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Ixaru, Liviu Gr.

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Author ID: ixaru.liviu-gr Recent zbMATH articles by "Ixaru, Liviu Gr."
Published as: Ixaru, L. Gr.; Ixaru, Liviu Gr.; Ixaru, Liviu; Ixaru, Liviu G.; Ixaru, L.
Documents Indexed: 61 Publications since 1972, including 3 Books
Biographic References: 1 Publication

Publications by Year

Citations contained in zbMATH Open

52 Publications have been cited 1,124 times in 463 Documents Cited by Year
Comparison of some four-step methods for the numerical solution of the Schrödinger equation. Zbl 0679.65053
Ixaru, L. Gr.; Rizea, M.
124
1985
\(P\)-stability and exponential-fitting methods for \(y''=f(x,y)\). Zbl 0847.65052
Coleman, John P.; Ixaru, Liviu Gr.
99
1996
Frequency evaluation in exponential fitting multistep algorithms for ODEs. Zbl 0996.65075
Ixaru, L. Gr.; Vanden Berghe, G.; De Meyer, H.
90
2002
Exponential fitting. With CD-ROM. Zbl 1105.65082
Ixaru, Liviu Gr.; Vanden Berghe, Guido
72
2004
A new method for solving inhomogeneous second order differential equations. Zbl 0301.34010
Ixaru, L. Gr.
51
1974
Operations on oscillatory functions. Zbl 0930.65150
Ixaru, L. Gr.
50
1997
Weights of the exponential fitting multistep algorithms for first-order ODEs. Zbl 0991.65061
Ixaru, L. Gr.; Rizea, M.; Vanden Berghe, G.; De Meyer, H.
37
2001
Exponentially fitted variable two-step BDF algorithm for first order ODEs. Zbl 1196.65110
Ixaru, L. Gr.; Vanden Berghe, Guido; De Meyer, Hans
37
2003
Numerov method maximally adapted to the Schrödinger equation. Zbl 0633.65131
Ixaru, L. Gr.; Rizea, M.
37
1987
Truncation errors in exponential fitting for oscillatory problems. Zbl 1123.65016
Coleman, J. P.; Ixaru, L. Gr.
34
2006
A conditionally \(P\)-stable fourth-order exponential-fitting method for \(y''=f(x,y)\). Zbl 0934.65079
Ixaru, L. Gr.; Paternoster, B.
31
1999
Numerical methods for differential equations and applications. Transl. from the Roumanian. Zbl 0543.65047
Ixaru, Liviu Gr.
31
1984
Frequency determination and step-length control for exponentially-fitted Runge-Kutta methods. Zbl 0991.65062
Vanden Berghe, G.; Ixaru, L. Gr.; De Meyer, H.
30
2001
Four-step exponential-fitted methods for nonlinear physical problems. Zbl 0927.65100
Ixaru, L. Gr.; Vanden Berghe, G.; De Meyer, H.; Van Daele, M.
29
1997
EXPFIT4 – a FORTRAN program for the numerical solution of systems of nonlinear second-order initial-value problems. Zbl 0927.65099
Ixaru, L. Gr.; De Meyer, H.; Vanden Berghe, G.; Van Daele, M.
27
1997
Optimal implicit exponentially-fitted Runge-Kutta methods. Zbl 0990.65080
Vanden Berghe, G.; Ixaru, L. Gr.; Van Daele, M.
25
2001
Coleman’s method maximally adapted to the Schrödinger equation. Zbl 0664.65092
Ixaru, L. Gr.; Berceanu, S.
25
1987
Exponential-fitted four-step methods for \(y''=f(x,y)\). Zbl 0894.65032
Van Daele, M.; Vanden Berghe, G.; De Meyer, H.; Ixaru, L. Gr.
24
1998
Four step methods for \(y''=f(x,y)\). Zbl 0872.65070
Ixaru, L. Gr.; Rizea, M.
23
1997
Numerical operations on oscillatory functions. Zbl 1064.65021
Ixaru, L. Gr.
22
2001
The Numerov method and singular potentials. Zbl 0621.65099
Ixaru, L. Gr.
22
1987
A Gauss quadrature rule for oscillatory integrands. Zbl 0977.65019
Ixaru, L. Gr.; Paternoster, B.
17
2001
Construction of the ef-based Runge-Kutta methods revisited. Zbl 1217.65146
D’Ambrosio, R.; Ixaru, L. Gr.; Paternoster, B.
17
2011
Extended quadrature rules for oscillatory integrands. Zbl 1025.41016
Kim, KyungJoong; Cools, Ronald; Ixaru, L. Gr.
16
2003
CP methods for the Schrödinger equation revisited. Zbl 0909.65045
Ixaru, L. Gr.; De Meyer, H.; Vanden Berghe, G.
14
1998
CP methods for the Schrödinger equation. Zbl 0971.65067
Ixaru, L. Gr.
14
2000
Quadrature rules using first derivatives for oscillatory integrands. Zbl 1002.41015
Kim, Kyung Joong; Cools, Ronald; Ixaru, L. Gr.
13
2002
Runge-Kutta method with equation dependent coefficients. Zbl 1263.65074
Ixaru, L. Gr.
13
2012
SLCPM12 – a program for solving regular Sturm-Liouville problems. Zbl 1008.34016
Ixaru, L. Gr.; De Meyer, H.; Vanden Berghe, G.
12
1999
Exponential fitting direct quadrature methods for Volterra integral equations. Zbl 1207.65156
Cardone, Angelamaria; Ixaru, Liviu Gr.; Paternoster, Beatrice
12
2010
Piecewise perturbation methods for calculating eigensolutions of a complex optical potential. Zbl 0873.65078
Ixaru, L. Gr.; Rizea, M.; Vertse, T.
8
1995
Some new uses of the \(\eta _m(Z)\) functions. Zbl 1205.65129
Conte, D.; Esposito, E.; Paternoster, B.; Ixaru, L. Gr.
8
2010
Solution of the Schrödinger equation over an infinite integration interval by perturbation methods, revisited. Zbl 1196.81126
Ledoux, V.; Ixaru, L. Gr.; Rizea, M.; Van Daele, M.; Vanden Berghe, G.
7
2006
A first-order perturbative numerical method for the solution of the radial Schrödinger equation. Zbl 0329.65050
Adam, Gh.; Ixaru, L. Gr.; Corciovei, A.
6
1976
Solution of the Schrödinger equation by a high order perturbation method based on a linear reference potential. Zbl 1196.81127
Ledoux, V.; Rizea, M.; Ixaru, L.; Vanden Berghe, G.; Van Daele, M.
6
2006
LILIX – a package for the solution of the coupled channel Schrödinger equation. Zbl 1017.65063
Ixaru, L. Gr.
5
2002
Lagrange-like error formula in exponential fitting. Zbl 1123.65018
Ixaru, L. Gr.
5
2006
The error analysis of the algebraic method for solving the Schrödinger equation. Zbl 0235.65059
Ixaru, L. Gr.
5
1972
Exponentially-fitted Gauss-Laguerre quadrature rule for integrals over an unbounded interval. Zbl 1291.65071
Conte, Dajana; Ixaru, Liviu Gr.; Paternoster, Beatrice; Santomauro, Giuseppe
4
2014
A regularization procedure for \(\sum^ n_{i=1} f_ i (z_ j) x_ i= g(z_ j)\), \((j=1,2,\dots,n)\). Zbl 0841.65021
Ixaru, L. Gr.; de Meyer, H.; Vanden Berghe, G.; Van Daele, M.
4
1996
Choosing step sizes for perturbative methods of solving the Schrödinger equation. Zbl 0457.65058
Ixaru, L. Gr.; Cristu, M. I.; Popa, M. S.
3
1980
A comment on “Reliable operations on oscillatory functions”. Zbl 0995.65147
Ixaru, L. Gr.
3
2001
Function fitting two-step BDF algorithms for ODEs. Zbl 1107.65060
Ixaru, Liviu G.; Paternoster, Beatrice
2
2004
New numerical method for the eigenvalue problem of the 2D Schrödinger equation. Zbl 1219.65130
Ixaru, L. Gr.
2
2010
Approximation formulae generated by exponential fitting. Zbl 1284.65042
Ixaru, Liviu
1
2011
Proton emission from Gamow resonance. Zbl 1011.81518
Vertse, T.; Kruppa, A. T.; Barmore, B.; Nazarewicz, W.; Ixaru, L. Gr.; Rizea, M.
1
2002
Numerical methods for differential equations and applications. (Metode numerice pentru ecuatii diferentiale cu aplicatii.). Zbl 0408.65044
Ixaru, Liviu Gr.
1
1979
Efficient computation of the Airy propagators. Zbl 1196.81062
Ixaru, L. Gr.
1
2007
Fast LP method for the Schrödinger equation. Zbl 1196.81104
Ixaru, L. Gr.
1
2007
Limit cycles in nonlinear excitation of clusters of classical oscillators. Zbl 1197.74192
De Lauro, E.; De Martino, S.; Falanga, M.; Ixaru, L. Gr.
1
2009
Brief survey on the CP methods for the Schrödinger equation. Zbl 1216.65087
Ixaru, L. Gr.
1
2011
Runge-Kutta methods with equation dependent coefficients. Zbl 1352.65190
Ixaru, L. Gr.
1
2013
Exponentially-fitted Gauss-Laguerre quadrature rule for integrals over an unbounded interval. Zbl 1291.65071
Conte, Dajana; Ixaru, Liviu Gr.; Paternoster, Beatrice; Santomauro, Giuseppe
4
2014
Runge-Kutta methods with equation dependent coefficients. Zbl 1352.65190
Ixaru, L. Gr.
1
2013
Runge-Kutta method with equation dependent coefficients. Zbl 1263.65074
Ixaru, L. Gr.
13
2012
Construction of the ef-based Runge-Kutta methods revisited. Zbl 1217.65146
D’Ambrosio, R.; Ixaru, L. Gr.; Paternoster, B.
17
2011
Approximation formulae generated by exponential fitting. Zbl 1284.65042
Ixaru, Liviu
1
2011
Brief survey on the CP methods for the Schrödinger equation. Zbl 1216.65087
Ixaru, L. Gr.
1
2011
Exponential fitting direct quadrature methods for Volterra integral equations. Zbl 1207.65156
Cardone, Angelamaria; Ixaru, Liviu Gr.; Paternoster, Beatrice
12
2010
Some new uses of the \(\eta _m(Z)\) functions. Zbl 1205.65129
Conte, D.; Esposito, E.; Paternoster, B.; Ixaru, L. Gr.
8
2010
New numerical method for the eigenvalue problem of the 2D Schrödinger equation. Zbl 1219.65130
Ixaru, L. Gr.
2
2010
Limit cycles in nonlinear excitation of clusters of classical oscillators. Zbl 1197.74192
De Lauro, E.; De Martino, S.; Falanga, M.; Ixaru, L. Gr.
1
2009
Efficient computation of the Airy propagators. Zbl 1196.81062
Ixaru, L. Gr.
1
2007
Fast LP method for the Schrödinger equation. Zbl 1196.81104
Ixaru, L. Gr.
1
2007
Truncation errors in exponential fitting for oscillatory problems. Zbl 1123.65016
Coleman, J. P.; Ixaru, L. Gr.
34
2006
Solution of the Schrödinger equation over an infinite integration interval by perturbation methods, revisited. Zbl 1196.81126
Ledoux, V.; Ixaru, L. Gr.; Rizea, M.; Van Daele, M.; Vanden Berghe, G.
7
2006
Solution of the Schrödinger equation by a high order perturbation method based on a linear reference potential. Zbl 1196.81127
Ledoux, V.; Rizea, M.; Ixaru, L.; Vanden Berghe, G.; Van Daele, M.
6
2006
Lagrange-like error formula in exponential fitting. Zbl 1123.65018
Ixaru, L. Gr.
5
2006
Exponential fitting. With CD-ROM. Zbl 1105.65082
Ixaru, Liviu Gr.; Vanden Berghe, Guido
72
2004
Function fitting two-step BDF algorithms for ODEs. Zbl 1107.65060
Ixaru, Liviu G.; Paternoster, Beatrice
2
2004
Exponentially fitted variable two-step BDF algorithm for first order ODEs. Zbl 1196.65110
Ixaru, L. Gr.; Vanden Berghe, Guido; De Meyer, Hans
37
2003
Extended quadrature rules for oscillatory integrands. Zbl 1025.41016
Kim, KyungJoong; Cools, Ronald; Ixaru, L. Gr.
16
2003
Frequency evaluation in exponential fitting multistep algorithms for ODEs. Zbl 0996.65075
Ixaru, L. Gr.; Vanden Berghe, G.; De Meyer, H.
90
2002
Quadrature rules using first derivatives for oscillatory integrands. Zbl 1002.41015
Kim, Kyung Joong; Cools, Ronald; Ixaru, L. Gr.
13
2002
LILIX – a package for the solution of the coupled channel Schrödinger equation. Zbl 1017.65063
Ixaru, L. Gr.
5
2002
Proton emission from Gamow resonance. Zbl 1011.81518
Vertse, T.; Kruppa, A. T.; Barmore, B.; Nazarewicz, W.; Ixaru, L. Gr.; Rizea, M.
1
2002
Weights of the exponential fitting multistep algorithms for first-order ODEs. Zbl 0991.65061
Ixaru, L. Gr.; Rizea, M.; Vanden Berghe, G.; De Meyer, H.
37
2001
Frequency determination and step-length control for exponentially-fitted Runge-Kutta methods. Zbl 0991.65062
Vanden Berghe, G.; Ixaru, L. Gr.; De Meyer, H.
30
2001
Optimal implicit exponentially-fitted Runge-Kutta methods. Zbl 0990.65080
Vanden Berghe, G.; Ixaru, L. Gr.; Van Daele, M.
25
2001
Numerical operations on oscillatory functions. Zbl 1064.65021
Ixaru, L. Gr.
22
2001
A Gauss quadrature rule for oscillatory integrands. Zbl 0977.65019
Ixaru, L. Gr.; Paternoster, B.
17
2001
A comment on “Reliable operations on oscillatory functions”. Zbl 0995.65147
Ixaru, L. Gr.
3
2001
CP methods for the Schrödinger equation. Zbl 0971.65067
Ixaru, L. Gr.
14
2000
A conditionally \(P\)-stable fourth-order exponential-fitting method for \(y''=f(x,y)\). Zbl 0934.65079
Ixaru, L. Gr.; Paternoster, B.
31
1999
SLCPM12 – a program for solving regular Sturm-Liouville problems. Zbl 1008.34016
Ixaru, L. Gr.; De Meyer, H.; Vanden Berghe, G.
12
1999
Exponential-fitted four-step methods for \(y''=f(x,y)\). Zbl 0894.65032
Van Daele, M.; Vanden Berghe, G.; De Meyer, H.; Ixaru, L. Gr.
24
1998
CP methods for the Schrödinger equation revisited. Zbl 0909.65045
Ixaru, L. Gr.; De Meyer, H.; Vanden Berghe, G.
14
1998
Operations on oscillatory functions. Zbl 0930.65150
Ixaru, L. Gr.
50
1997
Four-step exponential-fitted methods for nonlinear physical problems. Zbl 0927.65100
Ixaru, L. Gr.; Vanden Berghe, G.; De Meyer, H.; Van Daele, M.
29
1997
EXPFIT4 – a FORTRAN program for the numerical solution of systems of nonlinear second-order initial-value problems. Zbl 0927.65099
Ixaru, L. Gr.; De Meyer, H.; Vanden Berghe, G.; Van Daele, M.
27
1997
Four step methods for \(y''=f(x,y)\). Zbl 0872.65070
Ixaru, L. Gr.; Rizea, M.
23
1997
\(P\)-stability and exponential-fitting methods for \(y''=f(x,y)\). Zbl 0847.65052
Coleman, John P.; Ixaru, Liviu Gr.
99
1996
A regularization procedure for \(\sum^ n_{i=1} f_ i (z_ j) x_ i= g(z_ j)\), \((j=1,2,\dots,n)\). Zbl 0841.65021
Ixaru, L. Gr.; de Meyer, H.; Vanden Berghe, G.; Van Daele, M.
4
1996
Piecewise perturbation methods for calculating eigensolutions of a complex optical potential. Zbl 0873.65078
Ixaru, L. Gr.; Rizea, M.; Vertse, T.
8
1995
Numerov method maximally adapted to the Schrödinger equation. Zbl 0633.65131
Ixaru, L. Gr.; Rizea, M.
37
1987
Coleman’s method maximally adapted to the Schrödinger equation. Zbl 0664.65092
Ixaru, L. Gr.; Berceanu, S.
25
1987
The Numerov method and singular potentials. Zbl 0621.65099
Ixaru, L. Gr.
22
1987
Comparison of some four-step methods for the numerical solution of the Schrödinger equation. Zbl 0679.65053
Ixaru, L. Gr.; Rizea, M.
124
1985
Numerical methods for differential equations and applications. Transl. from the Roumanian. Zbl 0543.65047
Ixaru, Liviu Gr.
31
1984
Choosing step sizes for perturbative methods of solving the Schrödinger equation. Zbl 0457.65058
Ixaru, L. Gr.; Cristu, M. I.; Popa, M. S.
3
1980
Numerical methods for differential equations and applications. (Metode numerice pentru ecuatii diferentiale cu aplicatii.). Zbl 0408.65044
Ixaru, Liviu Gr.
1
1979
A first-order perturbative numerical method for the solution of the radial Schrödinger equation. Zbl 0329.65050
Adam, Gh.; Ixaru, L. Gr.; Corciovei, A.
6
1976
A new method for solving inhomogeneous second order differential equations. Zbl 0301.34010
Ixaru, L. Gr.
51
1974
The error analysis of the algebraic method for solving the Schrödinger equation. Zbl 0235.65059
Ixaru, L. Gr.
5
1972
all top 5

Cited by 301 Authors

151 Simos, Theodore E.
38 Ixaru, Liviu Gr.
35 Van Daele, Marnix
35 Vanden Berghe, Guido
31 Paternoster, Beatrice
30 Alolyan, Ibraheem
25 Fang, Yonglei
23 You, Xiong
15 De Meyer, Hans E.
14 Ledoux, Veerle
13 Franco, J. Méndez
13 Jator, Samuel N.
13 Rández, Luis
13 Van de Vyver, Hans
12 D’Ambrosio, Raffaele
11 Rizea, M.
11 Vigo-Aguiar, Jesus
10 Anastassi, Zacharias A.
10 Li, Jiyong
10 Martín-Vaquero, Jesús
10 Medvedev, Maxim A.
9 Lin, Chialiang
9 Ramos, Higinio
9 Wu, Xinyuan
8 Conte, Dajana
8 Kalogiratou, Zacharoula
8 Montijano, Juan Ignacio
7 Liu, Chenglian
6 Calvo, Manuel
6 Cardone, Angelamaria
6 Chen, Zhaoxia
6 Kim, Kyung Joong
6 Vlachos, D. S.
6 Yang, Yanping
5 Dehghan Takht Fooladi, Mehdi
5 El-Daou, Mohamed K.
5 Konguetsof, Avrilia
5 Ming, Qinghe
5 Monovasilis, Theodoros
5 Ngwane, Fidele F.
5 Zheng, Juan
4 Aceto, Lidia
4 Berg, Dmitry B.
4 Fedorov, Ruslan V.
4 García-Alonso, Fernando
4 Kovalnogov, Vladislav N.
4 Liu, Shiwei
4 Magherini, Cecilia
4 Panopoulos, G. A.
4 Reyes, José Antonio
4 Sidje, Roger B.
4 Zhang, Ruqiang
3 Chen, Bingzhen
3 Deng, Shuo
3 Ehigie, Julius Osato
3 Esposito, Elena
3 Ghelardoni, Paolo
3 Hoang, Nguyen Si
3 Hollevoet, D.
3 Marletta, Marco
3 Moccaldi, Martina
3 Tang, Chen
3 Wang, Xianfen
3 Wang, Zenggui
3 Yan, Haiqing
3 Yang, Hongli
2 Aminikhah, Hossein
2 Amodio, Pierluigi
2 Charron, Martin
2 Chen, Zhanqing
2 Chen, Zhong
2 Cong, Nguyen Huu
2 Cools, Ronald
2 Erdoğan, Utku
2 Gorbunov, Vladimir K.
2 Hsu, Chieh-Wen
2 Huang, Chengming
2 Hui, Fei
2 Kleefeld, B.
2 Kosmas, Odysseas
2 Luo, Jun
2 Ma, Yu-Yu
2 Medvedeva, Marina A.
2 Mickens, Ronald Elbert
2 Milovanović, Gradimir V.
2 Miyatake, Yuto
2 Mohammadian, Abdolmajid M.
2 Molabahrami, Ahmad
2 Nazari, Farshid
2 Okunuga, Solomon A.
2 Papageorgiou, C. D.
2 Ramos, Alberto Gil Couto Pimentel
2 Raptis, A. D.
2 Santomauro, Giuseppe
2 Settanni, Giuseppina
2 Shizgal, Bernie D.
2 Stanić, Marija P.
2 Tian, Hongjiong
2 Tsitouras, Charalampos
2 Wang, Haiyong
...and 201 more Authors
all top 5

Cited in 55 Serials

132 Journal of Mathematical Chemistry
80 Journal of Computational and Applied Mathematics
57 Computer Physics Communications
27 Applied Mathematics and Computation
25 Numerical Algorithms
22 Applied Numerical Mathematics
13 Computers & Mathematics with Applications
10 Journal of Computational Physics
8 International Journal of Modern Physics C
6 Applied Mathematics Letters
6 International Journal of Computer Mathematics
5 Journal of Scientific Computing
4 BIT
4 Journal of Applied Mathematics
3 Physics Letters. A
3 Mathematics and Computers in Simulation
3 Numerische Mathematik
3 Afrika Matematika
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Molecular Simulation
2 Acta Applicandae Mathematicae
2 Numerical Methods for Partial Differential Equations
2 Applied Mathematical Modelling
2 Computational and Applied Mathematics
2 Advances in Computational Mathematics
2 Mathematical Problems in Engineering
2 Abstract and Applied Analysis
2 Discrete Dynamics in Nature and Society
2 Communications in Nonlinear Science and Numerical Simulation
2 Journal of Numerical Mathematics
2 Mediterranean Journal of Mathematics
2 International Journal of Differential Equations
1 Physics Reports
1 Mathematics of Computation
1 ACM Transactions on Mathematical Software
1 International Journal of Mathematics and Mathematical Sciences
1 SIAM Journal on Numerical Analysis
1 COMPEL
1 Mathematical and Computer Modelling
1 Japan Journal of Industrial and Applied Mathematics
1 Advances in Engineering Software
1 SIAM Journal on Scientific Computing
1 Numerical Linear Algebra with Applications
1 Discrete and Continuous Dynamical Systems
1 Discrete and Continuous Dynamical Systems. Series B
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Advances in Difference Equations
1 Computational & Mathematical Methods in Medicine
1 Journal of Physics A: Mathematical and Theoretical
1 Discrete and Continuous Dynamical Systems. Series S
1 Advances in Mathematical Physics
1 Numerical Algebra, Control and Optimization
1 Axioms
1 Cogent Mathematics
1 Bollettino dell’Unione Matematica Italiana

Citations by Year