J. R. Cash

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All published works

Action	Title	Year	Authors
+	Solvers for Boundary Value Problems of Differential Equations [R package bvpSolve version 1.4.3]	2021	Karline Soetaert J. R. Cash Francesca Mazzia
+	A Fortran test set for boundary value problem solvers	2015	Francesca Mazzia J. R. Cash
+	Backward Differentiation Formulae	2015	J. R. Cash
+	Solving boundary value problems in the open source software R: package bvpSolve	2014	Francesca Mazzia J. R. Cash Karline Soetaert
+ PDF Chat	Algorithm 927	2013	J. R. Cash D. Hollevoet Francesca Mazzia A. M. Nagy
+	A Test Set for stiff Initial Value Problem Solvers in the open source software R: Package deTestSet	2012	Francesca Mazzia J. R. Cash Karline Soetaert
+	Solving Delay Differential Equations in R	2012	Karline Soetaert J. R. Cash Francesca Mazzia
+	Delay Differential Equations	2012	Karline Soetaert J. R. Cash Francesca Mazzia
+	Solving Ordinary Differential Equations in R	2012	Karline Soetaert J. R. Cash Francesca Mazzia
+	Partial Differential Equations	2012	Karline Soetaert J. R. Cash Francesca Mazzia
+	Differential Algebraic Equations	2012	Karline Soetaert J. R. Cash Francesca Mazzia
+	Initial Value Problems	2012	Karline Soetaert J. R. Cash Francesca Mazzia
+	Boundary Value Problems	2012	Karline Soetaert J. R. Cash Francesca Mazzia
+	Differential Equations	2012	Karline Soetaert J. R. Cash Francesca Mazzia
+	Solving Differential Algebraic Equations in R	2012	Karline Soetaert J. R. Cash Francesca Mazzia
+	Solving Partial Differential Equations in R	2012	Karline Soetaert J. R. Cash Francesca Mazzia
+	Efficient Global Methods for the Numerical Solution of Nonlinear Systems of Two Point Boundary Value Problems	2010	J. R. Cash Francesca Mazzia
+	Conditioning and Hybrid Mesh Selection Algorithms for Two-Point Boundary Value Problems	2009	J. R. Cash Francesca Mazzia
+	Numerical Solution of Singular Two Point BVPs 1	2009	J. R. Cash G. Kitzhofer Othmar Koch Gerald Moore Ewa Weinmüller
+	The Numerical Solution of Ordinary Differential Equations: Preface	2007	J. R. Cash Theodore E. Simos George Psihoyios Ch. Tsitouras
+	On the development of effective algorithms for the numerical solution of singularly perturbed two-point boundary value problems	2007	Steven Capper J. R. Cash Francesca Mazzia
+	Simulation of organic light emitting devices with the method-of-lines	2006	J. Rogel-Salazar J. R. Cash B. Stremsdoerfer Christopher G. Shuttle John C. de Mello Donal D. C. Bradley
+	Efficient Simulations of Organic Light Emitting Devices	2006	J. Rogel-Salazar Christopher G. Shuttle John C. de Mello J. R. Cash D. C. Bradley
+	Variable Step Runge-Kutta-Nystrom Methods for the Numerical Solution of Reversible Systems	2006	J. R. Cash S. Girdlestone
+	The Derivation of Interpolants for Nonlinear Two-Point Boundary Value Problems	2006	J. R. Cash Novriana Sumarti Tariq Abdulla Isabel Vieira
+	Hybrid Mesh Selection Algorithms Based on Conditioning for Two-Point Boundary Value Problems	2006	J. R. Cash Francesca Mazzia
+	The numerical solution of nonlinear two-point boundary value problems using iterated deferred correction - a survey	2006	J. R. Cash
+	The role of conditioning in mesh selection algorithms for first order systems of linear two point boundary value problems	2005	J. R. Cash Francesca Mazzia Novriana Sumarti Donato Trigiante
+	Efficient time integrators in the numerical method of lines	2005	J. R. Cash
+	A Variable Step Runge--Kutta--Nyström Integrator for Reversible Systems of Second Order Initial Value Problems	2005	J. R. Cash
+	High-Order interpolants for solutionsof two-point boundary value problems using MIRK methods	2004	J. R. Cash David Moore
+	A Survey of Some Global Methods for Solving Two‐Point BVPs	2004	J. R. Cash
+	Introduction	2004	J. R. Cash
+	A highly stable deferred correction scheme with interpolant for systems of nonlinear two-point boundary value problems	2003	J. R. Cash David Moore Novriana Sumarti Maarten Van Daele
+	Review Paper: Efficient numerical methods for the solution of stiff initial-value problems and differential algebraic equations	2003	J. R. Cash
+	Mono-implicit Runge–Kutta formulae for the numerical solution of second order nonlinear two-point boundary value problems	2002	J. R. Cash María Pilar Alfaro García David Moore
+	An MEBDF package for the numerical solution of large sparse systems of stiff initial value problems	2001	Tariq Abdulla J. R. Cash Michail Diamantakis
+	An automatic continuation strategy for the solution of singularly perturbed nonlinear boundary value problems	2001	J. R. Cash Gerald Moore R.W. Wright
+	Superconvergent Deferred Correction Methods For First Order Systems of Nonlinear Two-Point Boundary Value Problems	2001	Marnix Van Daele J. R. Cash
+	Modified extended backward differentiation formulae for the numerical solution of stiff initial value problems in ODEs and DAEs	2000	J. R. Cash
+ PDF Chat	Almost block diagonal linear systems: sequential and parallel solution techniques, and applications	2000	Pierluigi Amodio J. R. Cash George Roussos R.W. Wright Graeme Fairweather I. Gladwell G. Kraut Marcin Paprzycki
+ PDF Chat	Lobatto deferred correction for stiff two-point boundary value problems	1998	Z. Bashir-Ali J. R. Cash H.H.M. Silva
+	Continuous extensions of deferred correction schemes for the numerical solution of nonlinear two-point boundary value problems	1998	J. R. Cash R.W. Wright
+	A stability result for general linear methods with characteristic function having real poles only	1998	George Psihoyios J. R. Cash
+	A comparison of some codes for the stiff oscillatory problem	1998	J. R. Cash
+ PDF Chat	DESI methods for stiff initial-value problems	1996	J. C. Butcher J. R. Cash Michail Diamantakis
+	Runge-Kutta methods for the solution of stiff two-point boundary value problems	1996	J. R. Cash
+	The MOL solution of time dependent partial differential equations	1996	J. R. Cash Y. Psihoyios
+	An Automatic Continuation Strategy for the Solution of Singularly Perturbed Linear Two-Point Boundary Value Problems	1995	J. R. Cash Gerald Moore R.W. Wright
+	Block 6(5) and 7(6) explicit Runge—Kutta formulae	1995	J. R. Cash Isabel Vieira
+ PDF Chat	Defect Correction for Two-Point Boundary Value Problems on Nonequidistant Meshes	1995	J. C. Butcher J. R. Cash Gerald Moore Robert D. Russell
+	Stability concepts in the numerical solution of difference and differential equations	1994	J. R. Cash
+	A Unified Approach to Recurrence Algorithms	1994	J. R. Cash R. V. M. Zahar
+	A new approach to solving nonstiff initial-value problems	1993	J. R. Cash S. Semnani
+	On the numerical solution of a class of singular two-point boundary value problems	1993	J. R. Cash H.H.M. Silva
+ PDF Chat	A modified Adams method for nonstiff and mildly stiff initial value problems	1993	J. R. Cash S. Semnani
+ PDF Chat	An MEBDF code for stiff initial value problems	1992	J. R. Cash S. Considine
+ PDF Chat	Algorithm 703: MEBDF	1992	J. R. Cash S. Considine
+	Computational ordinary differential equations : based on the proceedings of a conference on computational ordinary differential equations	1992	J. R. Cash I. Gladwell
+	A Deferred Correction Method for Nonlinear Two-Point Boundary Value Problems: Implementation and Numerical Evaluation	1991	J. R. Cash Margaret H. Wright
+	A Deferred Correction Method for Nonlinear Two-Point Boundary Value Problems: Implementation and Numerical Evaluation.	1991	J. R. Cash Margaret H. Wright
+	A sixth-order exponentially fitted method for the numerical solution of the radial schrodinger equation	1990	J. R. Cash A.D. Raptis Theodore E. Simos
+ PDF Chat	A variable order Runge-Kutta method for initial value problems with rapidly varying right-hand sides	1990	J. R. Cash Alan H. Karp
+	Towards Efficient Runge–Kutta Methods for Stiff Systems	1990	J. C. Butcher J. R. Cash
+	Implementation issues in solving nonlinear equations for two-point boundary value problems	1990	J. R. Cash Margaret H. Wright
+	A Fortran program for the numerical integration of the one-dimensional Schrödinger equation using exponential and Bessel fitting methods	1990	J. R. Cash A.D. Raptis T. E. Simos
+	An adaptive deferred correction method for nonlinear two-point boundary value problems	1989	J. R. Cash
+	A comparison of some global methods for solving two-point boundary value problems	1989	J. R. Cash
+ PDF Chat	A block 6(4) Runge-Kutta formula for nonstiff initial value problems	1989	J. R. Cash
+ PDF Chat	Algorithm 669	1989	J. R. Cash
+	Some recent developments on numerical initial value problems: a survey	1989	J. C. Butcher J. R. Cash
+	A comparison of some global methods for solving two-point boundary value problems	1989	J. R. Cash
+	On the Numerical Integration of Nonlinear Two-Point Boundary Value Problems Using Iterated Deferred Corrections. Part 2: The Development and Analysis of Highly Stable Deferred Correction Formulae	1988	J. R. Cash
+	Exponential and Bessel fitting methods for the numerical solution of the Schrödinger equation	1987	A.D. Raptis J. R. Cash
+	Numerical integration of non-linear two-point boundary-value problems using iterated deferred corrections—I	1986	J. R. Cash
+	A block 5(4) explicit runge-kutta formula with "free" interpolation	1986	J. R. Cash
+	Adaptive Runge-Kutta methods for nonlinear two-point boundary value problems with mild boundary layers	1985	J. R. Cash
+	Blended extended linear multistep methods for the accurate numerical integration of stiff initial value problems	1985	J. R. Cash N. Lambrou
+	Block embedded explicit runge-kutta methods	1985	J. R. Cash
+	A variable step method for the numerical integration of the one-dimensional Schrödinger equation	1985	A.D. Raptis J. R. Cash
+	A high order method for the numerical integration of the one-dimensional Schrödinger equation	1984	J. R. Cash A.D. Raptis
+	EfficientP-stable methods for periodic initial value problems	1984	J. R. Cash
+	Two New Finite Difference Schemes for Parabolic Equations	1984	J. R. Cash
+	Diagonally implicit runge-kutta formulae for the numerical integration of nonlinear two-point boundary value problems	1984	J. R. Cash
+	Split linear multistep methods for the numerical integration of stiff differential systems	1983	J. R. Cash
+	The integration of stiff initial value problems in ODEs using modified extended backward differentiation formulae	1983	J. R. Cash
+ PDF Chat	Block Runge-Kutta methods for the numerical integration of initial value problems in ordinary differential equations. I. The nonstiff case	1983	J. R. Cash
+	A variable order deferred correction algorithm for the numerical solution of nonlinear two point boundary value problems	1983	J. R. Cash
+ PDF Chat	Block Runge-Kutta methods for the numerical integration of initial value problems in ordinary differential equations. II. The stiff case	1983	J. R. Cash
+	On the Solution of Block Tridiagonal Systems of Linear Algebraic Equations Having a Special Structure	1982	J. R. Cash
+	On improving the absolute stability of local extrapolation	1982	J. R. Cash
+	High order methods for the numerical solution of two-point boundary value problems	1982	J. R. Cash Archit Singhal
+	Mono-implicit Runge—Kutta Formulae for the Numerical Integration of Stiff Differential Systems	1982	J. R. Cash Archit Singhal
+	High order methods for the numerical solution of two-point boundary value problems	1982	J. R. Cash Archit Singhal
+	A note on the exponential fitting of blended, extended linear multistep methods	1981	J. R. Cash
+	High orderP-stable formulae for the numerical integration of periodic initial value problems	1981	J. R. Cash
+	On the Exponential Fitting of Composite, Multiderivative Linear Multistep Methods	1981	J. R. Cash
+	Second Derivative Extended Backward Differentiation Formulas for the Numerical Integration of Stiff Systems	1981	J. R. Cash
+	On the integration of stiff systems of O.D.E.s using extended backward differentiation formulae	1980	J. R. Cash
+	On the design of high order exponentially fitted formulae for the numerical integration of stiff systems	1980	J. R. Cash
+	A high order method for the numerical solution of two-point boundary value problems	1980	J. R. Cash David Moore
+ PDF Chat	A note on Olver’s algorithm for the solution of second-order linear difference equations	1980	J. R. Cash
+	A semi-implicit Runge—Kutta formula for the integration of stiff systems of ordinary differential equations	1980	J. R. Cash
+	On the Design of a Variable Order, Variable Step Diagonally Implicit Runge-Kutta Algorithm	1980	J. R. Cash Chin-bo Liem
+	A high order method for the numerical solution of two-point boundary value problems	1980	J. R. Cash David Moore
+	A block method for the numerical integration of stiff systems of ordinary differential equations	1979	Jacqueline Bond J. R. Cash
+ PDF Chat	On an iterative approach to the numerical solution of difference schemes	1979	J. R. Cash
+	Diagonally Implicit Runge-Kutta Formulae with Error Estimates	1979	J. R. Cash
+	Stable recursions : with applications to the numerical solution of stiff systems	1979	J. R. Cash
+	High order methods for the numerical integration of ordinary differential equations	1978	J. R. Cash
+	On the computational aspects of semi-implicit Runge-Kutta methods	1978	J. R. Cash
+	A Note on a Class of Modified Backward Differentiation Schemes	1978	J. R. Cash
+	On a class of cyclic methods for the numerical integration of stiff systems of O.D.E.s	1977	J. R. Cash
+	A note on the iterative solution of recurrence relations	1977	J. R. Cash
+	A Note on the Computational Aspects of a Class of Implicit Runge-Kutta Procedures	1977	J. R. Cash
+	A Class of Iterative Algorithms for the Integration of Stiff Systems of Ordinary Differential Equations	1977	J. R. Cash
+ PDF Chat	Semi-Implicit Runge-Kutta Procedures with Error Estimates for the Numerical Integration of Stiff Systems of Ordinary Differential Equations	1976	J. R. Cash
+ PDF Chat	A Class of Implicit Runge-Kutta Methods for the Numerical Integration of Stiff Ordinary Differential Equations	1975	J. R. Cash
+ PDF Chat	The numerical solution of linear stiff boundary value problems	1975	J. R. Cash
+	The numerical solution of systems of stiff ordinary differential equations	1974	J. R. Cash
+	The numerical solution of linear stiff differential equations	1972	J. R. Cash

Common Coauthors

Coauthor	Papers Together
Francesca Mazzia	20
Karline Soetaert	13
A.D. Raptis	5
David Moore	5
R.W. Wright	4
J. C. Butcher	4
Gerald Moore	4
Archit Singhal	3
Margaret H. Wright	3
Novriana Sumarti	3
J. Rogel-Salazar	2
I. Gladwell	2
John C. de Mello	2
George Psihoyios	2
S. Considine	2
Tariq Abdulla	2
Christopher G. Shuttle	2
Theodore E. Simos	2
Michail Diamantakis	2
Isabel Vieira	2
S. Semnani	2
Chin-bo Liem	1
Pierluigi Amodio	1
Graeme Fairweather	1
G. Kraut	1
Donal D. C. Bradley	1
Maarten Van Daele	1
D. C. Bradley	1
Alan H. Karp	1
Marnix Van Daele	1
Steven Capper	1
T. E. Simos	1
Ch. Tsitouras	1
George Roussos	1
Donato Trigiante	1
S. Girdlestone	1
R. V. M. Zahar	1
Z. Bashir-Ali	1
María Pilar Alfaro García	1
A. M. Nagy	1
B. Stremsdoerfer	1
N. Lambrou	1
H. H. M. Silva	1
Robert D. Russell	1
Y. Psihoyios	1
D. Hollevoet	1
Marcin Paprzycki	1
Othmar Koch	1
Jacqueline Bond	1
Ewa Weinmüller	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	High order methods for the numerical solution of two-point boundary value problems	1982	J. R. Cash Archit Singhal	26
+	A Deferred Correction Method for Nonlinear Two-Point Boundary Value Problems: Implementation and Numerical Evaluation	1991	J. R. Cash Margaret H. Wright	21
+ PDF Chat	Collocation Software for Boundary-Value ODEs	1981	Uri M. Ascher J. Christiansen Robert D. Russell	21
+	Numerical Solution of Boundary Value Problems for Ordinary Differential Equations	1995	Uri M. Ascher Robert M. M. Mattheij Robert D. Russell	19
+	A Theoretical Framework for Proving Accuracy Results for Deferred Corrections	1982	Robert D. Skeel	18
+	On the Numerical Integration of Nonlinear Two-Point Boundary Value Problems Using Iterated Deferred Corrections. Part 2: The Development and Analysis of Highly Stable Deferred Correction Formulae	1988	J. R. Cash	17
+	Solving Ordinary Differential Equations II: Stiff and Differential - Algebraic Problems	1991	Ernst Hairer Gerhard Wanner	16
+	A special stability problem for linear multistep methods	1963	Germund Dahlquist	15
+ PDF Chat	An Adaptive Finite Difference Solver for Nonlinear Two-Point Boundary Problems with Mild Boundary Layers	1977	M. Lentini Víctor Pereyra	15
+	An Automatic Continuation Strategy for the Solution of Singularly Perturbed Linear Two-Point Boundary Value Problems	1995	J. R. Cash Gerald Moore R.W. Wright	13
+ PDF Chat	An MEBDF code for stiff initial value problems	1992	J. R. Cash S. Considine	13
+	A New Basis Implementation for a Mixed Order Boundary Value ODE Solver	1987	G. Bader Uri M. Ascher	12
+	Runge–Kutta Software with Defect Control for Boundary Value ODE<scp>s</scp>	1996	W. H. Enright Paul Muir	12
+	The numerical analysis of ordinary differential equations	1987		12
+	Solving Ordinary Differential Equations II	1996	Ernst Hairer Gerhard Wanner	11
+ PDF Chat	Coefficients for the study of Runge-Kutta integration processes	1963	J. C. Butcher	10
+	The Numerical Analysis of Ordinary Differential Equations; Runge-Kutta and General Linear Methods.	1988	Kenneth R. Jackson J. C. Butcher	10
+	Comparing numerical methods for stiff systems of O.D.E:s	1975	W. H. Enright T. E. Hull Bengt Lindberg	10
+	Mono-implicit Runge—Kutta Formulae for the Numerical Integration of Stiff Differential Systems	1982	J. R. Cash Archit Singhal	9
+	An automatic continuation strategy for the solution of singularly perturbed nonlinear boundary value problems	2001	J. R. Cash Gerald Moore R.W. Wright	9
+ PDF Chat	Lobatto deferred correction for stiff two-point boundary value problems	1998	Z. Bashir-Ali J. R. Cash H.H.M. Silva	9
+	Solving differential problems by multistep initial and boundary value methods	1998	Luigi Brugnano Donato Trigiante	9
+	Analysis of Discretization Methods for Ordinary Differential Equations	1973	Hans J. Stetter	9
+	LSODE and LSODI, two new initial value ordinary differential equation solvers	1980	A.C. Hindmarsh	9
+	Diagonally Implicit Runge–Kutta Methods for Stiff O.D.E.’s	1977	Roger Alexander	9
+	Efficient classes of Runge-Kutta methods for two-point boundary value problems	1986	W. H. Enright Paul Muir	9
+	Numerical integration of non-linear two-point boundary-value problems using iterated deferred corrections—I	1986	J. R. Cash	8
+	Numerical Initial Value Problems in Ordinary Differential Equations	1973	E. I. C. W. Gear	8
+ PDF Chat	Numerical Initial Value Problems in Ordinary Differential Equations	1972	James Watt	8
+ PDF Chat	The application of implicit Runge-Kutta and collection methods to boundary-value problems	1974	Richard Weiß	8
+	Computational Methods in Ordinary Differential Equations	1973	J. D. Lambert	8
+	A Hybrid Mesh Selection Strategy Based on Conditioning for Boundary Value ODE Problems	2004	Francesca Mazzia Donato Trigiante	8
+ PDF Chat	A Class of Implicit Runge-Kutta Methods for the Numerical Integration of Stiff Ordinary Differential Equations	1975	J. R. Cash	8
+	Numerical solution of boundary value problems for ordinary differential equations	1988	Uri M. Ascher R.M.M. Mattheij R.D. Russell	8
+ PDF Chat	A collocation solver for mixed order systems of boundary value problems	1979	Uri M. Ascher J. Christiansen Robert D. Russell	8
+ PDF Chat	Analysis of Discretization Methods for Ordinary Differential Equations	1974	C. W. Gear Hans J. Stetter	8
+	The integration of stiff initial value problems in ODEs using modified extended backward differentiation formulae	1983	J. R. Cash	7
+	Description of DASSL: a differential/algebraic system solver	1982	Linda Petzold	7
+ PDF Chat	A variable order finite difference method for nonlinear multipoint boundary value problems	1974	M. Lentini Víctor Pereyra	7
+	Numerov’s Method with Deferred Corrections for Two-Point Boundary-Value Problems	1977	James W. Daniel Andrew J. Martin	7
+	Computer solution of ordinary differential equations : the initial value problem	1975	L. F. Shampine Marilyn K. Gordon	7
+	Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations	1995	K. E. Brenan Stephen L. Campbell L. R. Petzold	7
+	Hybrid Mesh Selection Algorithms Based on Conditioning for Two-Point Boundary Value Problems	2006	J. R. Cash Francesca Mazzia	7
+	Second Derivative Multistep Methods for Stiff Ordinary Differential Equations	1974	W. H. Enright	6
+	Efficient Integration Methods for Stiff Systems of Ordinary Differential Equations	1970	W. Liniger Ralph A. Willoughby	6
+	Numerical approximation of nonlinear BVPs by means of BVMs	2002	Francesca Mazzia Ivonne Sgura	6
+	Solving Differential Equations in<i>R</i>: Package<b>deSolve</b>	2010	Karline Soetaert Thomas Petzoldt R. Woodrow Setzer	6
+	The Numerical Solution of Two-Point Boundary Problems in Ordinary Differential Equations.	1959	Peter Henrici L. Fox	6
+	Blended Linear Multistep Methods	1977	Robert D. Skeel Antony King-Yin Kong	6
+	Solving ordinary differential equations by generalized Adams methods: properties and implementation techniques	1998	Felice Iavernaro Francesca Mazzia	6