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Differential equations, Elliptic --- -Elliptic differential equations --- Elliptic partial differential equations --- Linear elliptic differential equations --- Differential equations, Linear --- Differential equations, Partial --- Numerical solutions --- Equations différentielles elliptiques --- Congresses --- Solutions numériques --- Congrès --- Differential equations, Elliptic - Numerical solutions - Congresses

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Functional analysis --- Convergence --- Convergentie --- Galerkin methoden --- Galerkin methods --- Méthodes Galerkin --- Differential equation, Elliptic --- Convergence (Mathématiques) --- Galerkin, Méthode de --- Numerical solutions --- Differential equations, Elliptic --- Convergence. --- Galerkin methods. --- Numerical solutions. --- Convergence (Mathématiques) --- Galerkin, Méthode de --- Differential equations [Elliptic] --- Differential equation, Elliptic - Numerical solutions. --- Differential equations, Elliptic - Numerical solutions.

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The volume originates from the 'Conference on Nonlinear Parabolic Problems' held in celebration of Herbert Amann's 70th birthday at the Banach Center in Bedlewo, Poland. It features a collection of peer-reviewed research papers by recognized experts highlighting recent advances in fields of Herbert Amann's interest such as nonlinear evolution equations, fluid dynamics, quasi-linear parabolic equations and systems, functional analysis, and more.

Differential equations, Elliptic -- Numerical solutions. --- Differential equations, Parabolic -- Numerical solutions. --- Mathematics. --- Differential equations, Parabolic --- Mathematics --- Physical Sciences & Mathematics --- Calculus --- Differential equations, Parabolic. --- Parabolic differential equations --- Parabolic partial differential equations --- Partial differential equations. --- Partial Differential Equations. --- Differential equations, Partial --- Differential equations, partial. --- Partial differential equations

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The aim of this book is to study harmonic maps, minimal and parallel mean curvature immersions in the presence of symmetry. In several instances, the latter permits reduction of the original elliptic variational problem to the qualitative study of certain ordinary differential equations: the authors' primary objective is to provide representative examples to illustrate these reduction methods and their associated analysis with geometric and topological applications. The material covered by the book displays a solid interplay involving geometry, analysis and topology: in particular, it includes a basic presentation of 1-cohomogeneous equivariant differential geometry and of the theory of harmonic maps between spheres.

Cartes harmoniques --- Harmonic maps --- Harmonische kaarten --- Immersies (Wiskunde) --- Immersions (Mathematics) --- Immersions (Mathématiques) --- Harmonic maps. --- Differential equations, Elliptic --- Applications harmoniques --- Immersions (Mathematiques) --- Équations différentielles elliptiques --- Numerical solutions. --- Solutions numériques --- Équations différentielles elliptiques --- Solutions numériques --- Differential equations [Elliptic] --- Numerical solutions --- Embeddings (Mathematics) --- Manifolds (Mathematics) --- Mappings (Mathematics) --- Maps, Harmonic --- Arc length. --- Catenary. --- Clifford algebra. --- Codimension. --- Coefficient. --- Compact space. --- Complex projective space. --- Connected sum. --- Constant curvature. --- Corollary. --- Covariant derivative. --- Curvature. --- Cylinder (geometry). --- Degeneracy (mathematics). --- Diagram (category theory). --- Differential equation. --- Differential geometry. --- Elliptic partial differential equation. --- Embedding. --- Energy functional. --- Equation. --- Existence theorem. --- Existential quantification. --- Fiber bundle. --- Gauss map. --- Geometry and topology. --- Geometry. --- Gravitational field. --- Harmonic map. --- Hyperbola. --- Hyperplane. --- Hypersphere. --- Hypersurface. --- Integer. --- Iterative method. --- Levi-Civita connection. --- Lie group. --- Mathematics. --- Maximum principle. --- Mean curvature. --- Normal (geometry). --- Numerical analysis. --- Open set. --- Ordinary differential equation. --- Parabola. --- Quadratic form. --- Sign (mathematics). --- Special case. --- Stiefel manifold. --- Submanifold. --- Suggestion. --- Surface of revolution. --- Symmetry. --- Tangent bundle. --- Theorem. --- Vector bundle. --- Vector space. --- Vertical tangent. --- Winding number. --- Differential equations, Elliptic - Numerical solutions

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Numerical solutions of differential equations --- Differential equations, Elliptic --- Boundary value problems --- Equations différentielles elliptiques --- Problèmes aux limites --- Numerical solutions --- Data processing --- Solutions numériques --- Informatique --- -Boundary value problems --- -519.6 --- 681.3*G17 --- 681.3*G19 --- Boundary conditions (Differential equations) --- Differential equations --- Functions of complex variables --- Mathematical physics --- Initial value problems --- Elliptic differential equations --- Elliptic partial differential equations --- Linear elliptic differential equations --- Differential equations, Linear --- Differential equations, Partial --- -Data processing --- 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) --- Integral equations: Fredholm equations; integro-differential equations; Volterra equations (Numerical analysis) --- Data processing. --- 681.3*G19 Integral equations: Fredholm equations; integro-differential equations; Volterra 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 Computational mathematics. Numerical analysis. Computer programming --- Equations différentielles elliptiques --- Problèmes aux limites --- Solutions numériques --- 519.6 --- Numerical solutions&delete& --- Boundary value problems - Numerical solutions - Data processing --- Differential equations, Elliptic - Numerical solutions - Data processing