, Christian
10
2000
A computer-assisted uniqueness proof for a semilinear elliptic boundary value problem. Zbl 1253.35046
McKenna, Patrick J.; Pacella, Filomena; Plum, Michael; Roth, Dagmar
9
2012
Operator estimates for homogenization of the Robin Laplacian in a perforated domain. Zbl 1502.35009
Khrabustovskyi, Andrii; Plum, Michael
9
2022
Norm bound computation for inverses of linear operators in Hilbert spaces. Zbl 1398.65094
Watanabe, Yoshitaka; Nagatou, Kaori; Plum, Michael; Nakao, Mitsuhiro T.
8
2016
An unusual self-adjoint linear partial differential operator. Zbl 1081.35022
Everitt, W. N.; Markus, L.; Plum, M.
8
2005
Existence proofs in combination with error bounds for approximate solutions of weakly nonlinear second-order elliptic boundary value problems. Zbl 0735.65084
Plum, M.
8
1991
Enclosures for two-point boundary value problems near bifurcation points. Zbl 0849.65060
Plum, Michael
8
1996
A computer-assisted existence proof for Emden’s equation on an unbounded \(L\)-shaped domain. Zbl 1367.35080
Pacella, Filomena; Plum, Michael; Rütters, Dagmar
8
2017
Verified existence and inclusion results for two-point boundary value problems. Zbl 0784.65067
Plum, Michael
7
1990
Spectrum created by line defects in periodic structures. Zbl 1316.35215
Brown, B. M.; Hoang, V.; Plum, M.; Wood, I.
6
2014
A computer-assisted instability proof for the Orr-Sommerfeld equation with blasius profile. Zbl 1042.65061
Lahmann, Jan-Rainer; Plum, Michael
6
2004
Floquet-Bloch theory for elliptic problems with discontinuous coefficients. Zbl 1247.35073
Brown, B. Malcolm; Hoang, Vu; Plum, Michael; Wood, Ian G.
6
2011
A breather construction for a semilinear curl-curl wave equation with radially symmetric coefficients. Zbl 1386.35275
Plum, Michael; Reichel, Wolfgang
6
2016
Safe numerical bounds for the Titchmarsh-Weyl \(m(\lambda)\)-function. Zbl 0837.65089
Brown, B. M.; Kirby, V. G.; Evans, W. D.; Plum, M.
5
1993
A continuum of unusual self-adjoint linear partial differential operators. Zbl 1134.35041
Everitt, W. N.; Markus, L.; Muzzulini, M.; Plum, M.
4
2007
An existence and inclusion method for two-point boundary value problems with turning points. Zbl 0823.34028
Plum, M.
4
1994
Enclosures for solutions of parameter-dependent nonlinear elliptic boundary value problems: Theory and implementation on a parallel computer. Zbl 0833.65134
Plum, Michael
4
1994
A programmed algorithm for existence proofs for two-point boundary value problems. Zbl 0703.65043
Göhlen, M.; Plum, M.; Schröder, J.
4
1990
Eigenvalue excluding for perturbed-periodic one-dimensional Schrödinger operators. Zbl 1364.34124
Nagatou, Kaori; Plum, Michael; Nakao, Mitsuhiro T.
4
2012
On the spectrum of waveguides in planar photonic bandgap structures. Zbl 1371.78110
Brown, B. M.; Hoang, V.; Plum, M.; Wood, I.
4
2015
On the spectrum of the Orr-Sommerfeld equation on the semiaxis. Zbl 0988.34070
Lahmann, J.; Plum, M.
3
2000
Inclusion methods for elliptic boundary value problems. Zbl 0814.65105
Plum, Michael
3
1994
Inclusions and existence proofs for solutions of a nonlinear boundary value problem by spectral numerical methods. Zbl 0994.65129
Breuer, B.; Plum, M.; McKenna, P. J.
3
2001
Orbital stability of domain walls in coupled Gross-Pitaevskii systems. Zbl 1387.35430
Contreras, Andres; Pelinovsky, Dmitry E.; Plum, Michael
3
2018
Spectral properties of an elliptic operator with double-contrast coefficients near a hyperplane. Zbl 1341.47058
Khrabustovskyi, Andrii; Plum, Michael
2
2016
Eigenvalue problems for differential equations. Zbl 0886.65108
Plum, Michael
2
1997
An Opial-type inequality with an integral boundary condition. Zbl 1153.26313
Brown, Richard C.; Plum, Michael
2
2005
Inequalities and applications. Proceedings of the conference on inequalities and applications, Noszvaj, Hungary, September 9–15, 2007. Zbl 1148.26004
2
2009
Shape-invariant bounds for reaction-diffusion systems with unequal diffusion coefficients. Zbl 0658.35048
Plum, Michael
2
1988
Higher order constitutive relations and interface conditions for metamaterials with strong spatial dispersion. Zbl 07411323
Goffi, Fatima Z.; Khrabustovskyi, Andrii; Venkitakrishnan, Ramakrishna; Rockstuhl, Carsten; Plum, Michael
2
2021
Approximate nonradial solutions for the Lane-Emden problem in the ball. Zbl 1473.35261
Fazekas, Borbála; Pacella, Filomena; Plum, Michael
2
2022
Orbital stability investigations for travelling waves in a nonlinearly supported beam. Zbl 1472.35039
Nagatou, K.; Plum, M.; McKenna, P. J.
2
2019
Gap localization of TE-modes by arbitrarily weak defects. Zbl 1379.35095
Brown, B. M.; Hoang, V.; Plum, M.; Radosz, M.; Wood, I.
2
2017
Interfaces supporting surface gap soliton ground states in the 1D nonlinear Schrödinger equation. Zbl 1315.34097
Dohnal, Tomáš; Nagatou, Kaori; Plum, Michael; Reichel, Wolfgang
1
2013
On spectral bounds for photonic crystal waveguides. Zbl 1266.78018
Brown, B. Malcolm; Hoang, Vu; Plum, Michael; Wood, Ian G.
1
2009
Existence proofs for elliptic boundary value problems by numerical means. Zbl 0832.35052
Plum, M.
1
1995
Existence and inclusion for two-point boundary value problems by numerical means. Zbl 0767.65065
Plum, Michael
1
1992
Numerical enclosures for variational inequalities. Zbl 1141.65052
Plum, M.; Wieners, Ch.
1
2007
Free and forced vibrations of trusses by Fourier decomposition, and homotopy methods for nonlinear matrix eigenvalue problems. I: Methods. Zbl 1018.74039
Adams, E.; Plum, M.
1
2002
Free and forced vibrations of trusses by Fourier decomposition, and homotopy methods for nonlinear matrix eigenvalue problems. II: Properties and supplements. Zbl 1019.74040
Adams, E.; Plum, M.
1
2002
Pointwise bounds for linear reaction-diffusion systems and an extension to nonlinear problems. Zbl 0669.35050
Plum, Michael
1
1988
Dynamics of the black soliton in a regularized nonlinear Schrödinger equation. Zbl 1533.35319
Pelinovsky, Dmitry E.; Plum, Michael
1
2024
Dynamics of the black soliton in a regularized nonlinear Schrödinger equation. Zbl 1533.35319
Pelinovsky, Dmitry E.; Plum, Michael
1
2024
Operator estimates for homogenization of the Robin Laplacian in a perforated domain. Zbl 1502.35009
Khrabustovskyi, Andrii; Plum, Michael
9
2022
Approximate nonradial solutions for the Lane-Emden problem in the ball. Zbl 1473.35261
Fazekas, Borbála; Pacella, Filomena; Plum, Michael
2
2022
Higher order constitutive relations and interface conditions for metamaterials with strong spatial dispersion. Zbl 07411323
Goffi, Fatima Z.; Khrabustovskyi, Andrii; Venkitakrishnan, Ramakrishna; Rockstuhl, Carsten; Plum, Michael
2
2021
Numerical verification methods and computer-assisted proofs for partial differential equations. Zbl 1462.65004
Nakao, Mitsuhiro T.; Plum, Michael; Watanabe, Yoshitaka
52
2019
Orbital stability investigations for travelling waves in a nonlinearly supported beam. Zbl 1472.35039
Nagatou, K.; Plum, M.; McKenna, P. J.
2
2019
Orbital stability of domain walls in coupled Gross-Pitaevskii systems. Zbl 1387.35430
Contreras, Andres; Pelinovsky, Dmitry E.; Plum, Michael
3
2018
A computer-assisted existence proof for Emden’s equation on an unbounded \(L\)-shaped domain. Zbl 1367.35080
Pacella, Filomena; Plum, Michael; Rütters, Dagmar
8
2017
Gap localization of TE-modes by arbitrarily weak defects. Zbl 1379.35095
Brown, B. M.; Hoang, V.; Plum, M.; Radosz, M.; Wood, I.
2
2017
Ground states of a nonlinear curl-curl problem in cylindrically symmetric media. Zbl 1372.35292
Bartsch, Thomas; Dohnal, Tomáš; Plum, Michael; Reichel, Wolfgang
26
2016
Norm bound computation for inverses of linear operators in Hilbert spaces. Zbl 1398.65094
Watanabe, Yoshitaka; Nagatou, Kaori; Plum, Michael; Nakao, Mitsuhiro T.
8
2016
A breather construction for a semilinear curl-curl wave equation with radially symmetric coefficients. Zbl 1386.35275
Plum, Michael; Reichel, Wolfgang
6
2016
Spectral properties of an elliptic operator with double-contrast coefficients near a hyperplane. Zbl 1341.47058
Khrabustovskyi, Andrii; Plum, Michael
2
2016
On the spectrum of waveguides in planar photonic bandgap structures. Zbl 1371.78110
Brown, B. M.; Hoang, V.; Plum, M.; Wood, I.
4
2015
Verified computations of eigenvalue exclosures for eigenvalue problems in Hilbert spaces. Zbl 1294.35047
Watanabe, Yoshitaka; Nagatou, Kaori; Plum, Michael; Nakao, Mitsuhiro T.
11
2014
Spectrum created by line defects in periodic structures. Zbl 1316.35215
Brown, B. M.; Hoang, V.; Plum, M.; Wood, I.
6
2014
Interfaces supporting surface gap soliton ground states in the 1D nonlinear Schrödinger equation. Zbl 1315.34097
Dohnal, Tomáš; Nagatou, Kaori; Plum, Michael; Reichel, Wolfgang
1
2013
A computer-assisted uniqueness proof for a semilinear elliptic boundary value problem. Zbl 1253.35046
McKenna, Patrick J.; Pacella, Filomena; Plum, Michael; Roth, Dagmar
9
2012
Eigenvalue excluding for perturbed-periodic one-dimensional Schrödinger operators. Zbl 1364.34124
Nagatou, Kaori; Plum, Michael; Nakao, Mitsuhiro T.
4
2012
Photonic crystals. Mathematical analysis and numerical approximation. Zbl 1238.78001
Dörfler, Willy; Lechleiter, Armin; Plum, Michael; Schneider, Guido; Wieners, Christian
39
2011
Surface gap soliton ground states for the nonlinear Schrödinger equation. Zbl 1230.35127
Dohnal, Tomáš; Plum, Michael; Reichel, Wolfgang
13
2011
Floquet-Bloch theory for elliptic problems with discontinuous coefficients. Zbl 1247.35073
Brown, B. Malcolm; Hoang, Vu; Plum, Michael; Wood, Ian G.
6
2011
Computer-assisted proofs for semilinear elliptic boundary value problems. Zbl 1186.35073
Plum, Michael
23
2009
A computer-assisted instability proof for the Orr-Sommerfeld problem with Poiseuille flow. Zbl 1156.76025
Watanabe, Yoshitaka; Plum, Michael; Nakao, Mitsuhiro T.
15
2009
A uniqueness result for a semilinear elliptic problem: a computer-assisted proof. Zbl 1179.35149
McKenna, P. J.; Pacella, F.; Plum, M.; Roth, D.
13
2009
A computer-assisted proof for photonic band gaps. Zbl 1180.78017
Hoang, Vu; Plum, Michael; Wieners, Christian
12
2009
Localized modes of the linear periodic Schrödinger operator with a nonlocal perturbation. Zbl 1204.34114
Dohnal, Tomáš; Plum, Michael; Reichel, Wolfgang
11
2009
Inequalities and applications. Proceedings of the conference on inequalities and applications, Noszvaj, Hungary, September 9–15, 2007. Zbl 1148.26004
2
2009
On spectral bounds for photonic crystal waveguides. Zbl 1266.78018
Brown, B. Malcolm; Hoang, Vu; Plum, Michael; Wood, Ian G.
1
2009
Existence and multiplicity proofs for semilinear elliptic boundary value problems by computer assistance. Zbl 1185.35101
Plum, Michael
32
2008
A continuum of unusual self-adjoint linear partial differential operators. Zbl 1134.35041
Everitt, W. N.; Markus, L.; Muzzulini, M.; Plum, M.
4
2007
Numerical enclosures for variational inequalities. Zbl 1141.65052
Plum, M.; Wieners, Ch.
1
2007
A computer-assisted existence and multiplicity proof for travelling waves in a nonlinearly supported beam. Zbl 1104.34034
Breuer, B.; Horák, J.; McKenna, P. J.; Plum, M.
24
2006
An unusual self-adjoint linear partial differential operator. Zbl 1081.35022
Everitt, W. N.; Markus, L.; Plum, M.
8
2005
An Opial-type inequality with an integral boundary condition. Zbl 1153.26313
Brown, Richard C.; Plum, Michael
2
2005
Spectral pollution. Zbl 1062.65056
Davies, E. B.; Plum, M.
50
2004
A computer-assisted instability proof for the Orr-Sommerfeld equation with blasius profile. Zbl 1042.65061
Lahmann, Jan-Rainer; Plum, Michael
6
2004
Multiple solutions for a semilinear boundary value problem: a computational multiplicity proof. Zbl 1156.35359
Breuer, B.; McKenna, P. J.; Plum, M.
58
2003
Optimal investment for investors with state dependent income, and for insurers. Zbl 1069.91051
Hipp, Christian; Plum, Michael
53
2003
Titchmarsh-Sims-Weyl theory for complex Hamiltonian systems. Zbl 1055.34048
Brown, B. M.; Evans, W. D.; Plum, M.
20
2003
Optimal a priori estimates for interface problems. Zbl 1041.65082
Plum, Michael; Wieners, Christian
19
2003
New solutions of the Gelfand problem. Zbl 1003.65131
Plum, Michael; Wieners, Christian
14
2002
Free and forced vibrations of trusses by Fourier decomposition, and homotopy methods for nonlinear matrix eigenvalue problems. I: Methods. Zbl 1018.74039
Adams, E.; Plum, M.
1
2002
Free and forced vibrations of trusses by Fourier decomposition, and homotopy methods for nonlinear matrix eigenvalue problems. II: Properties and supplements. Zbl 1019.74040
Adams, E.; Plum, M.
1
2002
Computer-assisted enclosure methods for elliptic differential equations. Zbl 0973.65100
Plum, Michael
35
2001
Inclusions and existence proofs for solutions of a nonlinear boundary value problem by spectral numerical methods. Zbl 0994.65129
Breuer, B.; Plum, M.; McKenna, P. J.
3
2001
Optimal investment for insurers. Zbl 1007.91025
Hipp, Christian; Plum, Michael
166
2000
Eigenvalue inclusions via domain decomposition. Zbl 0993.65120
Behnke, Henning; Mertins, Ulrich; Plum, Michael; Wieners, Christian
10
2000
On the spectrum of the Orr-Sommerfeld equation on the semiaxis. Zbl 0988.34070
Lahmann, J.; Plum, M.
3
2000
On the spectrum of second-order differential operators with complex coefficients. Zbl 0944.34018
Brown, B. M.; McCormack, D. K. R.; Evans, W. D.; Plum, M.
36
1999
Guaranteed numerical bounds for eigenvalues. Zbl 0885.47006
Plum, Michael
13
1997
Eigenvalue problems for differential equations. Zbl 0886.65108
Plum, Michael
2
1997
Enclosures for two-point boundary value problems near bifurcation points. Zbl 0849.65060
Plum, Michael
8
1996
Existence and enclosure results for continua of solutions of parameter- dependent nonlinear boundary value problems. Zbl 0834.65119
Plum, Michael
35
1995
Existence proofs for elliptic boundary value problems by numerical means. Zbl 0832.35052
Plum, M.
1
1995
Enclosures for weak solutions of nonlinear elliptic boundary value problems. Zbl 0900.35146
Plum, Michael
12
1994
An existence and inclusion method for two-point boundary value problems with turning points. Zbl 0823.34028
Plum, M.
4
1994
Enclosures for solutions of parameter-dependent nonlinear elliptic boundary value problems: Theory and implementation on a parallel computer. Zbl 0833.65134
Plum, Michael
4
1994
Inclusion methods for elliptic boundary value problems. Zbl 0814.65105
Plum, Michael
3
1994
Safe numerical bounds for the Titchmarsh-Weyl \(m(\lambda)\)-function. Zbl 0837.65089
Brown, B. M.; Kirby, V. G.; Evans, W. D.; Plum, M.
5
1993
Explicit \(H_ 2\)-estimates and pointwise bounds for solutions of second- order elliptic boundary value problems. Zbl 0780.35028
Plum, Michael
60
1992
Characterization and computation of Nash-equilibria for auctions with incomplete information. Zbl 0763.90037
Plum, M.
29
1992
Numerical existence proofs and explicit bounds for solutions of nonlinear elliptic boundary value problems. Zbl 0771.65087
Plum, Michael
14
1992
Existence and inclusion for two-point boundary value problems by numerical means. Zbl 0767.65065
Plum, Michael
1
1992
Bounds for eigenvalues of second-order elliptic differential operators. Zbl 0749.35028
Plum, Michael
28
1991
Computer-assisted existence proofs for two-point boundary value problems. Zbl 0782.65107
Plum, M.
21
1991
Existence proofs in combination with error bounds for approximate solutions of weakly nonlinear second-order elliptic boundary value problems. Zbl 0735.65084
Plum, M.
8
1991
Eigenvalue inclusions for second-order ordinary differential operators by a numerical homotopy method. Zbl 0707.65060
Plum, Michael
23
1990
Verified existence and inclusion results for two-point boundary value problems. Zbl 0784.65067
Plum, Michael
7
1990
A programmed algorithm for existence proofs for two-point boundary value problems. Zbl 0703.65043
Göhlen, M.; Plum, M.; Schröder, J.
4
1990
Shape-invariant bounds for reaction-diffusion systems with unequal diffusion coefficients. Zbl 0658.35048
Plum, Michael
2
1988
Pointwise bounds for linear reaction-diffusion systems and an extension to nonlinear problems. Zbl 0669.35050
Plum, Michael
1
1988
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Cited by 869 Authors

37 Plum, Michael
34 Nakao, Mitsuhiro T.
28 Lessard, Jean-Philippe
25 Watanabe, Yoshitaka
19 Zhao, Hui
18 Rong, Ximin
16 Oishi, Shin’ichi
11 Breden, Maxime
11 Kinoshita, Takehiko
11 Mireles-James, Jason D.
11 Reichel, Wolfgang
11 Tanaka, Kazuaki
11 van den Berg, Jan Bouwe
10 Mederski, Jarosław
10 Sun, Huaqing
9 McKenna, Patrick Joseph
9 Qi, Jiangang
9 Yamamoto, Nobito
8 Brown, B. Malcolm
8 Dohnal, Tomáš
8 Liang, Zhibin
8 Luo, Shangzhen
8 Marletta, Marco
8 Nagatou, Kaori
8 Ryoo, Cheon Seoung
8 Sekine, Kouta
8 Wanner, Thomas
7 Khrabustovskyi, Andrii
7 Liu, Xuefeng
7 Schneider, Guido
6 Arioli, Gianni
6 Bi, Junna
6 Boulton, Lyonell
6 Gameiro, Marcio F.
6 Guebbaï, Hamza
6 Guo, Junyi
6 Hipp, Christian
6 Li, Danping
6 Mizuguchi, Makoto
6 Schmidli, Hanspeter
6 Strauss, Michael A.
6 Takayasu, Akitoshi
6 Yan, Shusen
5 Düll, Wolf-Patrick
5 Grandits, Peter
5 Koch, Hans-Friedrich
5 Mandel, Rainer
5 Minamoto, Teruya
5 Pelinovsky, Dmitry Efimovich
5 Rump, Siegfried Michael
5 Sander, Evelyn
5 Siu, Tak Kuen
5 Wieners, Christian
5 Xu, Lin
5 Yang, Hailiang
5 Young, Virginia R.
5 Zhang, Xin
4 Bai, Lihua
4 Bartsch, Thomas J.
4 Borisov, Denis Ivanovich
4 Cancès, Eric
4 Gesztesy, Fritz
4 Hinton, Don Barker
4 Hoang, Vu Phuong
4 Li, Sheng
4 Ortner, Christoph
4 Pacella, Filomena
4 Tretter, Christiane
4 Wang, Mingming
4 Yuen, Kam Chuen
4 Zhang, Yibin
3 Azcue, Pablo
3 Bayraktar, Erhan
3 Behncke, Horst
3 Belkina, Tat’yana Andreevna
3 Bieganowski, Bartosz
3 Bögli, Sabine
3 Cai, Shuting
3 Castelli, Roberto
3 Chirilus-Bruckner, Martina
3 Chiu, Mei Choi
3 Church, Kevin E. M.
3 Cyranka, Jacek
3 Davies, Edward Brian
3 de Marchis, Francesca
3 Deka, Bhupen
3 Drouot, Alexis
3 Dusson, Geneviève
3 Elliott, Robert James
3 Gaier, Johanna
3 Gómez-Serrano, Javier
3 Guo, Yuxia
3 Hao, Wenrui
3 Hata, Hiroaki
3 Hénot, Olivier
3 Hu, Yijun
3 Ianni, Isabella
3 Jaquette, Jonathan
3 Kang, Jincai
3 Khellaf, Ammar
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Cited in 210 Serials

53 Journal of Computational and Applied Mathematics
39 Insurance Mathematics & Economics
30 Journal of Differential Equations
28 Journal of Mathematical Analysis and Applications
17 Japan Journal of Industrial and Applied Mathematics
16 Numerische Mathematik
15 Scandinavian Actuarial Journal
12 Journal of Scientific Computing
10 Applied Mathematics and Computation
10 Applied Numerical Mathematics
10 Journal of Industrial and Management Optimization
9 Journal of Functional Analysis
9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
9 Communications in Statistics. Theory and Methods
9 Calculus of Variations and Partial Differential Equations
8 ZAMP. Zeitschrift für angewandte Mathematik und Physik
8 Communications in Nonlinear Science and Numerical Simulation
8 SIAM Journal on Applied Dynamical Systems
8 Journal of Spectral Theory
7 Computers & Mathematics with Applications
7 Nonlinearity
7 Mathematics of Computation
6 Archive for Rational Mechanics and Analysis
6 Journal of Mathematical Physics
6 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
6 Computing
6 Journal of Economic Theory
6 Numerical Functional Analysis and Optimization
6 Journal of Dynamics and Differential Equations
6 SIAM Journal on Scientific Computing
6 Journal of Systems Science and Complexity
6 ASTIN Bulletin
6 Journal of Computational Dynamics
5 Integral Equations and Operator Theory
5 Mathematische Nachrichten
5 Physica D
5 Acta Mathematicae Applicatae Sinica. English Series
5 Applied Mathematics Letters
5 SIAM Journal on Mathematical Analysis
5 North American Actuarial Journal
4 Mathematical Methods in the Applied Sciences
4 SIAM Journal on Numerical Analysis
4 The Annals of Applied Probability
4 Games and Economic Behavior
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Linear Algebra and its Applications
4 Discrete and Continuous Dynamical Systems
4 Abstract and Applied Analysis
4 Journal of Inequalities and Applications
4 Stochastic Models
4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
4 JSIAM Letters
4 SN Partial Differential Equations and Applications
3 Applicable Analysis
3 Communications in Mathematical Physics
3 International Journal of Control
3 Rocky Mountain Journal of Mathematics
3 Journal of the London Mathematical Society. Second Series
3 Proceedings of the American Mathematical Society
3 Computational Mathematics and Mathematical Physics
3 European Journal of Operational Research
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Bulletin of the American Mathematical Society. New Series
3 NoDEA. Nonlinear Differential Equations and Applications
3 Finance and Stochastics
3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
3 Discrete Dynamics in Nature and Society
3 Communications in Contemporary Mathematics
3 The ANZIAM Journal
3 Discrete and Continuous Dynamical Systems. Series B
3 Communications on Pure and Applied Analysis
3 Oberwolfach Reports
3 Journal of Fixed Point Theory and Applications
3 Mathematical Control and Related Fields
2 Advances in Applied Probability
2 Journal of Computational Physics
2 Advances in Mathematics
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Archiv der Mathematik
2 BIT
2 Journal of Approximation Theory
2 Results in Mathematics
2 SIAM Journal on Control and Optimization
2 Studies in Applied Mathematics
2 Optimization
2 Numerical Methods for Partial Differential Equations
2 Economics Letters
2 Numerical Algorithms
2 Indagationes Mathematicae. New Series
2 Journal of Nonlinear Science
2 Computational and Applied Mathematics
2 Economic Theory
2 Advances in Differential Equations
2 Journal of Difference Equations and Applications
2 Mathematical Problems in Engineering
2 Mathematical Methods of Operations Research
2 Journal of Mathematical Fluid Mechanics
2 Lobachevskii Journal of Mathematics
2 Annales Henri Poincaré
...and 110 more Serials
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Cited in 42 Fields

328 Partial differential equations (35-XX)
234 Numerical analysis (65-XX)
202 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
100 Ordinary differential equations (34-XX)
100 Operator theory (47-XX)
91 Probability theory and stochastic processes (60-XX)
87 Systems theory; control (93-XX)
50 Optics, electromagnetic theory (78-XX)
48 Calculus of variations and optimal control; optimization (49-XX)
38 Dynamical systems and ergodic theory (37-XX)
33 Mechanics of deformable solids (74-XX)
33 Fluid mechanics (76-XX)
26 Computer science (68-XX)
24 Statistics (62-XX)
21 Global analysis, analysis on manifolds (58-XX)
21 Quantum theory (81-XX)
17 Statistical mechanics, structure of matter (82-XX)
16 Operations research, mathematical programming (90-XX)
12 Functional analysis (46-XX)
11 Harmonic analysis on Euclidean spaces (42-XX)
9 Difference and functional equations (39-XX)
9 Approximations and expansions (41-XX)
8 Linear and multilinear algebra; matrix theory (15-XX)
5 Real functions (26-XX)
5 Integral equations (45-XX)
5 Mechanics of particles and systems (70-XX)
4 General and overarching topics; collections (00-XX)
4 Special functions (33-XX)
3 Classical thermodynamics, heat transfer (80-XX)
2 Potential theory (31-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Abstract harmonic analysis (43-XX)
2 Biology and other natural sciences (92-XX)
1 Mathematical logic and foundations (03-XX)
1 Combinatorics (05-XX)
1 Number theory (11-XX)
1 \(K\)-theory (19-XX)
1 Functions of a complex variable (30-XX)
1 Convex and discrete geometry (52-XX)
1 Differential geometry (53-XX)
1 Relativity and gravitational theory (83-XX)
1 Information and communication theory, circuits (94-XX)

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