Search Results - "Jackiewicz, Z"
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1
Transformed implicit-explicit DIMSIMs with strong stability preserving explicit part
Published in Numerical algorithms (01-08-2019)“…For many systems of differential equations modeling problems in science and engineering, there are often natural splittings of the right hand side into two…”
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2
Explicit Nordsieck methods with extended stability regions
Published in Applied mathematics and computation (15-01-2012)“…We describe the construction of explicit Nordsieck methods of order p and stage order q = p with large regions of absolute stability. We also discuss error…”
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3
Search for highly stable two-step Runge–Kutta methods
Published in Applied numerical mathematics (01-10-2012)“…We describe the search for A-stable and algebraically stable two-step Runge Kutta methods of order p and stage order q=p or q=p−1. The search for A-stable…”
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4
Two-step almost collocation methods for Volterra integral equations
Published in Applied mathematics and computation (15-10-2008)“…In this paper we construct a new class of continuous methods for Volterra integral equations. These methods are obtained by using a collocation technique and…”
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5
Nordsieck methods with computationally verified algebraic stability
Published in Applied mathematics and computation (01-07-2011)“…We describe the search for algebraically stable Nordsieck methods of order p = s and stage order q = p, where s is the number of stages. This search is based…”
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6
General linear methods for Volterra integral equations
Published in Journal of computational and applied mathematics (01-09-2010)“…We investigate the class of general linear methods of order p and stage order q = p for the numerical solution of Volterra integral equations of the second…”
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7
Two-step Runge-Kutta Methods with Quadratic Stability Functions
Published in Journal of scientific computing (01-08-2010)“…We describe the construction of implicit two-step Runge-Kutta methods with stability properties determined by quadratic stability functions. We will aim for…”
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8
Spectral collocation and waveform relaxation methods for nonlinear delay partial differential equations
Published in Applied numerical mathematics (01-03-2006)“…We investigate Chebyshev spectral collocation and waveform relaxation methods for nonlinear delay partial differential equations. Waveform relaxation methods…”
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9
Implementation of DIMSIMs for stiff differential systems
Published in Applied numerical mathematics (01-08-2002)“…Some issues related to the implementation of diagonally implicit multistage integration methods for stiff differential systems are discussed. They include…”
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10
Numerical solution of neutral functional differential equations by Adams methods in divided difference form
Published in Journal of computational and applied mathematics (01-05-2006)“…A variable step and variable order algorithm for the numerical solution of neutral functional differential equations is described. This general purpose…”
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11
Discrete variable methods for delay-differential equations with threshold-type delays
Published in Journal of computational and applied mathematics (15-06-2009)“…We study numerical solution of systems of delay-differential equations in which the delay function, which depends on the unknown solution, is defined…”
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12
Construction and Implementation of General Linear Methods for Ordinary Differential Equations: A Review
Published in Journal of scientific computing (01-10-2005)“…It it the purpose of this paper to review the results on the construction and implementation of diagonally implicit multistage integration methods for ordinary…”
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13
Two-step almost collocation methods for ordinary differential equations
Published in Numerical algorithms (01-03-2010)“…A new class of two-step Runge-Kutta methods for the numerical solution of ordinary differential equations is proposed. These methods are obtained using the…”
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14
A strategy for choosing Gegenbauer reconstruction parameters for numerical stability
Published in Applied mathematics and computation (15-06-2009)“…The Gegenbauer reconstruction method was first proposed in 1992, but in early studies no attempts were made to optimize the relevant parameters of this method…”
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15
Numerical solution of a Fredholm integro-differential equation modelling θ ˙ -neural networks
Published in Applied mathematics and computation (01-02-2008)“…We propose several approaches to the numerical solution of a new Fredholm integro-differential equations modelling neural networks. A solution strategy based…”
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16
Derivation of continuous explicit two-step Runge–Kutta methods of order three
Published in Journal of computational and applied mathematics (15-08-2007)“…We describe a construction of continuous extensions to a new representation of two-step Runge–Kutta methods for ordinary differential equations. This…”
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17
Construction of highly stable parallel two-step Runge-Kutta methods for delay differential equations
Published in Journal of computational and applied mathematics (15-10-2008)Get full text
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18
Construction and implementation of general linear methods for ordinary differential equations: A review
Published in Journal of scientific computing (01-11-2005)“…It it the purpose of this paper to review the results on the construction and implementation of diagonally implicit multistage integration methods for ordinary…”
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19
Construction of two-step Runge–Kutta methods with large regions of absolute stability
Published in Journal of computational and applied mathematics (01-08-2003)“…We describe the construction of explicit two-step Runge–Kutta methods of order p and stage order q= p−1 or q= p with large regions of absolute stability. This…”
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20
Nordsieck representation of two-step Runge–Kutta methods for ordinary differential equations
Published in Applied numerical mathematics (01-05-2005)“…We describe a new representation of explicit two-step Runge–Kutta methods for ordinary differential equations. This representation makes it possible for the…”
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Journal Article Conference Proceeding