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The subject of this textbook is the mathematical theory of singular perturbations, which despite its respectable history is still in a state of vigorous development. Singular perturbations of cumulative and of boundary layer type are presented. Attention has been given to composite expansions of solutions of initial and boundary value problems for ordinary and partial differential equations, linear as well as quasilinear; also turning points are discussed. The main emphasis lies on several methods of approximation for solutions of singularly perturbed differential equations and on the mathem
Singular perturbations (Mathematics) --- Perturbations singulières (Mathématiques) --- Perturbations singulières (Mathématiques) --- ELSEVIER-B EPUB-LIV-FT --- Singularities (Mathematics) --- Geometry, Algebraic --- Differential equations --- Perturbation (Mathematics) --- Asymptotic theory
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Elastic plates and shells --- Spectral theory (Mathematics) --- Singular perturbations (Mathematics) --- Plaques et coques élastiques --- Spectre (Mathématiques) --- Perturbations singulières (Mathématiques) --- Vibration --- Congresses --- Congresses. --- Congresses. --- Vibration --- Congrès --- Congrès --- Congrès
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Differential equations --- Mathematical physics --- Boundary value problems --- Singular perturbations (Mathematics) --- Asymptotic expansions. --- Problèmes aux limites --- Perturbations singulières (Mathématiques) --- Développements asymptotiques --- Numerical solutions. --- Solutions numériques --- Asymptotic expansions --- Numerical solutions --- -Singular perturbations (Mathematics) --- Perturbation (Mathematics) --- Boundary conditions (Differential equations) --- Functions of complex variables --- Initial value problems --- Asymptotic developments --- Asymptotes --- Convergence --- Difference equations --- Divergent series --- Functions --- Numerical analysis --- Asymptotic theory --- Singular perturbations (Mathematics). --- Problèmes aux limites --- Perturbations singulières (Mathématiques) --- Développements asymptotiques --- Solutions numériques --- Équations différentielles --- Perturbations singulières (mathématiques) --- Differential equations. --- Équations différentielles. --- Perturbations singulières (mathématiques) --- Boundary value problems - Numerical solutions --- Equations differentielles --- Problemes aux limites
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51 <082.1> --- Mathematics--Series --- Differential games. --- Jeux différentiels --- Perturbations singulières (Mathématiques) --- Jeux différentiels --- Partial differential equations --- Singular perturbations (Mathematics) --- Differential equations, Partial. --- Differential equations, Partial --- Differential games --- Differential equations --- Perturbation (Mathematics) --- Games, Differential --- Game theory --- Asymptotic theory --- Equations aux dérivées partielles --- Perturbations singulières (mathématiques) --- Équations aux dérivées partielles --- Jeux différentiels.
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Differential equations --- Perturbation (Mathematics) --- Boundary layer --- Equations differentielles --- Perturbation (Mathématiques) --- Couche limite --- Asymptotic theory --- Théorie asymptotique --- 517 --- -Perturbation (Mathematics) --- Perturbation equations --- Perturbation theory --- Approximation theory --- Dynamics --- Functional analysis --- Mathematical physics --- Equations, Differential --- Bessel functions --- Calculus --- Aerodynamics --- Fluid dynamics --- Analysis --- Boundary layer. --- Asymptotic theory. --- 517.91 Differential equations --- 517 Analysis --- Perturbation (Mathematics). --- Perturbation (Mathématiques) --- Théorie asymptotique --- ELSEVIER-B EPUB-LIV-FT --- 517.91 --- Numerical solutions --- Singular perturbations (Mathematics) --- Équations différentielles --- Perturbations singulières (mathématiques) --- Numerical solutions&delete& --- Differential equations. --- Équations différentielles. --- Perturbations singulières (mathématiques) --- Differential equations - Asymptotic theory --- Theorie asymptotique
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Numerical analysis --- Differential equations --- Differential equations, Partial --- Singular perturbations (Mathematics) --- Control theory --- Mathematical optimization --- Equations aux dérivées partielles --- Perturbations singulières (Mathématiques) --- Théorie de la commande --- Optimisation mathématique --- 517.9 --- Perturbation (Mathematics) --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Partial differential equations --- Dynamics --- Machine theory --- Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Asymptotic theory --- Control theory. --- Differential equations, Partial. --- Mathematical optimization. --- Singular perturbations (Mathematics). --- 517.9 Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Equations aux dérivées partielles --- Perturbations singulières (Mathématiques) --- Théorie de la commande --- Optimisation mathématique --- Equations aux derivees partielles --- Perturbations singulieres --- Theorie du controle --- Calcul des variations --- Optimisation --- Controle optimal
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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
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