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Scherer, Rudolf

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Author ID: scherer.rudolf Recent zbMATH articles by "Scherer, Rudolf"
Published as: Scherer, Rudolf; Scherer, R.
Documents Indexed: 60 Publications since 1972
Reviewing Activity: 149 Reviews

Publications by Year

Citations contained in zbMATH Open

33 Publications have been cited 230 times in 209 Documents Cited by Year
The Grünwald-Letnikov method for fractional differential equations. Zbl 1228.65121
Scherer, Rudolf; Kalla, Shyam L.; Tang, Yifa; Huang, Jianfei
47
2011
Numerical treatment of fractional heat equations. Zbl 1143.65105
Scherer, R.; Kalla, S. L.; Boyadjiev, L.; Al-Saqabi, B.
32
2008
On the Caputo operator of fractional calculus and C-Laguerre functions. Zbl 1078.26007
Ishteva, Mariya; Boyadjiev, Lyubomir; Scherer, Rudolf
15
2005
Estimating quadrature errors for analytic functions using kernel representations and biorthogonal systems. Zbl 0943.41014
Scherer, Rudolf; Schira, Thomas
15
2000
Midpoint rule for a linear stochastic oscillator with additive noise. Zbl 1105.65008
Hong, Jialin; Scherer, Rudolf; Wang, Lijin
12
2006
Predictor-corrector methods for a linear stochastic oscillator with additive noise. Zbl 1140.65014
Hong, Jialin; Scherer, Rudolf; Wang, Lijin
12
2007
On the Riemann-Liouville fractional calculus, \(g\)-Jacobi functions and \(F\)-Gauss functions. Zbl 1117.33010
Mirevski, S. P.; Boyadjiev, L.; Scherer, R.
11
2007
Reflected and transposed Runge-Kutta methods. Zbl 0573.65051
Scherer, Rudolf; Türke, Helmut
11
1983
Asymptotic expansions of singular solutions for \((3+1)\)-D Protter problems. Zbl 1113.35115
Popivanov, Nedyu; Popov, Todor; Scherer, Rudolf
9
2007
A necessary condition for B-stability. Zbl 0397.65054
Scherer, Rudolf
8
1979
Multi-symplectic Birkhoffian structure for PDEs with dissipation terms. Zbl 1237.37055
Su, Hongling; Qin, Mengzhao; Wang, Yushun; Scherer, Rudolf
8
2010
Algebraic characterization of \(A\)-stable Runge-Kutta methods. Zbl 0671.65074
Scherer, R.; Türke, H.
5
1989
Structure preserving schemes for Birkhoffian systems. Zbl 1141.65087
Su, H. L.; Sun, Y. J.; Qin, M. Z.; Scherer, R.
5
2007
Protter-Morawetz multidimensional problems. Zbl 1334.76072
Popivanov, Nedyu; Popov, Todor; Scherer, Rudolf
4
2012
A multisymplectic geometry and a multisymplectic scheme for Maxwell’s equations. Zbl 1126.65104
Su, Hongling; Qin, Mengzhao; Scherer, Rudolf
4
2007
Algebraic conditions for \(A\)-stable Runge-Kutta methods. Zbl 0768.65049
Scherer, R.; Müller, M.
3
1992
Gauss-Runge-Kutta-Nyström methods. Zbl 0904.65076
Burnton, Christopher; Scherer, Rudolf
3
1998
Complete algebraic characterization of \(A\)-stable Runge-Kutta methods. Zbl 0805.65084
Scherer, R.; Wendler, W.
3
1994
A generalization of the positive real lemma. Zbl 0807.93051
Scherer, Rudolf; Wendler, Werner
3
1994
A generalized \(W\)-transformation for constructing symplectic partitioned Runge-Kutta methods. Zbl 1024.65123
Grimm, V.; Scherer, R.
3
2003
Reducibility and characterization of symplectic Runge-Kutta methods. Zbl 0852.65061
Görtz, Peter; Scherer, Rudolf
2
1994
A note on Radau and Lobatto formulae for ODE. Zbl 0362.65060
Scherer, Rudolf
2
1977
Stability analysis of equilibrium manifolds for a two-predators one-prey model. Zbl 1107.92061
Zhang, Xin; Tang, Yun; Scherer, Rudolf
2
2006
Semi-Fredholm solvability of exponential growth for \((3+1)\)D Protter problems. Zbl 1224.35248
Popivanov, N.; Popov, T.; Scherer, R.
2
2010
Hamiltonian systems and symplectic integrators. Zbl 0889.65077
Görtz, Peter; Scherer, Rudolf
1
1997
Spiegelung von Stabilitätsbereichen. Zbl 0386.65036
Scherer, Rudolf
1
1978
Shorthand notation for rounding errors. Zbl 0432.65022
Scherer, Rudolf; Zeller, Karl
1
1980
On the fractional heat equation. Zbl 1076.35007
Boyadjiev, L.; Scherer, R.
1
2005
Herleitung von Runge-Kutta-Verfahren der Ordnung vier mit übersichtlichen Fehlerdarstellungen. Zbl 0237.65047
Scherer, Rudolf
1
1972
Exaktheitseigenschaft einiger Runge-Kutta-Formeln. Zbl 0306.65042
Scherer, Rudolf
1
1975
A stability problem corresponding to Runge-Kutta methods. Zbl 0628.65068
Scherer, R.
1
1987
Über Fehlerschranken bei Produkt-Kubatur. Zbl 0511.41033
Scherer, Rudolf
1
1980
Multisymplectic and variational integrators. Zbl 1147.65103
Chen, Jing-Bo; Qin, Meng-Zhao; Scherer, Rudolf
1
2008
Protter-Morawetz multidimensional problems. Zbl 1334.76072
Popivanov, Nedyu; Popov, Todor; Scherer, Rudolf
4
2012
The Grünwald-Letnikov method for fractional differential equations. Zbl 1228.65121
Scherer, Rudolf; Kalla, Shyam L.; Tang, Yifa; Huang, Jianfei
47
2011
Multi-symplectic Birkhoffian structure for PDEs with dissipation terms. Zbl 1237.37055
Su, Hongling; Qin, Mengzhao; Wang, Yushun; Scherer, Rudolf
8
2010
Semi-Fredholm solvability of exponential growth for \((3+1)\)D Protter problems. Zbl 1224.35248
Popivanov, N.; Popov, T.; Scherer, R.
2
2010
Numerical treatment of fractional heat equations. Zbl 1143.65105
Scherer, R.; Kalla, S. L.; Boyadjiev, L.; Al-Saqabi, B.
32
2008
Multisymplectic and variational integrators. Zbl 1147.65103
Chen, Jing-Bo; Qin, Meng-Zhao; Scherer, Rudolf
1
2008
Predictor-corrector methods for a linear stochastic oscillator with additive noise. Zbl 1140.65014
Hong, Jialin; Scherer, Rudolf; Wang, Lijin
12
2007
On the Riemann-Liouville fractional calculus, \(g\)-Jacobi functions and \(F\)-Gauss functions. Zbl 1117.33010
Mirevski, S. P.; Boyadjiev, L.; Scherer, R.
11
2007
Asymptotic expansions of singular solutions for \((3+1)\)-D Protter problems. Zbl 1113.35115
Popivanov, Nedyu; Popov, Todor; Scherer, Rudolf
9
2007
Structure preserving schemes for Birkhoffian systems. Zbl 1141.65087
Su, H. L.; Sun, Y. J.; Qin, M. Z.; Scherer, R.
5
2007
A multisymplectic geometry and a multisymplectic scheme for Maxwell’s equations. Zbl 1126.65104
Su, Hongling; Qin, Mengzhao; Scherer, Rudolf
4
2007
Midpoint rule for a linear stochastic oscillator with additive noise. Zbl 1105.65008
Hong, Jialin; Scherer, Rudolf; Wang, Lijin
12
2006
Stability analysis of equilibrium manifolds for a two-predators one-prey model. Zbl 1107.92061
Zhang, Xin; Tang, Yun; Scherer, Rudolf
2
2006
On the Caputo operator of fractional calculus and C-Laguerre functions. Zbl 1078.26007
Ishteva, Mariya; Boyadjiev, Lyubomir; Scherer, Rudolf
15
2005
On the fractional heat equation. Zbl 1076.35007
Boyadjiev, L.; Scherer, R.
1
2005
A generalized \(W\)-transformation for constructing symplectic partitioned Runge-Kutta methods. Zbl 1024.65123
Grimm, V.; Scherer, R.
3
2003
Estimating quadrature errors for analytic functions using kernel representations and biorthogonal systems. Zbl 0943.41014
Scherer, Rudolf; Schira, Thomas
15
2000
Gauss-Runge-Kutta-Nyström methods. Zbl 0904.65076
Burnton, Christopher; Scherer, Rudolf
3
1998
Hamiltonian systems and symplectic integrators. Zbl 0889.65077
Görtz, Peter; Scherer, Rudolf
1
1997
Complete algebraic characterization of \(A\)-stable Runge-Kutta methods. Zbl 0805.65084
Scherer, R.; Wendler, W.
3
1994
A generalization of the positive real lemma. Zbl 0807.93051
Scherer, Rudolf; Wendler, Werner
3
1994
Reducibility and characterization of symplectic Runge-Kutta methods. Zbl 0852.65061
Görtz, Peter; Scherer, Rudolf
2
1994
Algebraic conditions for \(A\)-stable Runge-Kutta methods. Zbl 0768.65049
Scherer, R.; Müller, M.
3
1992
Algebraic characterization of \(A\)-stable Runge-Kutta methods. Zbl 0671.65074
Scherer, R.; Türke, H.
5
1989
A stability problem corresponding to Runge-Kutta methods. Zbl 0628.65068
Scherer, R.
1
1987
Reflected and transposed Runge-Kutta methods. Zbl 0573.65051
Scherer, Rudolf; Türke, Helmut
11
1983
Shorthand notation for rounding errors. Zbl 0432.65022
Scherer, Rudolf; Zeller, Karl
1
1980
Über Fehlerschranken bei Produkt-Kubatur. Zbl 0511.41033
Scherer, Rudolf
1
1980
A necessary condition for B-stability. Zbl 0397.65054
Scherer, Rudolf
8
1979
Spiegelung von Stabilitätsbereichen. Zbl 0386.65036
Scherer, Rudolf
1
1978
A note on Radau and Lobatto formulae for ODE. Zbl 0362.65060
Scherer, Rudolf
2
1977
Exaktheitseigenschaft einiger Runge-Kutta-Formeln. Zbl 0306.65042
Scherer, Rudolf
1
1975
Herleitung von Runge-Kutta-Verfahren der Ordnung vier mit übersichtlichen Fehlerdarstellungen. Zbl 0237.65047
Scherer, Rudolf
1
1972
all top 5

Cited by 338 Authors

12 Scherer, Rudolf
11 Spalević, Miodrag M.
8 Hong, Jialin
8 Popivanov, Nedyu Iv.
7 Băleanu, Dumitru I.
7 Pejčev, Aleksandar V.
5 Tang, Yifa
5 Wu, Huibin
4 Avazzadeh, Zakieh
4 Kong, Xinlei
4 Mei, Fengxiang
4 Moore, Brian E.
4 Sweilam, Nasser Hassan
4 Wang, Lijin
3 Abd-Elhameed, Waleed Mohamed
3 Chan, Robert Peng Kong
3 Heydari, Mohammadhossein
3 Huang, Jianfei
3 Kalla, Shyam Lal
3 Martín-Vaquero, Jesús
3 Maslovskaya, Anna G.
3 Muir, Paul H.
3 Müller, Michael
3 Popov, Todor
3 Schneider, Manfred Friedrich
3 Wei, Ting
3 Zhang, Jingjing
2 Arenas, Abraham J.
2 Bhatt, Ashish
2 Bhrawy, Ali Hassan
2 Bu, Weiping
2 Carvalho, Ana R. M.
2 Chen-Charpentier, Benito M.
2 D’Ambrosio, Raffaele
2 Danca, Marius-Florin
2 Darti, Isnani
2 Dechevsky, Lubomir T.
2 Djukić, Dušan Lj.
2 Enright, Wayne H.
2 Gómez-Aguilar, José Francisco
2 González-Parra, Gilberto C.
2 Hasegawa, Takemitsu
2 Heydari, Mohammad Hossien
2 Hoang, Manh Tuan
2 Hristov, Tsvetan
2 Jacobs, Byron A.
2 Jiang, Yingjun
2 Khader, Mohamed M.
2 Kim, Pilwon
2 Kiryakova, Virginia S.
2 Koto, Toshiyuki
2 Kraaijevanger, J. F. B. M.
2 Lanzon, Alexander
2 Li, Shengtai
2 Ma, Jingtang
2 Milovanović, Gradimir V.
2 Moroz, L. I.
2 Nikolov, Aleksey
2 Petersen, Ian Richard
2 Pinto, Carla M. A.
2 Rodrigues, Maria Manuela
2 Senosiain, M. J.
2 Song, Songhe
2 Spijker, Marc N.
2 Su, Hongling
2 Sugiura, Hiroshi
2 Sun, Liying
2 Sun, Zhizhong
2 Suryanto, Agus
2 Tocino, Alicia
2 Vigo-Aguiar, Jesus
2 Wang, Yushun
2 Xiao, Aiguo
2 Zhang, Zhimin
2 Zheng, Guanghui
2 Zhou, Weien
1 Abbaszadeh, Sadegh
1 Abderafik, Benrabah
1 Abou Hasan, Muner M.
1 Abu-Khamsin, Sidqi A.
1 Agarwal, Ravi P.
1 Ahmed, Nauman
1 Al-Khaled, Kamel M.
1 Al-Mekhlafi, Seham Mahyoub
1 Al-Saqabi, Bader N.
1 Al-Zahrani, Abdulrahim
1 Alhamed, Yahia
1 Ali, Ismail
1 Alsaadi, Fawaz E.
1 Alvarado-Martínez, V. M.
1 Anam, Syaiful
1 Angstmann, Christopher N.
1 Area, Iván
1 Arshad, Sadia
1 Astorga-Zaragoza, Carlos-Manuel
1 Babolian, Esmail
1 Beame, Paul W.
1 Bergounioux, Maïtine
1 Bhattacharya, Sabyasachi
1 Boukabou, Abdelkrim
...and 238 more Authors
all top 5

Cited in 78 Serials

15 Computers & Mathematics with Applications
14 Journal of Computational and Applied Mathematics
13 BIT
11 Journal of Computational Physics
10 Applied Mathematics and Computation
8 Nonlinear Dynamics
7 Numerische Mathematik
7 Applied Numerical Mathematics
6 Numerical Algorithms
6 Abstract and Applied Analysis
5 Journal of Scientific Computing
4 Chaos, Solitons and Fractals
4 Computing
4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
3 Mathematics of Computation
3 Applied Mathematical Modelling
3 International Journal of Computer Mathematics
3 Computational and Applied Mathematics
3 ETNA. Electronic Transactions on Numerical Analysis
3 Communications in Nonlinear Science and Numerical Simulation
3 Science China. Mathematics
2 Automatica
2 Mathematics and Computers in Simulation
2 Results in Mathematics
2 Systems & Control Letters
2 Mathematical and Computer Modelling
2 Siberian Advances in Mathematics
2 Advances in Computational Mathematics
2 Integral Transforms and Special Functions
2 Engineering Analysis with Boundary Elements
2 Fractional Calculus & Applied Analysis
2 Matematicheskoe Modelirovanie
2 Advances in Difference Equations
2 Inverse Problems in Science and Engineering
2 BIT. Nordisk Tidskrift for Informationsbehandling
1 Computer Methods in Applied Mechanics and Engineering
1 Computer Physics Communications
1 Journal of the Franklin Institute
1 Linear and Multilinear Algebra
1 Mathematical Biosciences
1 Mathematical Methods in the Applied Sciences
1 Rocky Mountain Journal of Mathematics
1 Journal of Geometry and Physics
1 Archiv der Mathematik
1 Calcolo
1 International Journal of Mathematics and Mathematical Sciences
1 Bulletin of the Iranian Mathematical Society
1 Physica D
1 SIAM Journal on Matrix Analysis and Applications
1 Japan Journal of Industrial and Applied Mathematics
1 SIAM Review
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Computers and Mathematics with Applications. Part A
1 Continuum Mechanics and Thermodynamics
1 SIAM Journal on Scientific Computing
1 Turkish Journal of Mathematics
1 Discrete and Continuous Dynamical Systems
1 Matematychni Metody ta Fizyko-Mekhanichni Polya
1 Arab Journal of Mathematical Sciences
1 Mathematical Problems in Engineering
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Soft Computing
1 European Journal of Mechanics. A. Solids
1 Nonlinear Analysis. Real World Applications
1 Journal of Applied Mathematics
1 Boundary Value Problems
1 Proceedings of the Steklov Institute of Mathematics
1 Applications and Applied Mathematics
1 Discrete and Continuous Dynamical Systems. Series S
1 Asian-European Journal of Mathematics
1 International Journal of Biomathematics
1 Advances in Mathematical Physics
1 Analysis and Mathematical Physics
1 Fractional Differential Calculus
1 Journal of Mathematics
1 Mathematics
1 Nonlinear Analysis. Theory, Methods & Applications
1 Journal of Applied Mathematics and Computational Mechanics

Citations by Year