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Maximum bound principle preserving integrating factor Runge–Kutta methods for semilinear parabolic equations

Journal of computational physics, 2021-08, Vol.439, p.110405, Article 110405

2021

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Some numerical algorithms for solving the highly oscillatory second-order initial value problems

Journal of computational physics, 2014-11, Vol.276, p.235-251

2014

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Energy-conserving Runge–Kutta methods for the incompressible Navier–Stokes equations

Journal of computational physics, 2013-01, Vol.233, p.100-131

Sanderse, B.

2013

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Jacobi–Gauss–Lobatto collocation method for the numerical solution of 1+1 nonlinear Schrödinger equations

Journal of computational physics, 2014-03, Vol.261, p.244-255

2014

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Efficient and stable exponential time differencing Runge–Kutta methods for phase field elastic bending energy models

Journal of computational physics, 2016-07, Vol.316, p.21-38

2016

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Numerical simulation of the blade coating processes using viscoelastic fluid with heat transfer analysis

Polymer engineering and science, 2024-07, Vol.64 (7), p.3088-3100

2024

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An Accelerated Model of Modular Isolated DC/DC Converter Used in Offshore DC Wind Farm

IEEE transactions on power electronics, 2019-04, Vol.34 (4), p.3150-3163

2019

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Two-step Runge-Kutta methods for Volterra integro-differential equations

International journal of computer mathematics, 2024-01, Vol.101 (1), p.37-55

2024

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High accuracy solution of bi-directional wave propagation in continuum mechanics

Journal of computational physics, 2015-10, Vol.298, p.209-236

2015

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Multiple-scale analysis of the parametric-driven sine-Gordon equation with phase shifts

Open Physics, 2022-06, Vol.20 (1), p.526-537

2022

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Relaxation Runge–Kutta Methods for Hamiltonian Problems

Journal of scientific computing, 2020-07, Vol.84 (1), p.17, Article 17

2020

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Autogenerating microsecond solvers for nonlinear MPC: A tutorial using ACADO integrators

Optimal control applications & methods, 2015-09, Vol.36 (5), p.685-704

2015

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Two new embedded pairs of explicit Runge–Kutta methods adapted to the numerical solution of oscillatory problems

Applied mathematics and computation, 2015-02, Vol.252, p.45-57

2015

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RUNGE-KUTTA METHODS FOR THE STRONG APPROXIMATION OF SOLUTIONS OF STOCHASTIC DIFFERENTIAL EQUATIONS

SIAM journal on numerical analysis, 2010-01, Vol.48 (3), p.922-952

Rosler, Andreas

2010

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Exponential Runge–Kutta for the inhomogeneous Boltzmann equations with high order of accuracy

Journal of computational physics, 2014-02, Vol.259, p.402-420

2014

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Analysis of Hamiltonian Boundary Value Methods (HBVMs): A class of energy-preserving Runge–Kutta methods for the numerical solution of polynomial Hamiltonian systems

Communications in nonlinear science & numerical simulation, 2015-03, Vol.20 (3), p.650-667

2015

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Explicit multi-symplectic methods for Klein–Gordon–Schrödinger equations

Journal of computational physics, 2009-05, Vol.228 (9), p.3517-3532

2009

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Construction of Runge–Kutta type methods for solving ordinary differential equations

Applied mathematics and computation, 2014-05, Vol.234, p.179-191

2014

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Numerical solutions of a variable-coefficient nonlinear Schrödinger equation for an inhomogeneous optical fiber

Computers & mathematics with applications (1987), 2018-10, Vol.76 (8), p.1827-1836

2018

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Numerical oscillation and non-oscillation analysis of the mixed type impulsive differential equation with piecewise constant arguments

International journal of computer mathematics, 2023-12, Vol.100 (12), p.2251-2268

2023

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Stability analysis of mathematical model for spread of pest in tea plant by RKM-4 and ABM-2

Journal of difference equations and applications, 2023-02, Vol.29 (2), p.121-142

2023

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Solving semi-linear stiff neutral equations by implicit-explicit Runge-Kutta methods

International journal of computer mathematics, 2020-12, Vol.97 (12), p.2561-2581

2020

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Embedded Runge–Kutta scheme for step-size control in the interaction picture method

Computer physics communications, 2013-04, Vol.184 (4), p.1211-1219

2013

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Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

Journal of computational physics, 2019-02, Vol.378, p.686-707

2019

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Two-step modified collocation methods with structured coefficient matrices

Applied numerical mathematics, 2012-10, Vol.62 (10), p.1325-1334

2012

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Maximum bound principle preserving integrating factor Runge–Kutta methods for semilinear parabolic equations

Some numerical algorithms for solving the highly oscillatory second-order initial value problems

Energy-conserving Runge–Kutta methods for the incompressible Navier–Stokes equations

Jacobi–Gauss–Lobatto collocation method for the numerical solution of 1+1 nonlinear Schrödinger equations

Efficient and stable exponential time differencing Runge–Kutta methods for phase field elastic bending energy models

Numerical simulation of the blade coating processes using viscoelastic fluid with heat transfer analysis

An Accelerated Model of Modular Isolated DC/DC Converter Used in Offshore DC Wind Farm

Two-step Runge-Kutta methods for Volterra integro-differential equations

High accuracy solution of bi-directional wave propagation in continuum mechanics

Multiple-scale analysis of the parametric-driven sine-Gordon equation with phase shifts

Relaxation Runge–Kutta Methods for Hamiltonian Problems

Autogenerating microsecond solvers for nonlinear MPC: A tutorial using ACADO integrators

Two new embedded pairs of explicit Runge–Kutta methods adapted to the numerical solution of oscillatory problems

RUNGE-KUTTA METHODS FOR THE STRONG APPROXIMATION OF SOLUTIONS OF STOCHASTIC DIFFERENTIAL EQUATIONS

Exponential Runge–Kutta for the inhomogeneous Boltzmann equations with high order of accuracy

Analysis of Hamiltonian Boundary Value Methods (HBVMs): A class of energy-preserving Runge–Kutta methods for the numerical solution of polynomial Hamiltonian systems

Explicit multi-symplectic methods for Klein–Gordon–Schrödinger equations

Construction of Runge–Kutta type methods for solving ordinary differential equations

Numerical solutions of a variable-coefficient nonlinear Schrödinger equation for an inhomogeneous optical fiber

Numerical oscillation and non-oscillation analysis of the mixed type impulsive differential equation with piecewise constant arguments

Stability analysis of mathematical model for spread of pest in tea plant by RKM-4 and ABM-2

Solving semi-linear stiff neutral equations by implicit-explicit Runge-Kutta methods

Embedded Runge–Kutta scheme for step-size control in the interaction picture method

Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

Two-step modified collocation methods with structured coefficient matrices

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