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517.9 --- Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Mathematical models. --- Science --- Engineering --- 517.9 Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis
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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.
Difference equations --- Hypergeometric functions --- Symmetry (Physics) --- Functions, Hypergeometric --- Transcendental functions --- Hypergeometric series --- Calculus of differences --- Differences, Calculus of --- Equations, Difference --- 517.96 --- 517.96 Finite differences. Functional and integral equations --- Finite differences. Functional and integral equations --- Congresses --- Congresses. --- Difference equations - Congresses --- Hypergeometric functions - Congresses --- Symmetry (Physics) - Congresses
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517.9 --- Engineering design --- -Nonlinear systems --- -#KVIV:BB --- Systems, Nonlinear --- System theory --- Design, Engineering --- Engineering --- Industrial design --- Strains and stresses --- Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Mathematical models --- Design --- Nonlinear systems --- Mathematical models. --- 517.9 Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- #KVIV:BB --- Engineering design. --- Modeling. --- Mathematics. --- MODELLING --- Nonlinear systems. --- Math --- Science --- Models, Mathematical --- Simulation methods --- Clay modeling --- Modelling --- Molding (Clay, plaster, etc.) --- Clay --- Sculpture --- Technique --- Monograph
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Differential equations --- Numerical solutions. --- 517.9 --- -Lie groups --- 519.6 --- 681.3*G17 --- Groups, Lie --- Lie algebras --- Symmetric spaces --- Topological groups --- Equations, Differential --- Bessel functions --- Calculus --- Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Numerical solutions --- 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) --- Lie groups. --- 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 --- 517.9 Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Lie groups --- 517.91 --- Numerical solutions&delete& --- Differential equations - Numerical solutions.
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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.
Differential equations, Hyperbolic --- Differential equations, Nonlinear --- 519.6 --- 517.9 --- 681.3*G18 --- 681.3 *G18 Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- 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 --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Computational mathematics. Numerical analysis. Computer programming --- Conferences - Meetings --- 681.3 *G18 --- Mathematical analysis. --- Analysis (Mathematics). --- Numerical analysis. --- Applied mathematics. --- Engineering mathematics. --- Analysis. --- Numerical Analysis. --- Mathematical and Computational Engineering. --- Engineering --- Engineering analysis --- Mathematical analysis --- 517.1 Mathematical analysis --- Mathematics --- Differential equations, Hyperbolic - Congresses.
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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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