Search Results - "Jay, Laurent"

A note on approximate Jacobians of implicit Runge–Kutta methods and convergence of modified Newton iterations by Jay, Laurent O., Sokratova, Olga

“…We consider the application of implicit Runge–Kutta (IRK) methods to systems of implicit ordinary differential equations (ODEs). We are especially interested…”
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Efficient methods for nonlinear time fractional diffusion-wave equations and their fast implementations by Huang, Jianfei, Yang, Dandan, Jay, Laurent O.

“…Recently, numerous numerical schemes for solving linear time fractional diffusion-wave equations have been developed. However, most of these methods require…”
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Symplecticness conditions of some low order partitioned methods for non-autonomous Hamiltonian systems by Jay, Laurent O.

“…We consider the application of partitioned Runge-Kutta (PRK) methods to non-autonomous Hamiltonian systems. Necessary and sufficient conditions for the…”
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An asynchronous solver for systems of ODEs linked by a directed tree structure by Small, Scott J., Jay, Laurent O., Mantilla, Ricardo, Curtu, Rodica, Cunha, Luciana K., Fonley, Morgan, Krajewski, Witold F.

“…► Introduces a numerical solver for systems of ODEs linked by a tree structure. ► The emphasized use is for solving hillslope-link river basin models. ►…”
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An integral-balance nonlinear model to simulate changes in soil moisture, groundwater and surface runoff dynamics at the hillslope scale by Curtu, Rodica, Mantilla, Ricardo, Fonley, Morgan, Cunha, Luciana K., Small, Scott J., Jay, Laurent O., Krajewski, Witold F.

“…•We propose a nonlinear ODE model for changes in water storage at the hillslope scale.•The model is tested using data collected in the Shale Hills…”
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Specialized Partitioned Additive Runge-Kutta Methods for Systems of Overdetermined DAEs with Holonomic Constraints by Jay, Laurent O.

“…We consider a general class of systems of overdetermined differential-algebraic equations (ODAEs). We are particularly interested in extending the application…”
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Specialized Runge-Kutta methods for index 2 differential-algebraic equations by Jay, Laurent O.

“…We consider the numerical solution of systems of semi-explicit index 2 differential-algebra\-ic equations (DAEs) by methods based on Runge-Kutta (RK)…”
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Beyond conventional Runge–Kutta methods in numerical integration of ODEs and DAEs by use of structures and local models by Jay, Laurent O.

“…There are two parts in this paper. In the first part we consider an overdetermined system of differential-algebraic equations (DAEs). We are particularly…”
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Stiffness 1952–2012: Sixty years in search of a definition by Söderlind, Gustaf, Jay, Laurent, Calvo, Manuel

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Inexact Simplified Newton Iterations for Implicit Runge-Kutta Methods by Jay, Laurent O.

“…We consider possibly stiff and implicit systems of ordinary differential equations (ODEs). The major difficulty and computational bottleneck in the…”
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Iterative Solution of SPARK Methods Applied to DAEs by Jay, Laurent O

“…In this article a broad class of systems of implicit differential–algebraic equations (DAEs) is considered, including the equations of mechanical systems with…”
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Dual-Rate Integration Using Partitioned Runge-Kutta Methods for Mechanical Systems with Interacting Subsystems by Shome†, Siddhartha S., Haug, Edward J., Jay, Laurent O.

“…A framework is presented allowing dual-rate numerical integration of the equations of mechanical system dynamics to be considered as a form of Partitioned…”
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Approximate compositions of a near identity map by multi-revolution Runge-Kutta methods by CALVO, Manuel, JAY, Laurent O, MONTIJANO, Juan I, RANDEZ, Luis

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Stiffness 1952–2012: Sixty years in search of a definition by Söderlind, Gustaf, Jay, Laurent, Calvo, Manuel

“…Although stiff differential equations is a mature area of research in scientific computing, a rigorous and computationally relevant characterization of…”
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SPECIALIZED PARTITIONED ADDITIVE RUNGE-KUTTA METHODS FOR SYSTEMS OF OVERDETERMINED DAES WITH HOLONOMIC CONSTRAINTS by JAY, Laurent O

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Symplectic Partitioned Runge-Kutta Methods for Constrained Hamiltonian Systems by Jay, Laurent

“…This article deals with the numerical treatment of Hamiltonian systems with holonomic constraints. A class of partitioned Runge-Kutta methods, consisting of…”
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Convergence of Runge-Kutta methods for differential-algebraic systems of index 3 by Jay, Laurent

“…This article deals with convergence results of stiffly accurate implicit Runge-Kutta methods when applied to differential-algebraic equations of index 3 in…”
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An SQP method for the optimal control of large-scale dynamical systems by Gill, Philip E., Jay, Laurent O., Leonard, Michael W., Petzold, Linda R., Sharma, Vivek

“…We propose a sequential quadratic programming (SQP) method for the optimal control of large-scale dynamical systems. The method uses modified multiple shooting…”
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Electronic structure calculations for plane-wave codes without diagonalization by Jay, Laurent O., Kim, Hanchul, Saad, Yousef, Chelikowsky, James R.

“…We present an algorithm to reduce the computational complexity for plane-wave codes used in electronic structure calculations. The proposed algorithm avoids…”
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Convergence of a class of runge-kutta methods for differential-algebraic systems of index 2 by Jay, Laurent

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