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Author ID: dieci.luca Recent zbMATH articles by "Dieci, Luca"
Published as: Dieci, Luca; Dieci, L.
External Links: MGP

Publications by Year

Citations contained in zbMATH Open

87 Publications have been cited 1,092 times in 590 Documents Cited by Year
On smooth decompositions of matrices. Zbl 0930.15014
Dieci, Luca; Eirola, Timo
67
1999
On the computation of Lyapunov exponents for continuous dynamical systems. Zbl 0891.65090
Dieci, Luca; Russell, Robert D.; Van Vleck, Erik S.
66
1997
Unitary integrators and applications to continuous orthonormalization techniques. Zbl 0815.65096
Dieci, Luca; Russell, Robert D.; van Vleck, Erik S.
52
1994
Sliding motion in Filippov differential systems: theoretical results and a computational approach. Zbl 1197.34009
Dieci, Luca; Lopez, Luciano
47
2009
Numerical integration of the differential Riccati equation and some related issues. Zbl 0768.65037
Dieci, Luca
44
1992
A survey of numerical methods for IVPs of ODEs with discontinuous right-hand side. Zbl 1246.65111
Dieci, Luca; Lopez, Luciano
44
2012
Lyapunov spectral intervals: Theory and computation. Zbl 1021.65067
Dieci, Luca; Van Vleck, Erik S.
41
2002
Lyapunov and Sacker-Sell spectral intervals. Zbl 1130.34027
Dieci, Luca; Van Vleck, Erik S.
33
2007
Computation of a few Lyapunov exponents for continuous and discrete dynamical systems. Zbl 0834.65069
Dieci, Luca; van Vleck, Erik S.
33
1995
Sliding motion on discontinuity surfaces of high co-dimension. A construction for selecting a Filippov vector field. Zbl 1219.34015
Dieci, Luca; Lopez, Luciano
32
2011
A Filippov sliding vector field on an attracting co-dimension 2 discontinuity surface, and a limited loss-of-attractivity analysis. Zbl 1275.34018
Dieci, L.; Elia, C.; Lopez, L.
30
2013
Positive definiteness in the numerical solution of Riccati differential equations. Zbl 0791.65050
Dieci, Luca; Eirola, Timo
23
1994
Padé approximation for the exponential of a block triangular matrix. Zbl 0958.65050
Dieci, Luca; Papini, Alessandra
23
2000
Computational techniques for real logarithms of matrices. Zbl 0870.65036
Dieci, Luca; Morini, Benedetta; Papini, Alessandra
22
1996
A Riccati transformation method for solving linear BVPs. I: Theoretical aspects. Zbl 0664.65074
Dieci, Luca; Osborne, Michael R.; Russell, Robert D.
19
1988
On the error in computing Lyapunov exponents by QR methods. Zbl 1083.65069
Dieci, Luca; Van Vleck, Erik S.
19
2005
Fundamental matrix solutions of piecewise smooth differential systems. Zbl 1215.65121
Dieci, Luca; Lopez, Luciano
18
2011
Perturbation theory for approximation of Lyapunov exponents by QR methods. Zbl 1166.34319
Dieci, Luca; Van Vleck, Erik S.
17
2006
Numerical calculation of invariant tori. Zbl 0725.65074
Dieci, Luca; Lorenz, Jens; Russell, Robert D.
17
1991
A comparison of Filippov sliding vector fields in codimension 2. Zbl 1302.34018
Dieci, Luca; Difonzo, Fabio
17
2014
Continuation of invariant subspaces. Zbl 1055.65054
Dieci, L.; Friedman, M. J.
16
2001
The moments sliding vector field on the intersection of two manifolds. Zbl 1366.34024
Dieci, Luca; Difonzo, Fabio
16
2017
Computing connecting orbits via an improved algorithm for continuing invariant subspaces. Zbl 0967.34008
Demmel, J. W.; Dieci, L.; Friedman, M. J.
15
2000
Smoothness and periodicity of some matrix decompositions. Zbl 0981.65048
Chern, Jann-Long; Dieci, Luca
15
2000
Exponential dichotomy on the real line: SVD and QR methods. Zbl 1205.34062
Dieci, Luca; Elia, Cinzia; van Vleck, Erik
15
2010
A Riccati transformation method for solving linear BVPs. II: Computational aspects. Zbl 0664.65075
Dieci, Luca; Osborne, Michael R.; Russell, Robert D.
14
1988
The singular value decomposition to approximate spectra of dynamical systems. Theoretical aspects. Zbl 1139.93014
Dieci, L.; Elia, C.
12
2006
Sliding motion on the intersection of two manifolds: spirally attractive case. Zbl 1463.34050
Dieci, L.
12
2015
Numerical solution of discontinuous differential systems: Approaching the discontinuity surface from one side. Zbl 1268.65093
Dieci, Luca; Lopez, Luciano
12
2013
Two-parameter SVD: coalescing singular values and periodicity. Zbl 1232.65064
Dieci, Luca; Pugliese, Alessandro
12
2009
On the error in QR integration. Zbl 1170.65068
Dieci, Luca; van Vleck, Erik S.
11
2008
Computation of invariant tori by the method of characteristics. Zbl 0928.65154
Dieci, Luca; Lorenz, Jens
11
1995
Point-to-periodic and periodic-to-periodic connections. Zbl 1052.65113
Dieci, Luca; Rebaza, Jorge
11
2004
Periodic orbits for planar piecewise smooth systems with a line of discontinuity. Zbl 1320.34063
Dieci, L.; Elia, C.
11
2014
Block \(M\)-matrices and computation of invariant tori. Zbl 0755.65085
Dieci, Luca; Lorenz, Jens
11
1992
Regularizing piecewise smooth differential systems: co-dimension 2 discontinuity surface. Zbl 1271.34009
Dieci, Luca; Guglielmi, Nicola
11
2013
Entropy dissipation semi-discretization schemes for Fokker-Planck equations. Zbl 1416.65212
Chow, Shui-Nee; Dieci, Luca; Li, Wuchen; Zhou, Haomin
9
2019
Computation of orthonormal factors for fundamental solution matrices. Zbl 0941.65066
Dieci, Luca; Van Vleck, Erik S.
9
1999
Singular values of two-parameter matrices: An algorithm to accurately find their intersections. Zbl 1162.65328
Dieci, Luca; Pugliese, Alessandro
9
2008
Preserving monotonicity in the numerical solution of Riccati differential equations. Zbl 0864.65048
Dieci, Luca; Eirola, Timo
9
1996
Hermitian matrices depending on three parameters: Coalescing eigenvalues. Zbl 1244.15005
Dieci, Luca; Pugliese, Alessandro
8
2012
SVD algorithms to approximate spectra of dynamical systems. Zbl 1166.65363
Dieci, L.; Elia, C.
8
2008
Lyapunov and other spectra: a survey. Zbl 1494.93081
Dieci, L.; Van Vleck, E. S.
8
2002
Detecting exponential dichotomy on the real line: SVD and QR algorithms. Zbl 1228.65123
Dieci, Luca; Elia, Cinzia; Van Vleck, Erik
8
2011
One-sided direct event location techniques in the numerical solution of discontinuous differential systems. Zbl 1338.65181
Dieci, Luca; Lopez, Luciano
8
2015
Limit cycles for regularized discontinuous dynamical systems with a hyperplane of discontinuity. Zbl 1377.34025
Dieci, Luca; Elia, Cinzia; Pi, Dingheng
8
2017
Approximating coalescing points for eigenvalues of Hermitian matrices of three parameters. Zbl 1273.15008
Dieci, Luca; Papini, Alessandra; Pugliese, Alessandro
8
2013
Piecewise smooth systems near a co-dimension 2 discontinuity manifold: can one say what should happen? Zbl 1372.34034
Elia, Cinzia; Dieci, Luca
7
2016
On real logarithms of nearby matrices and structured matrix interpolation. Zbl 0930.65045
Dieci, Luca; Morini, Benedetta; Papini, Alessandra; Pasquali, Aldo
6
1999
Jacobian free computation of Lyapunov exponents. Zbl 1034.37049
Dieci, Luca
6
2002
Conditioning and Padé approximation of the logarithm of a matrix. Zbl 0954.65034
Dieci, Luca; Papini, Alessandra
6
2000
Consideration on computing real logarithms of matrices, Hamiltonian logarithms, and skew-symmetric logarithms. Zbl 0862.65027
Dieci, Luca
6
1996
Smooth SVD on the Lorentz group with application to computation of Lyapunov exponents. Zbl 1047.65108
Dieci, L.; Elia, C.; Lopez, L.
6
2004
A new model for realistic random perturbations of stochastic oscillators. Zbl 1345.34110
Dieci, Luca; Li, Wuchen; Zhou, Haomin
6
2016
Lyapunov-type numbers and torus breakdown: Numerical aspects and a case study. Zbl 0885.65079
Dieci, Luca; Lorenz, Jens
5
1997
Real Hamiltonian logarithm of a symplectic matrix. Zbl 0937.15011
Dieci, Luca
5
1998
Uniqueness of Filippov sliding vector field on the intersection of two surfaces in \(\mathbb R^3\) and implications for stability of periodic orbits. Zbl 1333.34022
Dieci, L.; Elia, C.; Lopez, L.
5
2015
Path following by SVD. Zbl 1157.65374
Dieci, Luca; Gasparo, Maria Grazia; Papini, Alessandra
4
2006
Lyapunov exponents of systems evolving on quadratic groups. Zbl 1037.65079
Dieci, Luca; Lopez, Luciano
4
2003
Block iterations and compactification for periodic block dominant systems associated to invariant tori approximation. Zbl 0831.65035
Dieci, Luca; Bader, Georg
4
1995
Erratum: Point-to-periodic and periodic-to-periodic connections. Zbl 1075.65145
Dieci, Luca; Rebaza, Jorge
4
2004
Applications of smooth orthogonal factorizations of matrices. Zbl 0958.65139
Dieci, Luca; Eirola, Timo
3
2000
Solution of the systems associated with invariant tori approximation. II: Multigrid methods. Zbl 0840.65099
Dieci, Luca; Bader, Georg
3
1994
Conditioning of the exponential of a block triangular matrix. Zbl 0992.65042
Dieci, Luca; Papini, Alessandra
3
2001
Smooth singular value decomposition on the symplectic group and Lyapunov exponents approximation. Zbl 1117.65052
Dieci, Luca; Lopez, Luciano
3
2006
A continuation multiple shooting method for Wasserstein geodesic equation. Zbl 1498.49087
Cui, Jianbo; Dieci, Luca; Zhou, Haomin
3
2022
Sharp sufficient attractivity conditions for sliding on a co-dimension 2 discontinuity surface. Zbl 07313342
Dieci, L.; Elia, C.; Lopez, L.
3
2015
Locating coalescing singular values of large two-parameter matrices. Zbl 1210.65089
Dieci, Luca; Gasparo, M. Grazia; Papini, Alessandra; Pugliese, Alessandro
3
2011
On the inverse of some sign matrices and on the moments sliding vector field on the intersection of several manifolds: nodally attractive case. Zbl 1383.34024
Dieci, Luca; Difonzo, Fabio
3
2017
Numerical solution of eigenvalue problems for linear boundary value ODEs. Zbl 0726.65101
Bramley, S.; Dieci, L.; Russell, R. D.
3
1991
Some stability aspects of schemes for the adaptive integration of stiff initial value problems. Zbl 0738.65072
Dieci, Luca; Estep, Donald
3
1991
The boundary method for semi-discrete optimal transport partitions and Wasserstein distance computation. Zbl 1432.65080
Dieci, Luca; Walsh, J. D. III
3
2019
Coalescing points for eigenvalues of banded matrices depending on parameters with application to banded random matrix functions. Zbl 1448.65026
Dieci, Luca; Papini, Alessandra; Pugliese, Alessandro
2
2019
Continuation of singular value decompositions. Zbl 1170.65313
Gasparo, Maria Grazia; Dieci, Luca; Papini, Alessandra
2
2005
Error in approximation of Lyapunov exponents on intertial manifolds: the Kuramoto-Sivashinsky equation. Zbl 1162.35401
Dieci, L.; Jolly, M. S.; Rosa, R.; Van Vleck, E. S.
2
2008
Riccati and other methods for singularly perturbed BVP. Zbl 0672.65072
Dieci, Luca; Russell, Robert D.
2
1986
On Filippov solutions of discontinuous DAEs of index 1. Zbl 1468.34022
Dieci, L.; Elia, C.; Lopez, Luciano
2
2021
Sliding integration with no projection. Zbl 1437.65071
Dieci, Luca
2
2020
Time discretizations of Wasserstein-Hamiltonian flows. Zbl 1497.65255
Cui, Jianbo; Dieci, Luca; Zhou, Haomin
2
2022
Minimum variation solutions for sliding vector fields on the intersection of two surfaces in \(\mathbb{R}^3\). Zbl 1335.34035
Dieci, Luca; Difonzo, Fabio
2
2016
Periodic orbits of planar discontinuous system under discretization. Zbl 1398.65200
Dieci, Luca; Eirola, Timo; Elia, Cinzia
2
2018
On the decoupling of dichotomic linear Hamiltonians. Considerations on integrating symmetric differential Riccati equations. Zbl 0780.65036
Dieci, Luca
1
1993
Continuous orthonormalization for linear two-point boundary value problems revisited. Zbl 0942.65084
Dieci, Luca; van Vleck, Erik S.
1
2000
A geometrical method for the approximation of invariant tori. Zbl 1139.37013
Rasmussen, Bryan; Dieci, Luca
1
2008
Smoothness of Hessenberg and bidiagonal forms. Zbl 1164.65015
Dieci, Luca; Gasparo, Maria Grazia; Papini, Alessandra
1
2008
Continuous decompositions and coalescing eigenvalues for matrices depending on parameters. Zbl 1318.15004
Dieci, Luca; Papini, Alessandra; Pugliese, Alessandro; Spadoni, Alessandro
1
2014
Smooth to discontinuous systems: a geometric and numerical method for slow-fast dynamics. Zbl 1398.65201
Dieci, Luca; Elia, Cinzia
1
2018
A continuation multiple shooting method for Wasserstein geodesic equation. Zbl 1498.49087
Cui, Jianbo; Dieci, Luca; Zhou, Haomin
3
2022
Time discretizations of Wasserstein-Hamiltonian flows. Zbl 1497.65255
Cui, Jianbo; Dieci, Luca; Zhou, Haomin
2
2022
On Filippov solutions of discontinuous DAEs of index 1. Zbl 1468.34022
Dieci, L.; Elia, C.; Lopez, Luciano
2
2021
Sliding integration with no projection. Zbl 1437.65071
Dieci, Luca
2
2020
Entropy dissipation semi-discretization schemes for Fokker-Planck equations. Zbl 1416.65212
Chow, Shui-Nee; Dieci, Luca; Li, Wuchen; Zhou, Haomin
9
2019
The boundary method for semi-discrete optimal transport partitions and Wasserstein distance computation. Zbl 1432.65080
Dieci, Luca; Walsh, J. D. III
3
2019
Coalescing points for eigenvalues of banded matrices depending on parameters with application to banded random matrix functions. Zbl 1448.65026
Dieci, Luca; Papini, Alessandra; Pugliese, Alessandro
2
2019
Periodic orbits of planar discontinuous system under discretization. Zbl 1398.65200
Dieci, Luca; Eirola, Timo; Elia, Cinzia
2
2018
Smooth to discontinuous systems: a geometric and numerical method for slow-fast dynamics. Zbl 1398.65201
Dieci, Luca; Elia, Cinzia
1
2018
The moments sliding vector field on the intersection of two manifolds. Zbl 1366.34024
Dieci, Luca; Difonzo, Fabio
16
2017
Limit cycles for regularized discontinuous dynamical systems with a hyperplane of discontinuity. Zbl 1377.34025
Dieci, Luca; Elia, Cinzia; Pi, Dingheng
8
2017
On the inverse of some sign matrices and on the moments sliding vector field on the intersection of several manifolds: nodally attractive case. Zbl 1383.34024
Dieci, Luca; Difonzo, Fabio
3
2017
Piecewise smooth systems near a co-dimension 2 discontinuity manifold: can one say what should happen? Zbl 1372.34034
Elia, Cinzia; Dieci, Luca
7
2016
A new model for realistic random perturbations of stochastic oscillators. Zbl 1345.34110
Dieci, Luca; Li, Wuchen; Zhou, Haomin
6
2016
Minimum variation solutions for sliding vector fields on the intersection of two surfaces in \(\mathbb{R}^3\). Zbl 1335.34035
Dieci, Luca; Difonzo, Fabio
2
2016
Sliding motion on the intersection of two manifolds: spirally attractive case. Zbl 1463.34050
Dieci, L.
12
2015
One-sided direct event location techniques in the numerical solution of discontinuous differential systems. Zbl 1338.65181
Dieci, Luca; Lopez, Luciano
8
2015
Uniqueness of Filippov sliding vector field on the intersection of two surfaces in \(\mathbb R^3\) and implications for stability of periodic orbits. Zbl 1333.34022
Dieci, L.; Elia, C.; Lopez, L.
5
2015
Sharp sufficient attractivity conditions for sliding on a co-dimension 2 discontinuity surface. Zbl 07313342
Dieci, L.; Elia, C.; Lopez, L.
3
2015
A comparison of Filippov sliding vector fields in codimension 2. Zbl 1302.34018
Dieci, Luca; Difonzo, Fabio
17
2014
Periodic orbits for planar piecewise smooth systems with a line of discontinuity. Zbl 1320.34063
Dieci, L.; Elia, C.
11
2014
Continuous decompositions and coalescing eigenvalues for matrices depending on parameters. Zbl 1318.15004
Dieci, Luca; Papini, Alessandra; Pugliese, Alessandro; Spadoni, Alessandro
1
2014
A Filippov sliding vector field on an attracting co-dimension 2 discontinuity surface, and a limited loss-of-attractivity analysis. Zbl 1275.34018
Dieci, L.; Elia, C.; Lopez, L.
30
2013
Numerical solution of discontinuous differential systems: Approaching the discontinuity surface from one side. Zbl 1268.65093
Dieci, Luca; Lopez, Luciano
12
2013
Regularizing piecewise smooth differential systems: co-dimension 2 discontinuity surface. Zbl 1271.34009
Dieci, Luca; Guglielmi, Nicola
11
2013
Approximating coalescing points for eigenvalues of Hermitian matrices of three parameters. Zbl 1273.15008
Dieci, Luca; Papini, Alessandra; Pugliese, Alessandro
8
2013
A survey of numerical methods for IVPs of ODEs with discontinuous right-hand side. Zbl 1246.65111
Dieci, Luca; Lopez, Luciano
44
2012
Hermitian matrices depending on three parameters: Coalescing eigenvalues. Zbl 1244.15005
Dieci, Luca; Pugliese, Alessandro
8
2012
Sliding motion on discontinuity surfaces of high co-dimension. A construction for selecting a Filippov vector field. Zbl 1219.34015
Dieci, Luca; Lopez, Luciano
32
2011
Fundamental matrix solutions of piecewise smooth differential systems. Zbl 1215.65121
Dieci, Luca; Lopez, Luciano
18
2011
Detecting exponential dichotomy on the real line: SVD and QR algorithms. Zbl 1228.65123
Dieci, Luca; Elia, Cinzia; Van Vleck, Erik
8
2011
Locating coalescing singular values of large two-parameter matrices. Zbl 1210.65089
Dieci, Luca; Gasparo, M. Grazia; Papini, Alessandra; Pugliese, Alessandro
3
2011
Exponential dichotomy on the real line: SVD and QR methods. Zbl 1205.34062
Dieci, Luca; Elia, Cinzia; van Vleck, Erik
15
2010
Sliding motion in Filippov differential systems: theoretical results and a computational approach. Zbl 1197.34009
Dieci, Luca; Lopez, Luciano
47
2009
Two-parameter SVD: coalescing singular values and periodicity. Zbl 1232.65064
Dieci, Luca; Pugliese, Alessandro
12
2009
On the error in QR integration. Zbl 1170.65068
Dieci, Luca; van Vleck, Erik S.
11
2008
Singular values of two-parameter matrices: An algorithm to accurately find their intersections. Zbl 1162.65328
Dieci, Luca; Pugliese, Alessandro
9
2008
SVD algorithms to approximate spectra of dynamical systems. Zbl 1166.65363
Dieci, L.; Elia, C.
8
2008
Error in approximation of Lyapunov exponents on intertial manifolds: the Kuramoto-Sivashinsky equation. Zbl 1162.35401
Dieci, L.; Jolly, M. S.; Rosa, R.; Van Vleck, E. S.
2
2008
A geometrical method for the approximation of invariant tori. Zbl 1139.37013
Rasmussen, Bryan; Dieci, Luca
1
2008
Smoothness of Hessenberg and bidiagonal forms. Zbl 1164.65015
Dieci, Luca; Gasparo, Maria Grazia; Papini, Alessandra
1
2008
Lyapunov and Sacker-Sell spectral intervals. Zbl 1130.34027
Dieci, Luca; Van Vleck, Erik S.
33
2007
Perturbation theory for approximation of Lyapunov exponents by QR methods. Zbl 1166.34319
Dieci, Luca; Van Vleck, Erik S.
17
2006
The singular value decomposition to approximate spectra of dynamical systems. Theoretical aspects. Zbl 1139.93014
Dieci, L.; Elia, C.
12
2006
Path following by SVD. Zbl 1157.65374
Dieci, Luca; Gasparo, Maria Grazia; Papini, Alessandra
4
2006
Smooth singular value decomposition on the symplectic group and Lyapunov exponents approximation. Zbl 1117.65052
Dieci, Luca; Lopez, Luciano
3
2006
On the error in computing Lyapunov exponents by QR methods. Zbl 1083.65069
Dieci, Luca; Van Vleck, Erik S.
19
2005
Continuation of singular value decompositions. Zbl 1170.65313
Gasparo, Maria Grazia; Dieci, Luca; Papini, Alessandra
2
2005
Point-to-periodic and periodic-to-periodic connections. Zbl 1052.65113
Dieci, Luca; Rebaza, Jorge
11
2004
Smooth SVD on the Lorentz group with application to computation of Lyapunov exponents. Zbl 1047.65108
Dieci, L.; Elia, C.; Lopez, L.
6
2004
Erratum: Point-to-periodic and periodic-to-periodic connections. Zbl 1075.65145
Dieci, Luca; Rebaza, Jorge
4
2004
Lyapunov exponents of systems evolving on quadratic groups. Zbl 1037.65079
Dieci, Luca; Lopez, Luciano
4
2003
Lyapunov spectral intervals: Theory and computation. Zbl 1021.65067
Dieci, Luca; Van Vleck, Erik S.
41
2002
Lyapunov and other spectra: a survey. Zbl 1494.93081
Dieci, L.; Van Vleck, E. S.
8
2002
Jacobian free computation of Lyapunov exponents. Zbl 1034.37049
Dieci, Luca
6
2002
Continuation of invariant subspaces. Zbl 1055.65054
Dieci, L.; Friedman, M. J.
16
2001
Conditioning of the exponential of a block triangular matrix. Zbl 0992.65042
Dieci, Luca; Papini, Alessandra
3
2001
Padé approximation for the exponential of a block triangular matrix. Zbl 0958.65050
Dieci, Luca; Papini, Alessandra
23
2000
Computing connecting orbits via an improved algorithm for continuing invariant subspaces. Zbl 0967.34008
Demmel, J. W.; Dieci, L.; Friedman, M. J.
15
2000
Smoothness and periodicity of some matrix decompositions. Zbl 0981.65048
Chern, Jann-Long; Dieci, Luca
15
2000
Conditioning and Padé approximation of the logarithm of a matrix. Zbl 0954.65034
Dieci, Luca; Papini, Alessandra
6
2000
Applications of smooth orthogonal factorizations of matrices. Zbl 0958.65139
Dieci, Luca; Eirola, Timo
3
2000
Continuous orthonormalization for linear two-point boundary value problems revisited. Zbl 0942.65084
Dieci, Luca; van Vleck, Erik S.
1
2000
On smooth decompositions of matrices. Zbl 0930.15014
Dieci, Luca; Eirola, Timo
67
1999
Computation of orthonormal factors for fundamental solution matrices. Zbl 0941.65066
Dieci, Luca; Van Vleck, Erik S.
9
1999
On real logarithms of nearby matrices and structured matrix interpolation. Zbl 0930.65045
Dieci, Luca; Morini, Benedetta; Papini, Alessandra; Pasquali, Aldo
6
1999
Real Hamiltonian logarithm of a symplectic matrix. Zbl 0937.15011
Dieci, Luca
5
1998
On the computation of Lyapunov exponents for continuous dynamical systems. Zbl 0891.65090
Dieci, Luca; Russell, Robert D.; Van Vleck, Erik S.
66
1997
Lyapunov-type numbers and torus breakdown: Numerical aspects and a case study. Zbl 0885.65079
Dieci, Luca; Lorenz, Jens
5
1997
Computational techniques for real logarithms of matrices. Zbl 0870.65036
Dieci, Luca; Morini, Benedetta; Papini, Alessandra
22
1996
Preserving monotonicity in the numerical solution of Riccati differential equations. Zbl 0864.65048
Dieci, Luca; Eirola, Timo
9
1996
Consideration on computing real logarithms of matrices, Hamiltonian logarithms, and skew-symmetric logarithms. Zbl 0862.65027
Dieci, Luca
6
1996
Computation of a few Lyapunov exponents for continuous and discrete dynamical systems. Zbl 0834.65069
Dieci, Luca; van Vleck, Erik S.
33
1995
Computation of invariant tori by the method of characteristics. Zbl 0928.65154
Dieci, Luca; Lorenz, Jens
11
1995
Block iterations and compactification for periodic block dominant systems associated to invariant tori approximation. Zbl 0831.65035
Dieci, Luca; Bader, Georg
4
1995
Unitary integrators and applications to continuous orthonormalization techniques. Zbl 0815.65096
Dieci, Luca; Russell, Robert D.; van Vleck, Erik S.
52
1994
Positive definiteness in the numerical solution of Riccati differential equations. Zbl 0791.65050
Dieci, Luca; Eirola, Timo
23
1994
Solution of the systems associated with invariant tori approximation. II: Multigrid methods. Zbl 0840.65099
Dieci, Luca; Bader, Georg
3
1994
On the decoupling of dichotomic linear Hamiltonians. Considerations on integrating symmetric differential Riccati equations. Zbl 0780.65036
Dieci, Luca
1
1993
Numerical integration of the differential Riccati equation and some related issues. Zbl 0768.65037
Dieci, Luca
44
1992
Block \(M\)-matrices and computation of invariant tori. Zbl 0755.65085
Dieci, Luca; Lorenz, Jens
11
1992
Numerical calculation of invariant tori. Zbl 0725.65074
Dieci, Luca; Lorenz, Jens; Russell, Robert D.
17
1991
Numerical solution of eigenvalue problems for linear boundary value ODEs. Zbl 0726.65101
Bramley, S.; Dieci, L.; Russell, R. D.
3
1991
Some stability aspects of schemes for the adaptive integration of stiff initial value problems. Zbl 0738.65072
Dieci, Luca; Estep, Donald
3
1991
A Riccati transformation method for solving linear BVPs. I: Theoretical aspects. Zbl 0664.65074
Dieci, Luca; Osborne, Michael R.; Russell, Robert D.
19
1988
A Riccati transformation method for solving linear BVPs. II: Computational aspects. Zbl 0664.65075
Dieci, Luca; Osborne, Michael R.; Russell, Robert D.
14
1988
Riccati and other methods for singularly perturbed BVP. Zbl 0672.65072
Dieci, Luca; Russell, Robert D.
2
1986
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Cited by 909 Authors

50 Dieci, Luca
21 Lopez, Luciano
19 Van Vleck, Erik S.
15 Elia, Cinzia
10 Pugliese, Alessandro
9 Ibáñez González, Jacinto Javier
8 Guglielmi, Nicola
7 Blanes, Sergio
7 Difonzo, Fabio Vito
7 Jeffrey, Mike R.
7 Politi, Tiziano
6 Beyn, Wolf-Jürgen
6 Carbonell, Felix
6 Del Buono, Nicoletta
6 Hüls, Thorsten
6 Jimenez, Juan Carlos
6 Kuznetsov, Yuri Alexandrovich
6 Papini, Alessandra
6 Pi, Dingheng
6 Zhou, Hao-Min
5 Berardi, Marco
5 Doedel, Eusebius J.
5 Garrappa, Roberto
5 Hairer, Ernst
5 Hernández, Vicente G.
5 Li, Wuchen
5 Mehrmann, Volker
5 Ponsoda, Enrique
5 Pötzsche, Christian
5 Steyer, Andrew J.
5 Zanna, Antonella
4 Antali, Mate
4 Biscay, Rolando J.
4 Cardoso, João R.
4 Czornik, Adam
4 Danca, Marius-Florin
4 Defez, Emilio
4 Govaerts, Willy J. F.
4 Kacewicz, Bolesław Z.
4 Kooi, Bob W.
4 Kuo, Yueh-Cheng
4 Li, Rencang
4 Linh, Vu Hoang
4 Mastroserio, Carmela
4 Mease, Kenneth D.
4 Mena, Hermann
4 Peinado, Jesús
4 Shieh, Shih-Feng
4 Uhlig, Frank
4 van Voorn, George A. K.
4 von Bremen, Hubertus F.
3 Arias, Enrique
3 Bader, Philipp
3 Benner, Peter
3 Breda, Dimitri
3 Bridges, Thomas J.
3 Carbajal-Gómez, V. H.
3 Chen, Guanggan
3 Chow, Shui-Nee
3 Cui, Jianbo
3 Doan, Thai Son
3 Fečkan, Michal
3 Feppon, Florian
3 Friedman, Mark J.
3 Higham, Nicholas J.
3 Hosham, Hany A.
3 Humpherys, Jeffrey
3 Iserles, Arieh
3 Jódar Sanchez, Lucas Antonio
3 Jorba, Àngel
3 Kressner, Daniel
3 Kuznetsov, Nikolay Vladimirovich
3 Lermusiaux, Pierre F. J.
3 Lessard, Jean-Philippe
3 Li, Dongping
3 Lu, Ya Yan
3 Lubich, Christian
3 Luo, Albert C. J.
3 Maset, Stefano
3 Meijer, Hil G. E.
3 Palmer, Kenneth James
3 Przybyłowicz, Paweł
3 Saak, Jens
3 Silva Leite, Fátima
3 Simó, Carles
3 Simpson, David John Warwick
3 Tsyganova, Yuliya Vladimirovna
3 Udwadia, Firdaus E.
3 Wiggins, Stephen R.
3 Yang, Min
2 Absil, Pierre-Antoine
2 Alonso-Jordá, Pedro
2 Alonso, Jose Miguel
2 Anh, Pham The
2 Ascher, Uri M.
2 Aykutlug, Erkut
2 Babiarz, Artur
2 Berkolaiko, Gregory
2 Bizzarri, Federico
2 Boer, Martin P.
...and 809 more Authors
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Cited in 156 Serials

46 Journal of Computational and Applied Mathematics
26 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
25 Linear Algebra and its Applications
24 Applied Mathematics and Computation
21 Applied Numerical Mathematics
20 Physica D
19 SIAM Journal on Applied Dynamical Systems
17 Mathematics and Computers in Simulation
17 Journal of Dynamics and Differential Equations
15 Numerische Mathematik
14 SIAM Journal on Matrix Analysis and Applications
14 Discrete and Continuous Dynamical Systems. Series B
12 BIT
11 Journal of Computational Physics
11 Nonlinear Dynamics
11 Communications in Nonlinear Science and Numerical Simulation
9 Chaos, Solitons and Fractals
9 Numerical Algorithms
8 Computers & Mathematics with Applications
8 Automatica
7 Journal of Differential Equations
7 Journal of Scientific Computing
6 Mathematics of Computation
6 SIAM Journal on Control and Optimization
6 Chaos
5 Journal of the Franklin Institute
5 Journal of Mathematical Analysis and Applications
5 Mathematical and Computer Modelling
4 Computer Methods in Applied Mechanics and Engineering
4 Journal of Mathematical Physics
4 Calcolo
4 Applied Mathematics Letters
4 SIAM Journal on Scientific Computing
4 Advances in Computational Mathematics
3 Computer Physics Communications
3 Journal of Fluid Mechanics
3 SIAM Journal on Numerical Analysis
3 Systems & Control Letters
3 SIAM Journal on Applied Mathematics
3 Journal of Nonlinear Science
3 Discrete and Continuous Dynamical Systems
3 ELA. The Electronic Journal of Linear Algebra
3 Journal of Dynamical and Control Systems
3 Qualitative Theory of Dynamical Systems
3 Dynamical Systems
3 Nonlinear Analysis. Hybrid Systems
3 Journal of Applied Analysis and Computation
3 Journal of Computational Dynamics
2 Biological Cybernetics
2 International Journal of Control
2 Linear and Multilinear Algebra
2 Mathematical Biosciences
2 Physics Reports
2 Wave Motion
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Computing
2 Journal of Econometrics
2 Journal of Economic Dynamics & Control
2 European Journal of Applied Mathematics
2 SIAM Review
2 International Journal of Robust and Nonlinear Control
2 Numerical Linear Algebra with Applications
2 ETNA. Electronic Transactions on Numerical Analysis
2 Journal of Difference Equations and Applications
2 Mathematical and Computer Modelling of Dynamical Systems
2 Regular and Chaotic Dynamics
2 Foundations of Computational Mathematics
2 Advanced Nonlinear Studies
2 Entropy
2 Journal of Numerical Mathematics
2 Mediterranean Journal of Mathematics
2 International Journal of Biomathematics
1 Inverse Problems
1 Journal of Mathematical Biology
1 Journal of Statistical Physics
1 Mathematical Methods in the Applied Sciences
1 Mathematical Notes
1 Nonlinearity
1 ACM Transactions on Mathematical Software
1 Demonstratio Mathematica
1 International Journal of Mathematics and Mathematical Sciences
1 Integral Equations and Operator Theory
1 International Journal for Numerical Methods in Engineering
1 Journal of Optimization Theory and Applications
1 Kybernetika
1 Mathematische Annalen
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Circuits, Systems, and Signal Processing
1 Computer Aided Geometric Design
1 Optimization
1 Journal of Complexity
1 Journal of Economics
1 Information and Computation
1 Japan Journal of Industrial and Applied Mathematics
1 Computational Mathematics and Mathematical Physics
1 European Journal of Operational Research
1 International Journal of Computer Mathematics
1 Stochastic Processes and their Applications
1 Computational Statistics and Data Analysis
1 Mathematical Programming. Series A. Series B
...and 56 more Serials
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Cited in 43 Fields

313 Numerical analysis (65-XX)
251 Ordinary differential equations (34-XX)
166 Dynamical systems and ergodic theory (37-XX)
87 Linear and multilinear algebra; matrix theory (15-XX)
75 Systems theory; control (93-XX)
36 Partial differential equations (35-XX)
34 Mechanics of particles and systems (70-XX)
27 Calculus of variations and optimal control; optimization (49-XX)
27 Fluid mechanics (76-XX)
27 Biology and other natural sciences (92-XX)
23 Probability theory and stochastic processes (60-XX)
14 Operator theory (47-XX)
14 Statistics (62-XX)
13 Mechanics of deformable solids (74-XX)
12 Quantum theory (81-XX)
12 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
11 Approximations and expansions (41-XX)
11 Computer science (68-XX)
9 Difference and functional equations (39-XX)
8 Topological groups, Lie groups (22-XX)
7 Differential geometry (53-XX)
6 Statistical mechanics, structure of matter (82-XX)
6 Geophysics (86-XX)
6 Operations research, mathematical programming (90-XX)
6 Information and communication theory, circuits (94-XX)
5 Global analysis, analysis on manifolds (58-XX)
4 Real functions (26-XX)
3 Manifolds and cell complexes (57-XX)
2 Combinatorics (05-XX)
2 Algebraic geometry (14-XX)
2 Nonassociative rings and algebras (17-XX)
2 Special functions (33-XX)
2 Functional analysis (46-XX)
2 Geometry (51-XX)
2 Convex and discrete geometry (52-XX)
1 Number theory (11-XX)
1 Functions of a complex variable (30-XX)
1 Integral transforms, operational calculus (44-XX)
1 Integral equations (45-XX)
1 General topology (54-XX)
1 Algebraic topology (55-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Astronomy and astrophysics (85-XX)

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