Generalized Kronecker product splitting iteration for the solution of implicit Runge-Kutta and boundary value methods

Hao Chen

doi:10.1002/nla.1960

Generalized Kronecker product splitting iteration for the solution of implicit Runge-Kutta and boundary value methods

Numerical Linear Algebra with Applications ◽

10.1002/nla.1960 ◽

2014 ◽

Vol 22 (2) ◽

pp. 357-370 ◽

Cited By ~ 12

Author(s):

Hao Chen

Keyword(s):

Kronecker Product ◽

Boundary Value ◽

Boundary Value Methods ◽

Runge Kutta ◽

Generalized Kronecker Product

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Boundary value methods: The third way between linear multistep and Runge-Kutta methods

Computers & Mathematics with Applications ◽

10.1016/s0898-1221(98)80028-x ◽

1998 ◽

Vol 36 (10-12) ◽

pp. 269-284 ◽

Cited By ~ 33

Author(s):

L. Brugnano ◽

D. Trigiante

Keyword(s):

Boundary Value ◽

Boundary Value Methods ◽

Third Way ◽

The Third ◽

Runge Kutta

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Reprint of Analysis of Hamiltonian Boundary Value Methods (HBVMs): A class of energy-preserving Runge–Kutta methods for the numerical solution of polynomial Hamiltonian systems

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2014.10.015 ◽

2015 ◽

Vol 21 (1-3) ◽

pp. 34-51

Author(s):

Luigi Brugnano ◽

Felice Iavernaro ◽

Donato Trigiante

Keyword(s):

Numerical Solution ◽

Hamiltonian Systems ◽

Boundary Value ◽

Boundary Value Methods ◽

Hamiltonian Boundary Value Methods ◽

Runge Kutta

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A splitting preconditioner for the iterative solution of implicit Runge-Kutta and boundary value methods

BIT Numerical Mathematics ◽

10.1007/s10543-014-0467-3 ◽

2014 ◽

Vol 54 (3) ◽

pp. 607-621 ◽

Cited By ~ 13

Author(s):

Hao Chen

Keyword(s):

Boundary Value ◽

Iterative Solution ◽

Boundary Value Methods ◽

Runge Kutta

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A note on the continuous-stage Runge–Kutta(–Nyström) formulation of Hamiltonian Boundary Value Methods (HBVMs)

Applied Mathematics and Computation ◽

10.1016/j.amc.2019.124634 ◽

2019 ◽

Vol 363 ◽

pp. 124634

Author(s):

Pierluigi Amodio ◽

Luigi Brugnano ◽

Felice Iavernaro

Keyword(s):

Boundary Value ◽

Boundary Value Methods ◽

Hamiltonian Boundary Value Methods ◽

Runge Kutta

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Analysis of Hamiltonian Boundary Value Methods (HBVMs): A class of energy-preserving Runge–Kutta methods for the numerical solution of polynomial Hamiltonian systems

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2014.05.030 ◽

2015 ◽

Vol 20 (3) ◽

pp. 650-667 ◽

Cited By ~ 35

Author(s):

Luigi Brugnano ◽

Felice Iavernaro ◽

Donato Trigiante

Keyword(s):

Numerical Solution ◽

Hamiltonian Systems ◽

Boundary Value ◽

Boundary Value Methods ◽

Hamiltonian Boundary Value Methods ◽

Runge Kutta

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Convergence of block boundary value methods for solving delay differential algebraic equations with index-1 and index-2

Applied Mathematics and Computation ◽

10.1016/j.amc.2021.126034 ◽

2021 ◽

Vol 399 ◽

pp. 126034

Author(s):

Jingjun Zhao ◽

Xingzhou Jiang ◽

Yang Xu

Keyword(s):

Boundary Value ◽

Differential Algebraic Equations ◽

Algebraic Equations ◽

Boundary Value Methods ◽

Block Boundary ◽

Index 2 ◽

Delay Differential

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Boundary value methods based on Adams-type methods

Applied Numerical Mathematics ◽

10.1016/0168-9274(95)00041-r ◽

1995 ◽

Vol 18 (1-3) ◽

pp. 23-35 ◽

Cited By ~ 20

Author(s):

P. Amodio ◽

F. Mazzia

Keyword(s):

Boundary Value ◽

Boundary Value Methods

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Runge–Kutta Software with Defect Control for Boundary Value ODEs

SIAM Journal on Scientific Computing ◽

10.1137/s1064827593251496 ◽

1996 ◽

Vol 17 (2) ◽

pp. 479-497 ◽

Cited By ~ 44

Author(s):

W. H. Enright ◽

P. H. Muir

Keyword(s):

Boundary Value ◽

Defect Control ◽

Runge Kutta

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Two-Step Multi-Derivative Boundary Value Methods for Linear IVPs∗

The Journal of Difference Equations and Applications ◽

10.1080/10236199708808081 ◽

1997 ◽

Vol 3 (1) ◽

pp. 1-19 ◽

Cited By ~ 5

Author(s):

Paolo Ghelardoni ◽

Pietro Marzulli

Keyword(s):

Boundary Value ◽

Boundary Value Methods

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A generalized Kronecker product and linear systems

International Journal of Mathematical Education in Science and Technology ◽

10.1080/002073999288193 ◽

1999 ◽

Vol 30 (1) ◽

pp. 137-141 ◽

Cited By ~ 6

Author(s):

JOSE-JAVIER MARTINEZ

Keyword(s):

Linear Systems ◽

Kronecker Product ◽

Generalized Kronecker Product

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