-
1
-
-
46149127934
-
The Variational Method for the Calculation of Ro-vibrational Energy Levels
-
Carter, S.; Handy, N. The Variational Method for the Calculation of Ro-vibrational Energy Levels Comput. Phys. Rep. 1986, 5 (3) 117-171 10.1016/0167-7977(86)90006-7
-
(1986)
Comput. Phys. Rep.
, vol.5
, Issue.3
, pp. 117-171
-
-
Carter, S.1
Handy, N.2
-
2
-
-
0007319619
-
The Calculation of the Vibration-rotation Energies of Triatomic Molecules Using Scattering Coordinates
-
Tennyson, J. The Calculation of the Vibration-rotation Energies of Triatomic Molecules Using Scattering Coordinates Comput. Phys. Rep. 1986, 4 (1) 1-36 10.1016/0167-7977(86)90005-5
-
(1986)
Comput. Phys. Rep.
, vol.4
, Issue.1
, pp. 1-36
-
-
Tennyson, J.1
-
3
-
-
0001800310
-
Variational and Perturbative Descriptions of Highly Vibrationally Excited Molecules
-
Sibert, E. L. Variational and Perturbative Descriptions of Highly Vibrationally Excited Molecules Int. Rev. Phys. Chem. 1990, 9 (1) 1-27 10.1080/01442359009353236
-
(1990)
Int. Rev. Phys. Chem.
, vol.9
, Issue.1
, pp. 1-27
-
-
Sibert, E.L.1
-
4
-
-
0000690504
-
Theoretical Methods for Rovibrational States of Floppy Molecules
-
Bacic, Z.; Light, J. Theoretical Methods for Rovibrational States of Floppy Molecules Annu. Rev. Phys. Chem. 1989, 40, 469-498 10.1146/annurev.pc.40.100189.002345
-
(1989)
Annu. Rev. Phys. Chem.
, vol.40
, pp. 469-498
-
-
Bacic, Z.1
Light, J.2
-
5
-
-
56049095799
-
Variational Quantum Approaches for Computing Vibrational Energies of Polyatomic Molecules
-
Bowman, J. M.; Carrington, T., Jr.; Meyer, H.-D. Variational Quantum Approaches for Computing Vibrational Energies of Polyatomic Molecules Mol. Phys. 2008, 106, 2145-2182 10.1080/00268970802258609
-
(2008)
Mol. Phys.
, vol.106
, pp. 2145-2182
-
-
Bowman, J.M.1
Carrington, T.2
Meyer, H.-D.3
-
6
-
-
36549095147
-
New Method for Calculating Wave Packet Dynamics: Strongly Coupled Surfaces and the Adiabatic Basis
-
Manthe, U.; Koppel, H. New Method for Calculating Wave Packet Dynamics: Strongly Coupled Surfaces and the Adiabatic Basis J. Chem. Phys. 1990, 93 (1) 345-356 10.1063/1.459606
-
(1990)
J. Chem. Phys.
, vol.93
, Issue.1
, pp. 345-356
-
-
Manthe, U.1
Koppel, H.2
-
7
-
-
0000112124
-
A General Discrete Variable Method to Calculate Vibrational Energy Levels of Three- and Four-atom Molecules
-
Bramley, M. J.; Carrington, T., Jr. A General Discrete Variable Method to Calculate Vibrational Energy Levels of Three- and Four-atom Molecules J. Chem. Phys. 1993, 99 (11) 8519-8541 10.1063/1.465576
-
(1993)
J. Chem. Phys.
, vol.99
, Issue.11
, pp. 8519-8541
-
-
Bramley, M.J.1
Carrington, T.2
-
8
-
-
33646911103
-
The Calculation of Vibrational Eigenstates by MINRES Filter Diagonalization
-
Yu, H.-G.; Smith, S. C. The Calculation of Vibrational Eigenstates By MINRES Filter Diagonalization Ber. Bunsen-Ges. Phys. Chem. 1997, 101, 400 10.1002/bbpc.19971010312
-
(1997)
Ber. Bunsen-Ges. Phys. Chem.
, vol.101
, pp. 400
-
-
Yu, H.-G.1
Smith, S.C.2
-
9
-
-
0032050225
-
Discrete Energy Representation and Generalized Propagation of Physical Systems
-
Chen, R.; Guo, H. Discrete Energy Representation and Generalized Propagation of Physical Systems J. Chem. Phys. 1998, 108, 6068 10.1063/1.476017
-
(1998)
J. Chem. Phys.
, vol.108
, pp. 6068
-
-
Chen, R.1
Guo, H.2
-
10
-
-
79951896007
-
Nitrous Oxide Dimer: A New Potential Energy Surface and Rovibrational Spectrum of the Nonpolar Isomer
-
Dawes, R.; Wang, X.-G.; Jasper, A. W.; Carrington, T., Jr. Nitrous Oxide Dimer: A New Potential Energy Surface and Rovibrational Spectrum of the Nonpolar Isomer J. Chem. Phys. 2010, 133 (13) 134304 10.1063/1.3494542
-
(2010)
J. Chem. Phys.
, vol.133
, Issue.13
, pp. 134304
-
-
Dawes, R.1
Wang, X.-G.2
Jasper, A.W.3
Carrington, T.4
-
11
-
-
84875140160
-
Computing Ro-vibrational Levels of Methane with Internal Vibrational Coordinates and an Eckart Frame
-
Wang, X.-G.; Carrington, T. Computing Ro-vibrational Levels of Methane With Internal Vibrational Coordinates and an Eckart Frame J. Chem. Phys. 2013, 138, 104106 10.1063/1.4793474
-
(2013)
J. Chem. Phys.
, vol.138
, pp. 104106
-
-
Wang, X.-G.1
Carrington, T.2
-
12
-
-
0001349213
-
Calculating Rovibrational Energy Levels of a Triatomic Molecule with a Simple Lanczos Method
-
Sarkar, P.; Poulin, N.; Carrington, T., Jr. Calculating Rovibrational Energy Levels of a Triatomic Molecule With a Simple Lanczos Method J. Chem. Phys. 1999, 110 (21) 10269-10274 10.1063/1.478960
-
(1999)
J. Chem. Phys.
, vol.110
, Issue.21
, pp. 10269-10274
-
-
Sarkar, P.1
Poulin, N.2
Carrington, T.3
-
13
-
-
0000082199
-
A Comparison of Filter Diagonalisation Methods with the Lanczos Method for Calculating Vibrational Energy Levels
-
Huang, S. W.; Carrington, T. A Comparison of Filter Diagonalisation Methods With the Lanczos Method for Calculating Vibrational Energy Levels Chem. Phys. Lett. 1999, 312, 311-318 10.1016/S0009-2614(99)00889-1
-
(1999)
Chem. Phys. Lett.
, vol.312
, pp. 311-318
-
-
Huang, S.W.1
Carrington, T.2
-
15
-
-
36449005322
-
A Truncation/Recoupling Method for Basis Set Calculations of Eigenvalues and Eigenvectors
-
Bowman, J. M.; Gazdy, B. A Truncation/Recoupling Method for Basis Set Calculations of Eigenvalues and Eigenvectors J. Chem. Phys. 1991, 94 (1) 454-460 10.1063/1.460361
-
(1991)
J. Chem. Phys.
, vol.94
, Issue.1
, pp. 454-460
-
-
Bowman, J.M.1
Gazdy, B.2
-
17
-
-
0036008167
-
Discrete Variable Approaches to Tetratomic Molecules: Part I: DVR(6) and DVR(3)+DGB Methods
-
Mladenović, M. Discrete Variable Approaches to Tetratomic Molecules: Part I: DVR(6) and DVR(3)+DGB Methods Spectrochim. Acta, Part A 2002, 58 (4) 795-807 10.1016/S1386-1425(01)00669-2
-
(2002)
Spectrochim. Acta, Part A
, vol.58
, Issue.4
, pp. 795-807
-
-
Mladenović, M.1
-
19
-
-
0034224637
-
6D Vibrational Quantum Dynamics: Generalized Coordinate Discrete Variable Representation and (A)diabatic Contraction
-
Luckhaus, D. 6D Vibrational Quantum Dynamics: Generalized Coordinate Discrete Variable Representation and (A)diabatic Contraction J. Chem. Phys. 2000, 113 (4) 1329-1347 10.1063/1.481924
-
(2000)
J. Chem. Phys.
, vol.113
, Issue.4
, pp. 1329-1347
-
-
Luckhaus, D.1
-
20
-
-
2542553937
-
A Variational Method for the Determination of the Vibrational (J = 0) Energy Levels of Acetylene, Using a Hamiltonian in Internal Coordinates
-
Carter, S.; Handy, N. A Variational Method for the Determination of the Vibrational (J = 0) Energy Levels of Acetylene, Using a Hamiltonian in Internal Coordinates Comput. Phys. Commun. 1988, 51, 49-58 10.1016/0010-4655(88)90061-6
-
(1988)
Comput. Phys. Commun.
, vol.51
, pp. 49-58
-
-
Carter, S.1
Handy, N.2
-
21
-
-
36449007316
-
Calculation of Triatomic Vibrational Eigenstates: Product or Contracted Basis Sets, Lanczos or Conventional Eigensolvers? What Is the Most Efficient Combination?
-
Bramley, M. J.; Carrington, T. Calculation of Triatomic Vibrational Eigenstates: Product or Contracted Basis Sets, Lanczos or Conventional Eigensolvers? What Is the Most Efficient Combination? J. Chem. Phys. 1994, 101 (10) 8494-8507 10.1063/1.468110
-
(1994)
J. Chem. Phys.
, vol.101
, Issue.10
, pp. 8494-8507
-
-
Bramley, M.J.1
Carrington, T.2
-
22
-
-
0035829674
-
Ab Initio Prediction of the Vibrational-rotational Energy Levels of Hydrogen Peroxide and its Isotopomers
-
Koput, J.; Carter, S.; Handy, N. C. Ab Initio Prediction of the Vibrational-rotational Energy Levels of Hydrogen Peroxide and its Isotopomers J. Chem. Phys. 2001, 115 (18) 8345-8350 10.1063/1.1410976
-
(2001)
J. Chem. Phys.
, vol.115
, Issue.18
, pp. 8345-8350
-
-
Koput, J.1
Carter, S.2
Handy, N.C.3
-
23
-
-
0037109591
-
New Ideas for Using Contracted Basis Functions with a Lanczos Eigensolver for Computing Vibrational Spectra of Molecules with Four or More Atoms
-
Wang, X.-G.; Carrington, T. New Ideas for Using Contracted Basis Functions With a Lanczos Eigensolver for Computing Vibrational Spectra of Molecules With Four or More Atoms J. Chem. Phys. 2002, 117 (15) 6923-6934 10.1063/1.1506911
-
(2002)
J. Chem. Phys.
, vol.117
, Issue.15
, pp. 6923-6934
-
-
Wang, X.-G.1
Carrington, T.2
-
24
-
-
4344688264
-
Contracted Basis Lanczos Methods for Computing Numerically Exact Rovibrational Levels of Methane
-
Wang, X.-G.; Carrington, T., Jr. Contracted Basis Lanczos Methods for Computing Numerically Exact Rovibrational Levels of Methane J. Chem. Phys. 2004, 121 (7) 2937-2954 10.1063/1.1767093
-
(2004)
J. Chem. Phys.
, vol.121
, Issue.7
, pp. 2937-2954
-
-
Wang, X.-G.1
Carrington, T.2
-
25
-
-
0037044984
-
Two-layer Lanczos Iteration Approach to Molecular Spectroscopic Calculation
-
Yu, H.-G. Two-layer Lanczos Iteration Approach to Molecular Spectroscopic Calculation J. Chem. Phys. 2002, 117 (18) 8190-8196 10.1063/1.1511721
-
(2002)
J. Chem. Phys.
, vol.117
, Issue.18
, pp. 8190-8196
-
-
Yu, H.-G.1
-
26
-
-
33748558835
-
Calculating Vibrational Energies and Wave Functions of Vinylidene Using a Contracted Basis with a Locally Reorthogonalized Coupled Two-term Lanczos Eigensolver
-
Tremblay, J. C.; Carrington, T. Calculating Vibrational Energies and Wave Functions of Vinylidene Using a Contracted Basis With a Locally Reorthogonalized Coupled Two-term Lanczos Eigensolver J. Chem. Phys. 2006, 125 (9) 094311 10.1063/1.2234480
-
(2006)
J. Chem. Phys.
, vol.125
, Issue.9
, pp. 094311
-
-
Tremblay, J.C.1
Carrington, T.2
-
27
-
-
0037460532
-
Molecular Vibrations: Iterative Solution with Energy Selected Bases
-
Lee, H.-S.; Light, J. C. Molecular Vibrations: Iterative Solution With Energy Selected Bases J. Chem. Phys. 2003, 118 (8) 3458-3469 10.1063/1.1539037
-
(2003)
J. Chem. Phys.
, vol.118
, Issue.8
, pp. 3458-3469
-
-
Lee, H.-S.1
Light, J.C.2
-
28
-
-
0038107618
-
A Contracted Basis-Lanczos Calculation of the Vibrational Levels of Methane: Solving the Schroedinger Equation in Nine Dimensions
-
Wang, X.-G.; Carrington, T. A Contracted Basis-Lanczos Calculation of the Vibrational Levels of Methane: Solving the Schroedinger Equation in Nine Dimensions J. Chem. Phys. 2003, 119, 101-117 10.1063/1.1574016
-
(2003)
J. Chem. Phys.
, vol.119
, pp. 101-117
-
-
Wang, X.-G.1
Carrington, T.2
-
29
-
-
0000365823
-
Wave-packet Dynamics Within the Multiconfiguration Hartree Framework: General Aspects and Application to NOCl
-
Manthe, U.; Meyer, H.-D.; Cederbaum, L. S. Wave-packet Dynamics Within the Multiconfiguration Hartree Framework: General Aspects and Application to NOCl J. Chem. Phys. 1992, 97, 3199-3213 10.1063/1.463007
-
(1992)
J. Chem. Phys.
, vol.97
, pp. 3199-3213
-
-
Manthe, U.1
Meyer, H.-D.2
Cederbaum, L.S.3
-
30
-
-
0033636381
-
The Multiconfiguration Time-dependent Hartree (MCTDH) Method: A Highly Efficient Algorithm for Propagating Wavepackets
-
Beck, M. H.; Jackle, A.; Worth, G. A.; Meyer, H.-D. The Multiconfiguration Time-dependent Hartree (MCTDH) Method: A Highly Efficient Algorithm for Propagating Wavepackets Phys. Rep. 2000, 324, 1-105 10.1016/S0370-1573(99)00047-2
-
(2000)
Phys. Rep.
, vol.324
, pp. 1-105
-
-
Beck, M.H.1
Jackle, A.2
Worth, G.A.3
Meyer, H.-D.4
-
31
-
-
84859402076
-
Studying Molecular Quantum Dynamics with the Multiconfiguration Time-dependent Hartree Method
-
Meyer, H.-D. Studying Molecular Quantum Dynamics With the Multiconfiguration Time-dependent Hartree Method Wiley Interdisc. Rev.-Comput. Mol. Sci. 2012, 2, 351-374 10.1002/wcms.87
-
(2012)
Wiley Interdisc. Rev.-Comput. Mol. Sci.
, vol.2
, pp. 351-374
-
-
Meyer, H.-D.1
-
32
-
-
84953241341
-
-
Wiley-VCH: Weinheim, Germany
-
MCTDH Theory and Application; Meyer, H.-D.; Gatti, F.; Worth, G., Eds.; Wiley-VCH: Weinheim, Germany, 2009.
-
(2009)
MCTDH Theory and Application
-
-
Meyer, H.-D.1
Gatti, F.2
Worth, G.3
-
33
-
-
0036678361
-
An Exact Variational Method to Calculate Vibrational Energies of Five Atom Molecules beyond the Normal Mode Approach
-
Yu, H.-G. An Exact Variational Method to Calculate Vibrational Energies of Five Atom Molecules Beyond the Normal Mode Approach J. Chem. Phys. 2002, 117 (5) 2030-2037 10.1063/1.1488575
-
(2002)
J. Chem. Phys.
, vol.117
, Issue.5
, pp. 2030-2037
-
-
Yu, H.-G.1
-
37
-
-
0040532910
-
A Novel Discrete Variable Representation for Quantum Mechanical Reactive Scattering Via the S-matrix Kohn Method
-
Colbert, D. T.; Miller, W. H. A Novel Discrete Variable Representation for Quantum Mechanical Reactive Scattering Via the S-matrix Kohn Method J. Chem. Phys. 1992, 96 (3) 1982-1991 10.1063/1.462100
-
(1992)
J. Chem. Phys.
, vol.96
, Issue.3
, pp. 1982-1991
-
-
Colbert, D.T.1
Miller, W.H.2
-
38
-
-
24144459587
-
How to Choose One-dimensional Basis Functions so That a Very Efficient Multidimensional Basis May Be Extracted from a Direct Product of the One-dimensional Functions: Energy Levels of Coupled Systems with as Many as 16 Coordinates
-
Dawes, R.; Carrington, T. How to Choose One-dimensional Basis Functions So That a Very Efficient Multidimensional Basis May Be Extracted From a Direct Product of the One-dimensional Functions: Energy Levels of Coupled Systems With as Many as 16 Coordinates J. Chem. Phys. 2005, 122 (13) 134101 10.1063/1.1863935
-
(2005)
J. Chem. Phys.
, vol.122
, Issue.13
, pp. 134101
-
-
Dawes, R.1
Carrington, T.2
-
39
-
-
0001685974
-
Semiclassical Gaussian Basis Set Method for Molecular Vibrational Wave Functions
-
Davis, M. J.; Heller, E. J. Semiclassical Gaussian Basis Set Method for Molecular Vibrational Wave Functions J. Chem. Phys. 1979, 71 (8) 3383-3395 10.1063/1.438727
-
(1979)
J. Chem. Phys.
, vol.71
, Issue.8
, pp. 3383-3395
-
-
Davis, M.J.1
Heller, E.J.2
-
40
-
-
0842333642
-
Using Wavelets to Extend Quantum Dynamics Calculations to Ten or More Degrees of Freedom
-
Poirier, B. Using Wavelets to Extend Quantum Dynamics Calculations to Ten or More Degrees of Freedom J. Theor. Comput. Chem. 2003, 2, 65-72 10.1142/S0219633603000380
-
(2003)
J. Theor. Comput. Chem.
, vol.2
, pp. 65-72
-
-
Poirier, B.1
-
41
-
-
3442893243
-
Quantum Dynamics Calculations Using Symmetrized, Orthogonal Weyl-Heisenberg Wavelets with a Phase Space Truncation Scheme. II. Construction and Optimization
-
Poirier, B.; Salam, A. Quantum Dynamics Calculations Using Symmetrized, Orthogonal Weyl-Heisenberg Wavelets With a Phase Space Truncation Scheme. II. Construction and Optimization J. Chem. Phys. 2004, 121, 1690-1703 10.1063/1.1767511
-
(2004)
J. Chem. Phys.
, vol.121
, pp. 1690-1703
-
-
Poirier, B.1
Salam, A.2
-
42
-
-
84871240486
-
Accurate Quantum Dynamics Calculations Using Symmetrized Gaussians on a Doubly Dense von Neumann Lattice
-
Halverson, T.; Poirier, B. Accurate Quantum Dynamics Calculations Using Symmetrized Gaussians on a Doubly Dense Von Neumann Lattice J. Chem. Phys. 2012, 137, 224101 10.1063/1.4769402
-
(2012)
J. Chem. Phys.
, vol.137
, pp. 224101
-
-
Halverson, T.1
Poirier, B.2
-
43
-
-
84865257620
-
Phase-space Approach to Solving the Time-independent Schrodinger Equation
-
Shimshovitz, A.; Tannor, D. J. Phase-space Approach to Solving the Time-independent Schrodinger Equation Phys. Rev. Lett. 2012, 109, 070402 10.1103/PhysRevLett.109.070402
-
(2012)
Phys. Rev. Lett.
, vol.109
, pp. 070402
-
-
Shimshovitz, A.1
Tannor, D.J.2
-
44
-
-
84937799543
-
Using an Iterative Eigensolver to Compute Vibrational Energies with Phase-spaced Localized Basis Functions
-
Brown, J.; Carrington, T., Jr. Using an Iterative Eigensolver to Compute Vibrational Energies With Phase-spaced Localized Basis Functions J. Chem. Phys. 2015, 143, 044104 10.1063/1.4926805
-
(2015)
J. Chem. Phys.
, vol.143
, pp. 044104
-
-
Brown, J.1
Carrington, T.2
-
45
-
-
84922311100
-
Comment on "phase-space Approach to Solving the Time Independent Schrodinger Equation
-
Brown, J.; Carrington, T. Comment on "Phase-space Approach to Solving the Time Independent Schrodinger Equation Phys. Rev. Lett. 2015, 114, 058901 10.1103/PhysRevLett.114.058901
-
(2015)
Phys. Rev. Lett.
, vol.114
, pp. 058901
-
-
Brown, J.1
Carrington, T.2
-
46
-
-
0035967357
-
The Utility of Constraining Basis Function Indices When Using the Lanczos Algorithm to Calculate Vibrational Energy Levels
-
Wang, X.-G.; Carrington, T. The Utility of Constraining Basis Function Indices When Using the Lanczos Algorithm to Calculate Vibrational Energy Levels J. Phys. Chem. A 2001, 105 (12) 2575-2581 10.1021/jp003792s
-
(2001)
J. Phys. Chem. A
, vol.105
, Issue.12
, pp. 2575-2581
-
-
Wang, X.-G.1
Carrington, T.2
-
47
-
-
70449378697
-
Nonproduct Quadrature Grids for Solving the Vibrational Schroedinger Equation
-
Avila, G.; Carrington, T. Nonproduct Quadrature Grids for Solving the Vibrational Schroedinger Equation J. Chem. Phys. 2009, 131 (17) 174103 10.1063/1.3246593
-
(2009)
J. Chem. Phys.
, vol.131
, Issue.17
, pp. 174103
-
-
Avila, G.1
Carrington, T.2
-
48
-
-
79951519445
-
Using Nonproduct Quadrature Grids to Solve the Vibrational Schrodinger Equation in 12D
-
Avila, G.; Carrington, T., Jr. Using Nonproduct Quadrature Grids to Solve the Vibrational Schrodinger Equation in 12D J. Chem. Phys. 2011, 134, 054126 10.1063/1.3549817
-
(2011)
J. Chem. Phys.
, vol.134
, pp. 054126
-
-
Avila, G.1
Carrington, T.2
-
50
-
-
84868703821
-
Solving the Vibrational Schrodinger Equation Using Bases Pruned to Include Strongly Coupled Functions and Compatible Quadratures
-
Avila, G.; Carrington, T., Jr. Solving the Vibrational Schrodinger Equation Using Bases Pruned to Include Strongly Coupled Functions and Compatible Quadratures J. Chem. Phys. 2012, 137, 174108 10.1063/1.4764099
-
(2012)
J. Chem. Phys.
, vol.137
, pp. 174108
-
-
Avila, G.1
Carrington, T.2
-
51
-
-
0001538783
-
Product Representation of Potential Energy Surfaces
-
Jackle, A.; Meyer, H.-D. Product Representation of Potential Energy Surfaces J. Chem. Phys. 1996, 104, 7974-7984 10.1063/1.471513
-
(1996)
J. Chem. Phys.
, vol.104
, pp. 7974-7984
-
-
Jackle, A.1
Meyer, H.-D.2
-
52
-
-
33845324128
-
Using Neural Networks to Represent Potential Surfaces as Sums of Products
-
Manzhos, S.; Carrington, T., Jr. Using Neural Networks to Represent Potential Surfaces as Sums of Products J. Chem. Phys. 2006, 125, 194105 10.1063/1.2387950
-
(2006)
J. Chem. Phys.
, vol.125
, pp. 194105
-
-
Manzhos, S.1
Carrington, T.2
-
53
-
-
84941248987
-
Using Multi-dimensional Smolyak Interpolation to Make a Sum-of-products Potential
-
Avila, G.; Carrington, T., Jr. Using Multi-dimensional Smolyak Interpolation to Make a Sum-of-products Potential J. Chem. Phys. 2015, 143, 044106 10.1063/1.4926651
-
(2015)
J. Chem. Phys.
, vol.143
, pp. 044106
-
-
Avila, G.1
Carrington, T.2
-
54
-
-
68649096448
-
Tensor Decompositions and Applications
-
Kolda, T. G.; Bader, B. W. Tensor Decompositions and Applications SIAM Rev. 2009, 51, 455-500 10.1137/07070111X
-
(2009)
SIAM Rev.
, vol.51
, pp. 455-500
-
-
Kolda, T.G.1
Bader, B.W.2
-
55
-
-
27844496824
-
Algorithms for Numerical Analysis in High Dimensions
-
Beylkin, G.; Mohlenkamp, M. J. Algorithms for Numerical Analysis in High Dimensions SIAM J. Sci. Comput. 2005, 26, 2133-2159 10.1137/040604959
-
(2005)
SIAM J. Sci. Comput.
, vol.26
, pp. 2133-2159
-
-
Beylkin, G.1
Mohlenkamp, M.J.2
-
56
-
-
55349142218
-
Tensor Rank and the Ill-posedness of the Best Low-rank Approximation Problem
-
De Silva, V.; Lim, L. H. Tensor Rank and the Ill-posedness of the Best Low-rank Approximation Problem SIAM J. Matrix Anal. Appl. 2008, 30, 1084-1127 10.1137/06066518X
-
(2008)
SIAM J. Matrix Anal. Appl.
, vol.30
, pp. 1084-1127
-
-
De Silva, V.1
Lim, L.H.2
-
57
-
-
84900003805
-
Calculating Vibrational Spectra with Sum of Product Basis Functions Without Storing Full-dimensional Vectors or Matrices
-
Leclerc, A.; Carrington, T. Calculating Vibrational Spectra With Sum of Product Basis Functions Without Storing Full-dimensional Vectors or Matrices J. Chem. Phys. 2014, 140, 174111 10.1063/1.4871981
-
(2014)
J. Chem. Phys.
, vol.140
, pp. 174111
-
-
Leclerc, A.1
Carrington, T.2
-
58
-
-
0004236492
-
-
3rd ed. John Hopkins University Press: Baltimore, MD
-
Golub, G. H.; van Loan, C. F. Matrix Computations, 3 rd ed.; John Hopkins University Press: Baltimore, MD, 1996.
-
(1996)
Matrix Computations
-
-
Golub, G.H.1
Van Loan, C.F.2
-
59
-
-
84891868100
-
Multi-layer Potfit: An Accurate Potential Representation for Efficient High-dimensional Quantum Dynamics
-
Otto, F. Multi-layer Potfit: an Accurate Potential Representation for Efficient High-dimensional Quantum Dynamics J. Chem. Phys. 2014, 140, 014106 10.1063/1.4856135
-
(2014)
J. Chem. Phys.
, vol.140
, pp. 014106
-
-
Otto, F.1
-
60
-
-
0042767657
-
Multilayer Formulation of the Multiconfiguration Time-dependent Hartree Theory
-
Wang, H.; Thoss, M. Multilayer Formulation of the Multiconfiguration Time-dependent Hartree Theory J. Chem. Phys. 2003, 119, 1289 10.1063/1.1580111
-
(2003)
J. Chem. Phys.
, vol.119
, pp. 1289
-
-
Wang, H.1
Thoss, M.2
-
61
-
-
84923887125
-
Tensor Decomposition Techniques in the Solution of Vibrational Coupled Cluster Response Theory Eigenvalue Equations
-
Godtliebsen, I. H.; Hansen, M. B.; Christiansen, O. Tensor Decomposition Techniques in the Solution of Vibrational Coupled Cluster Response Theory Eigenvalue Equations J. Chem. Phys. 2015, 142, 024105 10.1063/1.4905160
-
(2015)
J. Chem. Phys.
, vol.142
, pp. 024105
-
-
Godtliebsen, I.H.1
Hansen, M.B.2
Christiansen, O.3
-
62
-
-
84894609844
-
Computation of Extreme Eigenvalues in Higher Dimensions Using Block Tensor Train Format
-
Dolgov, S. V.; Khoromskij, B. N.; Oseledets, I.; Savostyanov, D. V. Computation of Extreme Eigenvalues in Higher Dimensions Using Block Tensor Train Format Comput. Phys. Commun. 2014, 185, 1207-1216 10.1016/j.cpc.2013.12.017
-
(2014)
Comput. Phys. Commun.
, vol.185
, pp. 1207-1216
-
-
Dolgov, S.V.1
Khoromskij, B.N.2
Oseledets, I.3
Savostyanov, D.V.4
-
63
-
-
42949155172
-
A Multilayer Multiconfigurational Time-dependent Hartree Approach for Quantum Dynamics on General Potential Energy Surfaces
-
Manthe, U. A Multilayer Multiconfigurational Time-dependent Hartree Approach for Quantum Dynamics on General Potential Energy Surfaces J. Chem. Phys. 2008, 128, 164116 10.1063/1.2902982
-
(2008)
J. Chem. Phys.
, vol.128
, pp. 164116
-
-
Manthe, U.1
-
64
-
-
79551579708
-
Multilayer Multiconfiguration Time-dependent Hartree Method: Implementation and Applications to a Henon-Heiles Hamiltonian and to Pyrazine
-
Vendrell, O.; Meyer, H.-D. Multilayer Multiconfiguration Time-dependent Hartree Method: Implementation and Applications to a Henon-Heiles Hamiltonian and to Pyrazine J. Chem. Phys. 2011, 134, 044135 10.1063/1.3535541
-
(2011)
J. Chem. Phys.
, vol.134
, pp. 044135
-
-
Vendrell, O.1
Meyer, H.-D.2
-
65
-
-
77952289640
-
A New Scheme for the Tensor Representation
-
Hackbusch, W.; Kuhn, S. A New Scheme for the Tensor Representation J. Fourier Anal. Appl. 2009, 15, 706-722 10.1007/s00041-009-9094-9
-
(2009)
J. Fourier Anal. Appl.
, vol.15
, pp. 706-722
-
-
Hackbusch, W.1
Kuhn, S.2
-
66
-
-
77956032667
-
Hierarchical Singular Value Decomposition of Tensors
-
Grasedyck, L. Hierarchical Singular Value Decomposition of Tensors SIAM J. Matrix Anal. Appl. 2010, 31, 2029-2054 10.1137/090764189
-
(2010)
SIAM J. Matrix Anal. Appl.
, vol.31
, pp. 2029-2054
-
-
Grasedyck, L.1
-
67
-
-
80053926097
-
Preconditioned Low-rank Methods for High-dimensional Elliptic PDE Eigenvalue Problems
-
Kressner, D.; Tobler, C. Preconditioned Low-rank Methods for High-dimensional Elliptic PDE Eigenvalue Problems Comput. Methods Appl. Math. 2011, 11, 363-381 10.2478/cmam-2011-0020
-
(2011)
Comput. Methods Appl. Math.
, vol.11
, pp. 363-381
-
-
Kressner, D.1
Tobler, C.2
-
69
-
-
79959453370
-
Intramolecular Proton Transfer in Malonaldehyde: Accurate Multilayer Multi-configurational Time-dependent Hartree Calculations
-
Hammer, T.; Manthe, U. Intramolecular Proton Transfer in Malonaldehyde: Accurate Multilayer Multi-configurational Time-dependent Hartree Calculations J. Chem. Phys. 2011, 134, 224305 10.1063/1.3598110
-
(2011)
J. Chem. Phys.
, vol.134
, pp. 224305
-
-
Hammer, T.1
Manthe, U.2
-
70
-
-
84872035770
-
3 Rate Constants for Different Potentials
-
3 Rate Constants for Different Potentials J. Chem. Phys. 2012, 137, 244106 10.1063/1.4772585
-
(2012)
J. Chem. Phys.
, vol.137
, pp. 244106
-
-
Welsch, R.1
Manthe, U.2
-
71
-
-
84870209563
-
Full Dimensional Quantum-mechanical Simulations for the Vibronic Dynamics of Difluorobenzene Radical Cation Isomers Using the Multilayer Multiconfiguration Time-dependent Hartree Method
-
Meng, Q.; Faraji, S.; Vendrell, O.; Meyer, H.-D. Full Dimensional Quantum-mechanical Simulations for the Vibronic Dynamics of Difluorobenzene Radical Cation Isomers Using the Multilayer Multiconfiguration Time-dependent Hartree Method J. Chem. Phys. 2012, 137, 134302 10.1063/1.4755372
-
(2012)
J. Chem. Phys.
, vol.137
, pp. 134302
-
-
Meng, Q.1
Faraji, S.2
Vendrell, O.3
Meyer, H.-D.4
-
72
-
-
84872063128
-
A Multilayer MCTDH Study on the Full Dimensional Vibronic Dynamics of Naphthalene and Anthracene Cations
-
Meng, Q.; Meyer, H.-D. A Multilayer MCTDH Study on the Full Dimensional Vibronic Dynamics of Naphthalene and Anthracene Cations J. Chem. Phys. 2013, 138, 014313 10.1063/1.4772779
-
(2013)
J. Chem. Phys.
, vol.138
, pp. 014313
-
-
Meng, Q.1
Meyer, H.-D.2
-
73
-
-
84907998402
-
A Full-dimensional Multilayer Multiconfiguration Time-dependent Hartree Study on the Ultraviolet Absorption Spectrum of Formaldehyde Oxide
-
Meng, Q.; Meyer, H.-D. A Full-dimensional Multilayer Multiconfiguration Time-dependent Hartree Study on the Ultraviolet Absorption Spectrum of Formaldehyde Oxide J. Chem. Phys. 2014, 141, 124309 10.1063/1.4896201
-
(2014)
J. Chem. Phys.
, vol.141
, pp. 124309
-
-
Meng, Q.1
Meyer, H.-D.2
-
74
-
-
0001765826
-
Efficient Calculation of Rovibrational Eigenstates of Sequentially Bonded 4-atom Molecules
-
Bramley, M. J.; Handy, N. C. Efficient Calculation of Rovibrational Eigenstates of Sequentially Bonded 4-atom Molecules J. Chem. Phys. 1993, 98, 1378-1397 10.1063/1.464305
-
(1993)
J. Chem. Phys.
, vol.98
, pp. 1378-1397
-
-
Bramley, M.J.1
Handy, N.C.2
-
75
-
-
33645285567
-
The VMFCI Method: A Flexible Tool for Solving the Molecular Vibration Problem
-
Cassam-Chenai, P.; Liévin, J. The VMFCI Method: A Flexible Tool for Solving the Molecular Vibration Problem J. Comput. Chem. 2006, 27, 627-640 10.1002/jcc.20374
-
(2006)
J. Comput. Chem.
, vol.27
, pp. 627-640
-
-
Cassam-Chenai, P.1
Liévin, J.2
-
76
-
-
79955665054
-
Bounding the Spectrum of Large Hermitian Matrices
-
Zhou, Y.; Li, R.-C. Bounding the Spectrum of Large Hermitian Matrices Lin. Alg. Appl. 2011, 435, 480-493 10.1016/j.laa.2010.06.034
-
(2011)
Lin. Alg. Appl.
, vol.435
, pp. 480-493
-
-
Zhou, Y.1
Li, R.-C.2
-
77
-
-
80053896203
-
Tensor-train Decomposition
-
Oseledets, I. V. Tensor-train Decomposition SIAM J. Sci. Comput. 2011, 33, 2295-2317 10.1137/090752286
-
(2011)
SIAM J. Sci. Comput.
, vol.33
, pp. 2295-2317
-
-
Oseledets, I.V.1
-
78
-
-
20344366302
-
Calculations of Vibrational Energy Levels by Using a Hybrid Ab Initio and DFT Quartic Force Field: Application to Acetonitrile
-
Bégué, D.; Carbonniere, P.; Pouchan, C. Calculations of Vibrational Energy Levels By Using a Hybrid Ab Initio and DFT Quartic Force Field: Application to Acetonitrile J. Phys. Chem. A 2005, 109, 4611-4616 10.1021/jp0406114
-
(2005)
J. Phys. Chem. A
, vol.109
, pp. 4611-4616
-
-
Bégué, D.1
Carbonniere, P.2
Pouchan, C.3
-
79
-
-
36049016396
-
A Comparison of Two Methods for Selecting Vibrational Configuration Interaction Spaces on a Heptatomic System: Ethylene Oxide
-
Bégué, D.; Gohaud, N.; Pouchan, C.; Cassam-Chenai, P.; Liévin, J. A Comparison of Two Methods for Selecting Vibrational Configuration Interaction Spaces on a Heptatomic System: Ethylene Oxide J. Chem. Phys. 2007, 127, 164115 10.1063/1.2795711
-
(2007)
J. Chem. Phys.
, vol.127
, pp. 164115
-
-
Bégué, D.1
Gohaud, N.2
Pouchan, C.3
Cassam-Chenai, P.4
Liévin, J.5
-
80
-
-
77949270265
-
The VCI-P Code: An Iterative Variation-perturbation Scheme for Efficient Computations of Anharmonic Vibrational Levels and IR Intensities of Polyatomic Molecules
-
Carbonniere, P.; Dargelos, A.; Pouchan, C. The VCI-P Code: an Iterative Variation-perturbation Scheme for Efficient Computations of Anharmonic Vibrational Levels and IR Intensities of Polyatomic Molecules Theor. Chem. Acc. 2010, 125, 543-554 10.1007/s00214-009-0689-7
-
(2010)
Theor. Chem. Acc.
, vol.125
, pp. 543-554
-
-
Carbonniere, P.1
Dargelos, A.2
Pouchan, C.3
-
81
-
-
67651180916
-
Vibrational Coupled Cluster Theory with Full Two-mode and Approximate Three-mode Couplings: The VCC[2pt3] Model
-
Seidler, P.; Matito, E.; Christiansen, O. Vibrational Coupled Cluster Theory With Full Two-mode and Approximate Three-mode Couplings: the VCC[2pt3] Model J. Chem. Phys. 2009, 131, 034115 10.1063/1.3158946
-
(2009)
J. Chem. Phys.
, vol.131
, pp. 034115
-
-
Seidler, P.1
Matito, E.2
Christiansen, O.3
-
82
-
-
73449133423
-
Automatic Derivation and Evaluation of Vibrational Coupled Cluster Theory Equations
-
Seidler, P.; Christiansen, O. Automatic Derivation and Evaluation of Vibrational Coupled Cluster Theory Equations J. Chem. Phys. 2009, 131, 234109 10.1063/1.3272796
-
(2009)
J. Chem. Phys.
, vol.131
, pp. 234109
-
-
Seidler, P.1
Christiansen, O.2
-
83
-
-
72049098447
-
On the Coupling Strength in Potential Energy Surfaces for Vibrational Calculations
-
Seidler, P.; Kaga, T.; Yagi, K.; Christiansen, O.; Hirao, K. On the Coupling Strength in Potential Energy Surfaces for Vibrational Calculations Chem. Phys. Lett. 2009, 483, 138-142 10.1016/j.cplett.2009.10.018
-
(2009)
Chem. Phys. Lett.
, vol.483
, pp. 138-142
-
-
Seidler, P.1
Kaga, T.2
Yagi, K.3
Christiansen, O.4
Hirao, K.5
-
84
-
-
84897980136
-
Accurate Spectroscopic Characterization of Oxirane: A Valuable Route to its Identification in Titan's Atmosphere and the Assignment of Unidentified Infrared Bands
-
Puzzarini, C.; Biczysko, M.; Bloino, J.; Barone, V. Accurate Spectroscopic Characterization of Oxirane: a Valuable Route to its Identification in Titan's Atmosphere and the Assignment of Unidentified Infrared Bands Astrophys. J. 2014, 785, 107 10.1088/0004-637X/785/2/107
-
(2014)
Astrophys. J.
, vol.785
, pp. 107
-
-
Puzzarini, C.1
Biczysko, M.2
Bloino, J.3
Barone, V.4
-
85
-
-
0036069151
-
A General Variational Algorithm to Calculate Vibrational Energy Levels of Tetraatomic Molecules
-
Yu, H.-G.; Muckerman, J. T. A General Variational Algorithm to Calculate Vibrational Energy Levels of Tetraatomic Molecules J. Mol. Spectrosc. 2002, 214, 11-20 10.1006/jmsp.2002.8569
-
(2002)
J. Mol. Spectrosc.
, vol.214
, pp. 11-20
-
-
Yu, H.-G.1
Muckerman, J.T.2
-
86
-
-
0035868441
-
Six-dimensional Quantum Calculations of Highly Excited Vibrational Energy Levels of Hydrogen Peroxide and its Deuterated Isotopomers
-
Chen, R.; Ma, G.; Guo, H. Six-dimensional Quantum Calculations of Highly Excited Vibrational Energy Levels of Hydrogen Peroxide and its Deuterated Isotopomers J. Chem. Phys. 2001, 114, 4763 10.1063/1.1348274
-
(2001)
J. Chem. Phys.
, vol.114
, pp. 4763
-
-
Chen, R.1
Ma, G.2
Guo, H.3
-
87
-
-
0031380559
-
Vibrational Self-consistent Field Method for Many-mode Systems: A New Approach and Application to the Vibrations of CO Adsorbed on Cu(100)
-
Carter, S.; Culik, S. J.; Bowman, J. M. Vibrational Self-consistent Field Method for Many-mode Systems: a New Approach and Application to the Vibrations of CO Adsorbed on Cu(100) J. Chem. Phys. 1997, 107, 10458-10469 10.1063/1.474210
-
(1997)
J. Chem. Phys.
, vol.107
, pp. 10458-10469
-
-
Carter, S.1
Culik, S.J.2
Bowman, J.M.3
-
89
-
-
0000248114
-
Monster Matrices: Their Eigenvalues and Eigenvectors
-
Davidson, E. R.; Thompson, W. J. Monster Matrices: Their Eigenvalues and Eigenvectors Comput. Phys. 1993, 7, 519 10.1063/1.4823212
-
(1993)
Comput. Phys.
, vol.7
, pp. 519
-
-
Davidson, E.R.1
Thompson, W.J.2
-
90
-
-
0000591301
-
A New Iterative Method for Calculating Energy Levels and Wave Functions
-
Huang, S.-W.; Carrington, T., Jr. A New Iterative Method for Calculating Energy Levels and Wave Functions J. Chem. Phys. 2000, 112, 8765 10.1063/1.481492
-
(2000)
J. Chem. Phys.
, vol.112
, pp. 8765
-
-
Huang, S.-W.1
Carrington, T.2
|