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Book
Stiff computation
Author:
ISBN: 0195034538 9780195034530 Year: 1985 Publisher: New York (N.Y.): Oxford university press


Book
Stiff differential systems
Author:
ISBN: 0306307979 1468421026 146842100X 9780306307973 Year: 1974 Publisher: New York (N.Y.): Plenum

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Keywords

Numerical solutions of differential equations --- Differential equations --- Stiff computation (Differential equations) --- Equations différentielles --- Equations différentielles difficiles --- Numerical solutions --- Congresses --- Solutions numériques --- Congrès --- -Stiff computation (Differential equations) --- 519.6 --- 681.3*G17 --- Computation, Stiff (Differential equations) --- Equations, Stiff (Differential equations) --- Stiff equations (Differential equations) --- Stiff systems (Differential equations) --- Systems, Stiff (Differential equations) --- Differential equations, Partial --- Equations, Differential --- Bessel functions --- Calculus --- -Congresses --- Computational mathematics. Numerical analysis. Computer programming --- Ordinary differential equations: boundary value problems; convergence and stability; error analysis; initial value problems; multistep methods; single step methods; stiff equations (Numerical analysis) --- Congresses. --- 681.3*G17 Ordinary differential equations: boundary value problems; convergence and stability; error analysis; initial value problems; multistep methods; single step methods; stiff equations (Numerical analysis) --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- 517.91 Differential equations --- Stiff computation (Differential equations). --- Equations différentielles --- Equations différentielles difficiles --- Solutions numériques --- Congrès --- Numerical solutions&delete& --- 517.91 --- Numerical solutions&delete&&delete& --- Differential equations - Numerical solutions - Congresses

Numerical solution of time-dependent advection-diffusion-reaction equations
Authors: ---
ISSN: 01793632 ISBN: 9783642057076 3540034404 9783540034407 3642057071 3662090171 Year: 2010 Volume: 33 Publisher: Berlin ; : Springer,

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"This book describes numerical methods for partial differential equations (PDEs) coupling advection, diffusion and reaction terms, encompassing methods for hyperbolic, parabolic and stiff and nonstiff ordinary differential equations (ODEs). The emphasis lies on time-dependent transport-chemistry problems, describing e.g. the evolution of concentrations in environmental and biological applications. Along with the common topics of stability and convergence, much attention is paid on how to prevent spurious, negative concentrations and oscillations, both in space and time. Many of the theoretical aspects are illustrated by numerical experiments on models from biology, chemistry and physics. A unified approach is followed by emphasizing the method of lines or semi-discretization. In this regard this book differs substantially from more specialized textbooks which deal exclusively with either PDEs or ODEs. This book treats integration methods suitable for both classes of problems and thus is of interest to PDE researchers unfamiliar with advanced numerical ODE methods, as well as to ODE researchers unaware of the vast amount of interesting results on numerical PDEs". -- Cover.


Book
Stability of Runge-Kutta methods for stiff nonlinear differential equations
Authors: ---
ISBN: 0444876340 9780444876348 Year: 1984 Volume: 2 Publisher: Amsterdam North-Holland

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Abstract

Keywords

Ordinary differential equations --- Differential equations, Nonlinear --- Stiff computation (Differential equations) --- Runge-Kutta formulas --- Numerical solutions --- 517.9 --- -Runge-Kutta formulas --- 519.62 --- 681.3 *G18 --- 681.3*G17 --- 681.3*N4 --- Computation, Stiff (Differential equations) --- Equations, Stiff (Differential equations) --- Stiff equations (Differential equations) --- Stiff systems (Differential equations) --- Systems, Stiff (Differential equations) --- Differential equations --- Differential equations, Partial --- Runge-Kutta methods --- Nonlinear differential equations --- Nonlinear theories --- Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Numerical methods for solution of ordinary differential equations --- Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Ordinary differential equations: boundary value problems; convergence and stability; error analysis; initial value problems; multistep methods; single step methods; stiff equations (Numerical analysis) --- Computerwetenschap--?*N4 --- Runge-Kutta formulas. --- Numerical solutions. --- Stiff computation (Differential equations). --- 681.3*G17 Ordinary differential equations: boundary value problems; convergence and stability; error analysis; initial value problems; multistep methods; single step methods; stiff equations (Numerical analysis) --- 681.3 *G18 Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- 519.62 Numerical methods for solution of ordinary differential equations --- 517.9 Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Numerical analysis --- Differential equations, Nonlinear - Numerical solutions

Numerical methods for stiff equations and singular perturbation problems
Author:
ISBN: 9027711070 9789027711076 Year: 1981 Volume: 5 Publisher: Dordrecht : D. Reidel,

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Keywords

Numerical solutions of differential equations --- Differential equations --- Perturbation (Mathematics) --- Stiff computation (Differential equations) --- Numerical solutions --- -Perturbation (Mathematics) --- #TCPW N4.1 --- 519.6 --- 681.3*G17 --- Computation, Stiff (Differential equations) --- Equations, Stiff (Differential equations) --- Stiff equations (Differential equations) --- Stiff systems (Differential equations) --- Systems, Stiff (Differential equations) --- Differential equations, Partial --- Perturbation equations --- Perturbation theory --- Approximation theory --- Dynamics --- Functional analysis --- Mathematical physics --- Equations, Differential --- Bessel functions --- Calculus --- Computational mathematics. Numerical analysis. Computer programming --- Ordinary differential equations: boundary value problems; convergence and stability; error analysis; initial value problems; multistep methods; single step methods; stiff equations (Numerical analysis) --- Numerical solutions. --- 681.3*G17 Ordinary differential equations: boundary value problems; convergence and stability; error analysis; initial value problems; multistep methods; single step methods; stiff equations (Numerical analysis) --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- 517.91 Differential equations --- Perturbation (Mathematics). --- Stiff computation (Differential equations). --- 517.91 --- Singular perturbations (Mathematics) --- Équations différentielles --- Perturbations singulières (mathématiques) --- Numerical solutions&delete& --- Differential equations. --- Équations différentielles. --- Perturbations singulières (mathématiques) --- Differential equations - Numerical solutions --- Equations differentielles ordinaires --- Methodes numeriques


Book
Chromosome identification : technique and applications in biology and medicine : proceedings of the twenty-third Nobel symposium held [from 25 september to 27 september 1972]
Authors: --- --- ---
ISBN: 0121630501 9780121630508 Year: 1973 Publisher: Stockholm : New York Londres : Nobel foundation Academic Press,

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Keywords

Chromosomes --- Karyotypes --- Congresses --- 681.5.016 --- -Computer algorithms --- Differential equations --- -Iterative methods (Mathematics) --- Numerical integration --- Stiff computation (Differential equations) --- #TELE:d.d. Prof. A. J. J. Oosterlinck --- Computation, Stiff (Differential equations) --- Equations, Stiff (Differential equations) --- Stiff equations (Differential equations) --- Stiff systems (Differential equations) --- Systems, Stiff (Differential equations) --- Differential equations, Partial --- Integration, Numerical --- Mechanical quadrature --- Quadrature, Mechanical --- Definite integrals --- Interpolation --- Numerical analysis --- Iteration (Mathematics) --- Equations, Differential --- Bessel functions --- Calculus --- Algorithms --- Chromosome theory --- Cell nuclei --- Crossing over (Genetics) --- Cytotaxonomy --- Genetics --- Karyokinesis --- Linkage (Genetics) --- Automatic control engineering. Control systems, techniques, equipment. Cybernetic and automation technology--?.016 --- Numerical solutions --- Computer algorithms. --- Iterative methods (Mathematics) --- Numerical integration. --- Numerical solutions. --- 517.91 Differential equations --- 681.5.016 Automatic control engineering. Control systems, techniques, equipment. Cybernetic and automation technology--?.016 --- Iterative methods (Mathematics). --- Stiff computation (Differential equations). --- -Chromosomes --- Ordinary differential equations: boundary value problems; convergence and stability; error analysis; initial value problems; multistep methods; single step methods; stiff equations (Numerical analysis) --- 681.3*G17 Ordinary differential equations: boundary value problems; convergence and stability; error analysis; initial value problems; multistep methods; single step methods; stiff equations (Numerical analysis) --- -519.6 --- 681.3*G17 --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Computational mathematics. Numerical analysis. Computer programming --- Chromosome abnormalities --- Numerical solutions of differential equations --- 517.91 --- Initial value problems --- Équations différentielles --- Problèmes aux valeurs initiales --- Numerical solutions&delete& --- Équations différentielles. --- Problèmes aux valeurs initiales. --- Differential equations. --- Initial value problems. --- Problèmes aux valeurs initiales --- Karyotypes - Congresses --- Chromosomes - Congresses --- Analyse numerique --- Equations differentielles --- -Congresses --- Chromosomes, human

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