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GRKLib: a Guaranteed Runge Kutta Library
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1006/jsco.2001.0494openalex-snapshot
Introduction to the GiNaC Framework for Symbolic Computation within the C++ Programming Language
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Algorithmic analysis of nonlinear hybrid systems
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Introduction to Numerical Analysis
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Nonlinear Systems: Analysis, Stability, and Control
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Static Analysis-Based Validation of Floating-Point Computations
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An Overview of Semantics for the Validation of Numerical Programs
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PROFIL/BIAS—A fast interval library
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On the remainder of the runge-kutta formula in the theory of ordinary differential equations
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Validated solutions of initial value problems for ordinary differential equations
inferredcites →https://doi.org/10.1023/b:numa.0000049466.96588.a6openalex-snapshot
Guaranteed Nonlinear State Estimator for Cooperative Systems
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Interval Tools for ODEs and DAEs
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Comparing Numerical Methods for Ordinary Differential Equations
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Solving Ordinary Differential Equations Using Taylor Series
inferredcites →https://doi.org/10.2307/2008600openalex-snapshot
The Numerical Analysis of Ordinary Differential Equations; Runge-Kutta and General Linear Methods.
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Guaranteed Control Synthesis for Continuous Systems in Uppaal Tiga
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Cosimulation-Based Control Synthesis
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Symbolic Computation of Local Truncation Error for Approximate B-Series-Based Validated Simulation
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Invariant Verification of Nonlinear Hybrid Automata Networks of Cardiac Cells
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Parsimonious, Simulation Based Verification of Linear Systems
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Abstract Interpretation of the Physical Inputs of Embedded Programs
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A Hybrid Denotational Semantics for Hybrid Systems
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HybridFluctuat: A Static Analyzer of Numerical Programs within a Continuous Environment
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Proving the Correctness of the Implementation of a Control-Command Algorithm
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Linear Approximation of Continuous Systems with Trapezoid Step Functions
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Enclosing Temporal Evolution of Dynamical Systems Using Numerical Methods
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Guaranteed master for interval-based cosimulation
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An improved algorithm for the control synthesis of nonlinear sampled switched systems
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Formally-Verified Round-Off Error Analysis of Runge–Kutta Methods
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Validated B-series and Runge-Kutta pairs
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The abstract domain of Trapezoid Step Functions
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Bounded invariant verification for time-delayed nonlinear networked dynamical systems
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Round-off Error Analysis of Explicit One-Step Numerical Integration Methods
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Abstract Simulation: A Static Analysis of Simulink Models
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Abstracting the Differential Semantics of Rule-Based Models: Exact and Automated Model Reduction
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HySon: Set-based simulation of hybrid systems
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Robustness of Model-Based Simulations
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Analyzing Real Time Linear Control Systems Using Software Verification
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Control of nonlinear switched systems based on validated simulation
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RangeLab: A Static-Analyzer to Bound the Accuracy of Finite-Precision Computations
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Over-Approximation of Fluid Models
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Computing bounded reach sets from sampled simulation traces
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Proofs from simulations and modular annotations
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Proving abstractions of dynamical systems through numerical simulations
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Improving validated computation of Viability Kernels
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Abstract domains for constraint programming with differential equations
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ABS: A formally correct software tool for space-efficient symbolic synthesis
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End-to-End Statistical Model Checking for Parameterization and Stability Analysis of ODE Models
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Optimal Switching Instants for the Control of Hybrid Systems
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Reliable NonLinear Model-Predictive Control via Validated Simulation
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Under the Hood of a Stand-Alone Lagrangian Reachability Tool
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Proving Abstractions of Dynamical Systems through Numerical Simulations
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Safe, Optimal and Compact Strategies for Cyber Physical Systems
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Formalisations d’analyses d’erreurs en analyse numérique et en arithmétique à virgule flottante
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Guaranteed control synthesis for switched space-time dynamical systems
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