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1999 (7)

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Finite difference methods : theory and applications
Authors: --- ---
ISBN: 1560726458 Year: 1999 Publisher: Commack, New York : Nova Science,

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The art of modeling in science and engineering
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ISBN: 1584880120 Year: 1999 Publisher: Boca Raton (Fla.) : CRC press,

Symmetries and integrability of difference equations
Authors: --- ---
ISBN: 1139886746 1107367506 1107372062 1107362598 1107368855 1299405126 110736504X 0511569432 9781107362598 0521596998 9780511569432 9780521596992 Year: 1999 Volume: 255 Publisher: Cambridge: Cambridge university press,

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There has in recent years been a remarkable growth of interest in the area of discrete integrable systems. Much progress has been made by applying symmetry groups to the study of differential equations, and connections have been made to other topics such as numerical methods, cellular automata and mathematical physics. This volume comprises state of the art articles from almost all the leading workers in this important and rapidly developing area, making it a necessary resource for all researchers interested in discrete integrable systems or related subjects.

Elementary Lie group analysis and ordinary differential equations
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ISBN: 0471974307 9780471974307 Year: 1999 Volume: 4 Publisher: Chichester : Wiley,

Hyperbolic problems : theory, numerics, applications : seventh international conference in Zürich, February 1998
Authors: ---
ISBN: 3764360801 3764360879 3034897448 3034887248 3034887205 3764361239 0817660801 0817660879 0817661239 9783764360801 9783764360870 Year: 1999 Volume: 129-130 Publisher: Basel: Birkhäuser,

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[Infotext]((Kurztext))These are the proceedings of the 7th International Conference on Hyperbolic Problems, held in Zürich in February 1998. The speakers and contributors have been rigorously selected and present the state of the art in this field. The articles, both theoretical and numerical, encompass a wide range of applications, such as nonlinear waves in solids, various computational fluid dynamics from small-scale combustion to relativistic astrophysical problems, multiphase phenomena and geometrical optics. ((Volltext))These proceedings contain, in two volumes, approximately one hundred papers presented at the conference on hyperbolic problems, which has focused to a large extent on the laws of nonlinear hyperbolic conservation. Two-fifths of the papers are devoted to mathematical aspects such as global existence, uniqueness, asymptotic behavior such as large time stability, stability and instabilities of waves and structures, various limits of the solution, the Riemann problem and so on. Roughly the same number of articles are devoted to numerical analysis, for example stability and convergence of numerical schemes, as well as schemes with special desired properties such as shock capturing, interface fitting and high-order approximations to multidimensional systems. The results in these contributions, both theoretical and numerical, encompass a wide range of applications such as nonlinear waves in solids, various computational fluid dynamics from small-scale combustion to relativistic astrophysical problems, multiphase phenomena and geometrical optics.

Introduction to the theory and applications of functional differential equations
Authors: ---
ISBN: 0792355040 9048151481 9401719659 9780792355045 Year: 1999 Volume: 463 Publisher: Dordrecht: Kluwer Academic Publishers,

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Keywords

Functional differential equations --- Differential equations, Functional --- 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) --- 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) --- 517.9 --- 519.6 --- 681.3*G17 --- 681.3 *G18 --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Computational mathematics. Numerical analysis. Computer programming --- Differential equations --- Functional equations --- 517.9 Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Mathematical analysis. --- Analysis (Mathematics). --- Difference equations. --- Functional equations. --- Applied mathematics. --- Engineering mathematics. --- System theory. --- Mathematical models. --- Analysis. --- Difference and Functional Equations. --- Applications of Mathematics. --- Systems Theory, Control. --- Mathematical Modeling and Industrial Mathematics. --- Models, Mathematical --- Simulation methods --- Systems, Theory of --- Systems science --- Science --- Engineering --- Engineering analysis --- Mathematical analysis --- Equations, Functional --- Functional analysis --- Calculus of differences --- Differences, Calculus of --- Equations, Difference --- 517.1 Mathematical analysis --- Philosophy --- Mathematics

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