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Proceedings of the 1990 ACM/IEEE conference on Supercomputing

Computations involving differential operators and their actions on functions

ISSAC '91 Proceedings of the 1991 international symposium on Symbolic and algebraic computation

A modified Adams method for nonstiff and mildly stiff initial value problems

ACM Transactions on Mathematical Software (TOMS)

Parallel ODE solvers

ICS '90 Proceedings of the 4th international conference on Supercomputing

Generation of high-order interpolants for explicit Runge-Kutta pairs

ACM Transactions on Mathematical Software (TOMS)

Runge-Kutta methods for numerical solution of stochastic differential equations

Journal of Computational and Applied Mathematics

Additive Runge-Kutta methods for the resolution of linear parabolic problems

Journal of Computational and Applied Mathematics - Special issue: Proceedings of the 9th International Congress on computational and applied mathematics

Explicit methods based on a class of four stage fourth order Runge-Kutta methods for preserving quadratic laws

Journal of Computational and Applied Mathematics - Special issue: Proceedings of the 9th International Congress on computational and applied mathematics

Toward Non Commutative Numerical Analysis: High Order Integration in Time

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Absorbing Boundary Conditions of the Second Order for the Pseudospectral Chebyshev Methods for Wave Propagation

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Strong Stability Preserving Properties of Runge–Kutta Time Discretization Methods for Linear Constant Coefficient Operators

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Stability of Gauss–Radau Pseudospectral Approximations of the One-Dimensional Wave Equation

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IEEE Computational Science & Engineering

Optimized Runge-Kutta pairs for problems with oscillating solutions

Journal of Computational and Applied Mathematics

A note on stability of pseudospectral methods for wave propagation

Journal of Computational and Applied Mathematics

An improved class of generalized Runge--Kutta methods for stiff problems-part I: the scalar case

Applied Mathematics and Computation

A collocation formulation of multistep methods for variable step-size extensions

Applied Numerical Mathematics

Blended implementation of block implicit methods for ODEs

Applied Numerical Mathematics

Parallel implicit predictor corrector methods

Applied Numerical Mathematics

Mono-implicit Runge-Kutta formulae for the numerical solution of second order nonlinear two-point boundary value problems

Journal of Computational and Applied Mathematics

Explicit mixed finite order Runge-Kutta methods

Applied Numerical Mathematics

Additive Runge-Kutta schemes for convection-diffusion-reaction equations

Applied Numerical Mathematics

Symplectic Methods for Separable Hamiltonian Systems

ICCS '02 Proceedings of the International Conference on Computational Science-Part III

Two Step Runge-Kutta-Nyström Methods for y'' = f(x, y) and P-Stability

ICCS '02 Proceedings of the International Conference on Computational Science-Part III

Solvability of Runge-Kutta and Block-BVMs Systems Applied to Scalar ODEs

NAA '00 Revised Papers from the Second International Conference on Numerical Analysis and Its Applications

Increment formulations for rounding error reduction in the numerical solution of structured differential systems

Future Generation Computer Systems - Special issue: Geometric numerical algorithms

A general four-parameter non-FSAL embedded Runge--Kutta algorithm of orders 6 and 4 in seven stages

Applied Mathematics and Computation

A highly stable deferred correction scheme with interpolant for systems of nonlinear two-point boundary value problems

Journal of Computational and Applied Mathematics

PMIRKDC: a parallel mono-implicit Runge--Kutta code with defect control for boundary value ODEs

Parallel Computing

Spectral Versus Pseudospectral Solutions of the Wave Equation by Waveform Relaxation Methods

Journal of Scientific Computing

B-convergence of general linear methods for stiff problems

Applied Numerical Mathematics

Exponential fitted Runge--Kutta methods of collocation type: fixed or variable knot points?

Journal of Computational and Applied Mathematics

Isospectral-like flows and eigenvalue problem

Future Generation Computer Systems - Selected papers on theoretical and computational aspects of structural dynamical systems in linear algebra and control

On enumeration problems in Lie-Butcher theory

Future Generation Computer Systems - Selected papers on theoretical and computational aspects of structural dynamical systems in linear algebra and control

Runge-Kutta methods with minimal dispersion and dissipation for problems arising from computational acoustics

ICCMSE '03 Proceedings of the international conference on Computational methods in sciences and engineering

An adaptive timestepping algorithm for stochastic differential equations

Journal of Computational and Applied Mathematics

Two-step error estimators for implicit Runge--Kutta methods applied to stiff systems

ACM Transactions on Mathematical Software (TOMS)

Multi-adaptive time integration

Applied Numerical Mathematics - Special issue: Workshop on innovative time integrators for PDEs

Semi-implicit projection methods for incompressible flow based on spectral deferred corrections

Applied Numerical Mathematics - Special issue: Workshop on innovative time integrators for PDEs

Stability of Runge--Kutta methods in the numerical solution of equation u'(t) = au(t) + a0u([t])

Journal of Computational and Applied Mathematics

The BiM code for the numerical solution of ODEs

Journal of Computational and Applied Mathematics - Special Issue: Proceedings of the 10th international congress on computational and applied mathematics (ICCAM-2002)

Absolute exponential stability of recurrent neural networks with Lipschitz-continuous activation functions and time delays

Neural Networks

On Strong Stability Preserving Time Discretization Methods

Journal of Scientific Computing

Fast high order ADER schemes for linear hyperbolic equations

Journal of Computational Physics

Are high order variable step equistage initializers better than standard starting algorithms?

Journal of Computational and Applied Mathematics

Time-stepping Padé-Petrov-Galerkin models for hydraulic jump simulation

Mathematics and Computers in Simulation

Runge-Kutta methods with minimal dispersion and dissipation for problems arising from computational acoustics

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Efficient time integrators in the numerical method of lines

Journal of Computational and Applied Mathematics - Special issue on the method of lines: Dedicated to Keith Miller

Construction and Implementation of General Linear Methods for Ordinary Differential Equations: A Review

Journal of Scientific Computing

Fourth-Order Runge---Kutta Schemes for Fluid Mechanics Applications

Journal of Scientific Computing

Stage value predictors for additive and partitioned Runge-Kutta methods

Applied Numerical Mathematics

A staggered grid, high-order accurate method for the incompressible Navier-Stokes equations

Journal of Computational Physics

Stability results for linearly implicit fractional step discretizations of non-linear time dependent parabolic problems

Applied Numerical Mathematics

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ACM SIGGRAPH 2006 Courses

Automatic differentiation of explicit Runge-Kutta methods for optimal control

Computational Optimization and Applications

Nordsieck representation of two-step Runge-Kutta methods for ordinary differential equations

Applied Numerical Mathematics - Tenth seminar on and differential-algebraic equations (NUMDIFF-10)

On the positivity step size threshold of Runge-Kutta methods

Applied Numerical Mathematics - Tenth seminar on and differential-algebraic equations (NUMDIFF-10)

Arbitrary high order non-oscillatory finite volume schemes on unstructured meshes for linear hyperbolic systems

Journal of Computational Physics

An additive semi-implicit Runge--Kutta family of schemes for nonstiff systems

Applied Numerical Mathematics

Semi discrete discontinuous Galerkin methods and stage-exceeding-order, strong-stability-preserving Runge-Kutta time discretizations

Journal of Computational Physics

Fourth-and sixth-order commutator-free Magnus integrators for linear and non-linear dynamical systems

Applied Numerical Mathematics

Input-to-state stability of Runge-Kutta methods for nonlinear control systems

Journal of Computational and Applied Mathematics

Blended implicit methods for solving ODE and DAE problems, and their extension for second-order problems

Journal of Computational and Applied Mathematics

Error analysis of variable stepsize Runge-Kutta methods for a class of multiply-stiff singular perturbation problems

Computers & Mathematics with Applications

A new adaptive Runge-Kutta method for stochastic differential equations

Journal of Computational and Applied Mathematics

Stability of Runge-Kutta methods for the alternately advanced and retarded differential equations with piecewise continuous arguments

Computers & Mathematics with Applications

Continuous parallel-iterated RKN-type PC methods for nonstiff IVPs

Applied Numerical Mathematics

Improved parallel-iterated pseudo two-step RK methods for nonstiff IVPs

Applied Numerical Mathematics

Classification of stochastic Runge-Kutta methods for the weak approximation of stochastic differential equations

Mathematics and Computers in Simulation

Numerical solution of an industrial robot arm control problem using the RK Butcher algorithm

International Journal of Computer Applications in Technology

Characterizations and construction of Poisson/symplectic and symmetric multi-revolution implicit Runge--Kutta methods of high order

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Testing the accuracy of a data assimilation algorithm

International Journal of Computational Science and Engineering

The parallel three-processor fifth order diagonally implicit Runge-Kutta methods for solving ordinary differential equations

MATH'07 Proceedings of the 12th WSEAS International Conference on Applied Mathematics

Stability analysis for linear discretisations of the advection equation with Runge-Kutta time integration

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Mixed task and data parallel executions in general linear methods

Scientific Programming

Symbolic derivation of order conditions for hybrid Numerov-type methods solving y˝=f(x,y)

Journal of Computational and Applied Mathematics

Approximation of reachable sets by direct solution methods for optimal control problems

Optimization Methods & Software

Asymptotic stability of numerical methods for linear delay parabolic differential equations

Computers & Mathematics with Applications

Trigonometrically-fitted ARKN methods for perturbed oscillators

Applied Numerical Mathematics

Construction of highly stable parallel two-step Runge-Kutta methods for delay differential equations

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ADIFOR-Generating Derivative Codes from Fortran Programs

Scientific Programming

Numerical methods for simulation of guitar distortion circuits

Computer Music Journal

Low-storage Runge--Kutta methods for stochastic differential equations

Applied Numerical Mathematics

Twostep-by-twostep PIRK-type PC methods with continuous output formulas

Journal of Computational and Applied Mathematics

Strong stability of singly-diagonally-implicit Runge--Kutta methods

Applied Numerical Mathematics

Time step restrictions for Runge-Kutta discontinuous Galerkin methods on triangular grids

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Three-stage stochastic Runge-Kutta methods for stochastic differential equations

Journal of Computational and Applied Mathematics

Recent advances in linear analysis of convergence for splittings for solving ODE problems

Applied Numerical Mathematics

General linear methods for ordinary differential equations

Mathematics and Computers in Simulation

RK-Butcher algorithms for singular system-based electronic circuit

International Journal of Computer Mathematics

Strong stability preserving hybrid methods

Applied Numerical Mathematics

High-accuracy large-step explicit Runge-Kutta (HALE-RK) schemes for computational aeroacoustics

Journal of Computational Physics

A general strategy for the optimization of Runge-Kutta schemes for wave propagation phenomena

Journal of Computational Physics

Solving differential equations with constructed neural networks

Neurocomputing

Block 6(5) and 7(6) explicit Runge-Kutta formulae

Applied Numerical Mathematics

Stage value predictors for additive and partitioned Runge--Kutta methods

Applied Numerical Mathematics

Nordsieck representation of two-step Runge--Kutta methods for ordinary differential equations

Applied Numerical Mathematics

On the positivity step size threshold of Runge--Kutta methods

Applied Numerical Mathematics

Stability of a saddle node bifurcation under numerical approximations

Computers & Mathematics with Applications

Runge-Kutta methods with minimal dispersion and dissipation for problems arising from computational acoustics

Journal of Computational and Applied Mathematics - Special issue: Selected papers of the international conference on computational methods in sciences and engineering (ICCMSE-2003)

A one-step 7-stage Hermite-Birkhoff-Taylor ODE solver of order 11

Journal of Computational and Applied Mathematics

Optimal time advancing dispersion relation preserving schemes

Journal of Computational Physics

Two step Runge-Kutta-Nyström methods for oscillatory problems based on mixed polynomials

ICCS'03 Proceedings of the 2003 international conference on Computational science: PartII

Order conditions for Volterra Runge--Kutta methods

Applied Numerical Mathematics

A survey of interval Runge-Kutta and multistep methods for solving the initial value problem

PPAM'07 Proceedings of the 7th international conference on Parallel processing and applied mathematics

General linear methods for Volterra integral equations

Journal of Computational and Applied Mathematics

Two-step Runge-Kutta Methods with Quadratic Stability Functions

Journal of Scientific Computing

Ordinary differential equations with the aid of lagrange-burmann expansions

CASC'10 Proceedings of the 12th international conference on Computer algebra in scientific computing

Stein implicit Runge-Kutta methods with high stage order for large-scale ordinary differential equations

Applied Numerical Mathematics

On the derivation of explicit two-step peer methods

Applied Numerical Mathematics

Specialized sparse matrices solver in the chemical part of an environmental model

NMA'10 Proceedings of the 7th international conference on Numerical methods and applications

Continuous Block $\theta$-Methods for Ordinary and Delay Differential Equations

SIAM Journal on Scientific Computing

H∞ synchronization of chaotic systems via delayed feedback control

International Journal of Automation and Computing

Integrating rotation from angular velocity

Advances in Engineering Software

Graph-based fire synthesis

SCA '11 Proceedings of the 2011 ACM SIGGRAPH/Eurographics Symposium on Computer Animation

A class of collocation methods for numerical integration of initial value problems

Computers & Mathematics with Applications

Continuous block implicit hybrid one-step methods for ordinary and delay differential equations

Applied Numerical Mathematics

Multilayer perceptrons and radial basis function neural network methods for the solution of differential equations: A survey

Computers & Mathematics with Applications

Selection strategies for set-valued runge-kutta methods

NAA'04 Proceedings of the Third international conference on Numerical Analysis and its Applications

A general family of two step Runge-Kutta-Nyström methods for y″ = f(x,y) based on algebraic polynomials

ICCS'06 Proceedings of the 6th international conference on Computational Science - Volume Part IV

Local linearization-runge kutta (LLRK) methods for solving ordinary differential equations

ICCS'06 Proceedings of the 6th international conference on Computational Science - Volume Part I

On some stability properties of the richardson extrapolation applied together with the θ-method

LSSC'09 Proceedings of the 7th international conference on Large-Scale Scientific Computing

Subquadrature expansions for TSRK methods

Numerical Algorithms

Quaternion-based dynamics of geometrically nonlinear spatial beams using the Runge-Kutta method

Finite Elements in Analysis and Design

Runge-Kutta methods and Banach algebras

Journal of Computational and Applied Mathematics

Numerical methods for impulsive differential equation

Mathematical and Computer Modelling: An International Journal

Construction of explicit runge-kutta pairs with stiffness detection

Mathematical and Computer Modelling: An International Journal

Legendre-Gauss-Radau Collocation Method for Solving Initial Value Problems of First Order Ordinary Differential Equations

Journal of Scientific Computing

Two-step modified collocation methods with structured coefficient matrices

Applied Numerical Mathematics

Search for highly stable two-step Runge-Kutta methods

Applied Numerical Mathematics

General linear methods for y˝=f(y(t))

Numerical Algorithms

Numerical search for algebraically stable two-step almost collocation methods

Journal of Computational and Applied Mathematics

Mathematical implementation of interaction between malaria and immune system

ICARIS'12 Proceedings of the 11th international conference on Artificial Immune Systems

Trigonometrically fitted block Numerov type method for y'= f(x, y, y')

Numerical Algorithms

Implications of order reduction for implicit Runge-Kutta methods

Numerical Algorithms

Using gene expression programming to infer gene regulatory networks from time-series data

Computational Biology and Chemistry

A hybrid Hermite-discontinuous Galerkin method for hyperbolic systems with application to Maxwell's equations

Journal of Computational Physics

Construction of algebraically stable DIMSIMs

Journal of Computational and Applied Mathematics

Search for efficient general linear methods for ordinary differential equations

Journal of Computational and Applied Mathematics

P-stable general Nyström methods for y˝=f(y(t))

Journal of Computational and Applied Mathematics

Two-derivative Runge---Kutta methods for PDEs using a novel discretization approach

Numerical Algorithms

Extrapolation-based implicit-explicit general linear methods

Numerical Algorithms