Results 161 to 170 of about 1,700 (198)
Some of the next articles are maybe not open access.
A parallel stiff ODE solver based on MIRKs
Advances in Computational Mathematics, 1997The theory for parallelization of multi-implicit Runge-Kutta methods (MIRKs) ``across the method'' , i.e. for an \(s\)-stage method of order \(s\) with \(p=s\) processors can be used. Discussion of implementation and presentation of numerical results on an IBM SP with the ParSODES code for methods of order 5 and 8.
openaire +1 more source
Diagonally implicit Runge–Kutta methods for stiff ODEs
Applied Numerical Mathematics, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kennedy, Christopher A. +1 more
openaire +1 more source
Practical improvements to SIMPR codes for stiff ODEs
Proceedings of the conference on Numerical ordinary differential equations, 1989The paper discusses codes using extrapolation of the semi-implicit mid- point rule for the solution of stiff ordinary differential equations (ODEs). Some comparisons are made between applying such a code to systems of equations in autonomous form or non-autonomous form.
openaire +1 more source
Reduced storage matrix methods in stiff ODE systems
Proceedings of the conference on Numerical ordinary differential equations, 1989In a previous paper [SIAM J. Numer. Anal. 23, 610-638 (1986; Zbl 0615.65078)] the authors considered the use of Krylov-subspace projection methods in solving large stiff systems of ODE's that arise from PDE systems by the method of lines. In this long paper (50 pages) the investigation is continued with particular emphasis on the importance of ...
Peter N. Brown, Alan C. Hindmarsh
openaire +2 more sources
High order implicit method for odes stiff systems
Korean Journal of Computational & Applied Mathematics, 2001A doubly implicit A-stable difference scheme with order six is proposed for the numerical solution of stiff systems of ordinary differential equations (ODEs). The integration step is selected according a difference scheme derived from the proposed method and a one step scheme of fourth order of approximation. Numerical tests are also included.
Vasilyeva, Tatiana, Vasilev, Eugeny
openaire +2 more sources
Efficient implementation of a 2nd derivative method for stiff ODEs
Computing, 1994Padé or Obrechkoff methods based on diagonal or sub-diagonal Padé approximations for the exponential function usually yield high accuracy and good stability. But the occurrence of higher derivatives makes their implementation difficult. For a third-order sub-diagonal second derivative method, the authors suggest an effective procedure for moderately ...
Ya. Hlynsky, Yu. Panchyshyn
openaire +1 more source
Stiffness and the automatic selection of ODE codes
Journal of Computational Physics, 1984The author describes the basic ideas behind the best known method for the numerical solution of ODEs, discusses error propagation and stiffness and mentions his own code DEASY which is designed to recognize stiffness and choose a suitable method.
openaire +1 more source
A-EBDF: an adaptive method for numerical solution of stiff systems of ODEs
Mathematics and Computers in Simulation, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gholamreza Hojjati +2 more
openaire +2 more sources
A Comparison of Stiff ODE Solvers for Astrochemical Kinetics Problems
Astrophysics and Space Science, 2005AbstractFor Abstract see ChemInform Abstract in Full Text.
openaire +2 more sources
A Single Code for the Solution of Stiff and Nonstiff ODE’
In this interesting paper the authors describe a single code which will be efficient for both stiff and nonstiff problems with a system of first order ordinary differential equations with initial conditions (*) \(y'=f(x,y),y(a)=c\), \(y\in {\mathbb{R}}^ s\). The strategy is as follows: the integration is started with a variable order Adams PECE method.
Hall, G., Suleiman, M. B.
openaire +1 more source