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Are the numerical methods and software satisfactory for chemical kinetics?
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/bf01931222openalex-snapshot
Contractive methods for stiff differential equations Part II
inferredcites →https://doi.org/10.1007/bf01932018openalex-snapshot
G-stability is equivalent toA-stability
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Contractive methods for stiff differential equations part I
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On a dangerous property of methods for stiff differential equations
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A special stability problem for linear multistep methods
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Computational methods in ordinary differential equations
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1981 international computing symposium
inferredcites →https://doi.org/10.1016/b978-0-12-436640-4.50015-0openalex-snapshot
Numerical Methods for Mass Action Kinetics
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Numerical Methods for Differential Systems
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Oscillations in chemical systems. IV. Limit cycle behavior in a model of a real chemical reaction
inferredcites →https://doi.org/10.1093/comjnl/15.2.155openalex-snapshot
Numerical Initial Value Problems in Ordinary Differential Equations
inferredcites →https://doi.org/10.1137/0715003openalex-snapshot
Difference Methods for Stiff Ordinary Differential Equations
inferredcites →https://doi.org/10.1137/1.9781611971347openalex-snapshot
Mathematics Applied to Deterministic Problems in the Natural Sciences
inferredcites →https://doi.org/10.1145/355853.355856openalex-snapshot
Initial Value Routines in the NAG Library
inferredcites →https://doi.org/10.2307/2005674openalex-snapshot
Numerical Initial Value Problems in Ordinary Differential Equations
inferredcites →https://doi.org/10.2307/2318706openalex-snapshot
Mathematics Applied to Deterministic Problems in the Natural Sciences.
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Time‐scale decoupling and order reduction for linear time‐varying systems
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Give Your ODEs a Singular Perturbation!
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Approximations of the Models
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Wendepunkts and Canards (Turning Points and Delayed Bifurcations)
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Multiscale Computations for Highly Oscillatory Problems
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Analytic Methods for the Approximate Solution of Singularly Perturbed Systems
inferred← citeshttps://doi.org/10.1007/978-3-642-68220-9_4openalex-snapshot
Larkin — A Software Package for the Numerical Simulation of LARge Systems Arising in Chemical Reaction KINetics
inferred← citeshttps://doi.org/10.1007/bf01389585openalex-snapshot
On transformations of graded matrices, with applications to stiff ODE's
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Remarks on the stability of high-index DAEs with respect to parametric perturbations
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Numerical Integration of Differential Equations and Large Linear Systems
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Two uniform schemes for the singularly perturbed Riccati equation
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Non-negative solutions of ODEs
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On the susceptibility of numerical methods to computational chaos and superstability
inferred← citeshttps://doi.org/10.1016/j.cpc.2009.06.014openalex-snapshot
Solving Differential Matrix Riccati Equations by a piecewise-linearized method based on the conmutant equation
inferred← citeshttps://doi.org/10.1016/j.cpc.2010.11.024openalex-snapshot
Solving differential matrix Riccati equations by a piecewise-linearized method based on diagonal Padé approximants
inferred← citeshttps://doi.org/10.1016/j.procs.2010.04.290openalex-snapshot
A family of BDF algorithms for solving Differential Matrix Riccati Equations using adaptive techniques
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A survey of numerical techniques for solving singularly perturbed ordinary differential equations
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On the Nipp polyhedron algorithm for solving singular perturbation problems
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Mahony's intriguing stiff equations
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A Survey in Mathematics for Industry: Two-timing and matched asymptotic expansions for singular perturbation problems
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Modelling subsurface coupled chemical reactions and fluid flow over long time periods
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On Spurious Behavior of Super-Stable Implicit Methods
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The Modified Newton Method in the Solution of Stiff Ordinary Differential Equations
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Singularly Perturbed Linear Two-Point Boundary Value Problems
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Numerical Multiscale Methods for Coupled Oscillators
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A Riccati Transformation Method for Solving Linear BVP s . II: Computational Aspects
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Numerical Integration of the Differential Riccati Equation and Some Related Issues
inferred← citeshttps://doi.org/10.1137/0732001openalex-snapshot
A Posteriori Error Bounds and Global Error Control for Approximation of Ordinary Differential Equations
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Some Stability Aspects of Schemes for the Adaptive Integration of Siff Initial Value Problems
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On Nonlinear Singularly Perturbed Initial Value Problems
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The Quasi-Steady-State Assumption: A Case Study in Perturbation
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The Numerical Solution of a Challenging Class of Turning Point Problems
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NAIVE SINGULAR PERTURBATION THEORY
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Some aspects of using IV software to solve BVP via a Riccati transformation
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New time-scale criteria for model simplification of bio-reaction systems
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Combustion Kinetics and Sensitivity Analysis Computations
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Some aspects of numerical uncertainties in time-marching to steady-state numerical solutions
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