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general linear methods (19) 19
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construction (11) 11
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AIP Conference Proceedings, ISSN 0094-243X, 06/2016, Volume 1738, Issue 1
We describe construction of implicit-explicit (IMEX) general linear methods (GLMs) with inherent Runge-Kutta stability... 
inherent Runge-Kutta stability | IMEX methods | construction of highly stable methods | general linear methods | Runge-Kutta method | Stability | Model reduction | Construction methods
Journal Article
Numerical Algorithms, ISSN 1017-1398, 5/2012, Volume 60, Issue 1, pp. 1 - 25
.... Stability regions of these methods compare favorably with stability regions of corresponding general linear methods of the same order with inherent Runge–Kutta stability. 
65L05 | Numeric Computing | Nordsieck representation | Order conditions | Theory of Computation | Inherent quadratic stability | General linear methods | Algebra | Algorithms | Numerical Analysis | Computer Science | 65L20 | Quadratic stability | MATHEMATICS, APPLIED | RUNGE-KUTTA METHODS | 2-STEP | CONSTRUCTION | ORDINARY DIFFERENTIAL-EQUATIONS
Journal Article
Mathematics and computers in simulation, ISSN 0378-4754, 2019, Volume 176, pp. 206 - 225
Journal Article
Numerical Algorithms, ISSN 1017-1398, 5/2004, Volume 36, Issue 1, pp. 53 - 72
...+1 stages which achieve good balance between accuracy and stability properties. The conditions are imposed on the coefficients of these methods which ensure that the resulting stability matrix has only one nonzero eigenvalue... 
inherent Runge–Kutta stability | Algebra | Algorithms | general linear methods | Computer Science | Numeric Computing | Nordsieck representation | Mathematics, general | Theory of Computation | General linear methods | Inherent Runge-Kutta stability | MATHEMATICS, APPLIED | inherent Runge-Kutta stability | ERROR ESTIMATION | DIMSIMS | HIGH-ORDER | MULTISTAGE INTEGRATION METHODS | ORDINARY DIFFERENTIAL-EQUATIONS
Journal Article
Numerical Algorithms, ISSN 1017-1398, 12/2002, Volume 31, Issue 1, pp. 381 - 399
Journal Article
Mathematics and computers in simulation, ISSN 0378-4754, 2009, Volume 79, Issue 6, pp. 1834 - 1845
Journal Article
07/2009, ISBN 0470408553, 71
...‐Kutta stability Doubly companion matrices Transformations between method arrays Transformations between stability functions Lower triangular matrices and characterization of matrices with zero... 
general linear methods | doubly companion matrices | lower triangular matrices | inherent Runge‐Kutta stability | stiffly accurate methods
Book Chapter
Bit Numerical Mathematics, ISSN 0006-3835, 11/2003, Volume 43, Issue 4, pp. 695 - 721
Using the property of ‘inherent Runge—Kutta stability’, it is possible to construct diagonally implicit general linear methods with stability regions exactly the same as for Runge—Kutta methods... 
Mathematics, general | Computational Mathematics and Numerical Analysis | Mathematics | inherent Runge—Kutta stability | general linear methods | Numeric Computing | General linear methods | Inherent Runge-Kutta stability | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | inherent Runge-Kutta stability | MULTISTAGE INTEGRATION METHODS | EXPLICIT
Journal Article
Mathematical Modelling and Analysis, ISSN 1392-6292, 04/2012, Volume 17, Issue 2, pp. 171 - 189
This paper describes the construction of explicit general linear methods in Nordsieck form with inherent quadratic stability and large areas of the stability region... 
Nordsieck representation | inherent quadratic stability | region of absolute stability | order conditions | general linear methods | MATHEMATICS | QUADRATIC STABILITY | RUNGE-KUTTA METHODS | SEARCH | EQUATIONS | HIGH-ORDER | NORDSIECK METHODS | Construction | Mathematical models | Modelling | Models | Stability
Journal Article
Applied numerical mathematics, ISSN 0168-9274, 2003, Volume 44, Issue 3, pp. 313 - 327
Using the “inherent Runge–Kutta stability” property, it is possible to construct diagonally-implicit general linear methods with stability regions exactly the same as for Runge–Kutta methods... 
Transformation | Inherent Runge–Kutta stability | General linear methods | Nordsieck form | Inherent Runge-Kutta stability | MATHEMATICS, APPLIED | DIFFERENTIAL-EQUATIONS | inherent Runge-Kutta stability | transformation | general linear methods
Journal Article
Bit Numerical Mathematics, ISSN 0006-3835, 3/2001, Volume 41, Issue 2, pp. 240 - 264
Journal Article
Journal of Scientific Computing, ISSN 0885-7474, 10/2005, Volume 25, Issue 1, pp. 51 - 66
Journal Article
Journal of Scientific Computing, ISSN 0885-7474, 11/2005, Volume 25, Issue 1, pp. 51 - 66
Journal Article
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