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Differential geometry : theory and applications / / editors, Philippe G. Ciarlet, Ta-Tsien Li
| Differential geometry : theory and applications / / editors, Philippe G. Ciarlet, Ta-Tsien Li |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Beijing, China, : Higher Education Press |
| Descrizione fisica | 1 online resource (300 p.) |
| Disciplina | 516.36 |
| Altri autori (Persone) |
CiarletPhilippe G
LiDaqian |
| Collana | Series in contemporary applied mathematics |
| Soggetto topico |
Geometry, Differential
Geometry |
| ISBN |
1-281-91177-1
9786611911775 981-277-147-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; Philippe G. Ciarlet: An Introduction to Differential Geometry in R3; Introduction; 1 Three-dimensional differential geometry Outline; 1.1 Curvilinear coordinates; 1.2 Metric tensor; 1.3 Volumes, areas, and lengths in curvilinear coordinates; 1.4 Covariant derivatives of a vector field; 1.5 Necessary conditions satisfied by the metric tensor; the Riemann curvature tensor; 1.6 Existence of an immersion defined on an open set in R3 with a prescribed metric tensor; 1.7 Uniqueness up to isometries of immersions with the same metric tensor
1.8 Continuity of an immersion as a function of its metric tensor2 Differential geometry of surfaces Out line; 2.1 Curvilinear coordinates on a surface; 2.2 First fundamental form; 2.3 Areas and lengths on a surface; 2.4 Second fundamental form; curvature on a surface; 2.5 Principal curvatures; Gaussian curvature; 2.6 Covariant derivatives of a vector field defined on a surface; the Gauss and Weingarten formulas; 2.7 Necessary conditions satisfied by the first and second fundamental forms: the Gauss and Codazzi-Mainardi equations; Gauss' Theorema Ggregium 2.8 Existence of a surface with prescribed first and second fundamental forms2.9 Uniqueness up to proper isometries of surfaces with the same fundamental forms; 2.10 Continuity of a surface as a function of its fundamental forms; References; Philzppe G. Ciarlet, Cristinel Mardare: An Introduction to Shell Theory; Introduction; 1 Three-dimensional theory Outline; 1.1 Notation, definitions, and some basic formulas; 1.2 Equations of equilibrium; 1.3 Constitutive equations of elastic materials; 1.4 The equations of nonlinear and linearized three-dimensional elasticity 1.5 A fundamental lemma of J.L. Lions1.6 Existence theory in linearized three-dimensional elasticity; 1.7 Existence theory in nonlinear three-dimensional elasticity by the implicit function theorem; 1.8 Existence theory in nonlinear three-dimensional elasticity by the minimization of energy (John Ball's approach); 2 Two-dimensional theory Outline; 2.1 A quick review of the differential geometry of surfaces in R3; 2.2 Geometry of a shell; 2.3 The three-dimensional shell equations; 2.4 The two-dimensional approach to shell theory; 2.5 Nonlinear shell models obtained by r-convergence 2.6 Linear shell models obtained by asymptotic analysis2.7 The nonlinear Koiter shell model; 2.8 The linear Koiter shell model; 2.9 Korn's inequalities on a surface; 2.10 Existence, uniqueness, and regularity of the solution to the linear Koiter shell model; References; Dominique Chapelle: Some New Results and Current Challenges in the Finite Element Analysis of Shells; 1 Introduction; 2 Two families of shell finite elements; 2.1 Discretizations of classical shell models; 2.2 General shell elements; 3 Computational reliability issues for thin shells; 3.1 Asymptotic behaviours of shell models 3.2 Asymptotic reliability of shell finite elements |
| Record Nr. | UNINA-9910827585103321 |
| Beijing, China, : Higher Education Press | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Differential geometry and related topics [[electronic resource] ] : proceedings of the International Conference on Modern Mathematics and the International Symposium on Differential Geometry in honour of Professor Su Buchin on the centenary of his birth : Shanghai, China, September 19-23, 2001 / / editors, Gu Chaohao, Hu Hesheng, Li Tatsien
| Differential geometry and related topics [[electronic resource] ] : proceedings of the International Conference on Modern Mathematics and the International Symposium on Differential Geometry in honour of Professor Su Buchin on the centenary of his birth : Shanghai, China, September 19-23, 2001 / / editors, Gu Chaohao, Hu Hesheng, Li Tatsien |
| Pubbl/distr/stampa | River Edge, N.J., : World Scientific, c2002 |
| Descrizione fisica | 1 online resource (ix, 280 p. ) : ill., 1 port |
| Disciplina | 516.36 |
| Altri autori (Persone) |
LiDaqian
GuChaohao HuHesheng <1928-> SuBuqing <1902-2003.> |
| Soggetto topico |
Geometry, Differential
Geometry |
| Soggetto genere / forma | Electronic books. |
| ISBN | 981-277-641-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Asymptotic Behavior of Yang-Mills Flow in Higher Dimensions (Y M Chen et al.); Complete Submanifolds in Euclidean Spaces with Constant Scalar Curvature (Q M Cheng); On Mathematical Ship Lofting (G C Dong et al.); On the Nirenberg Problem (M Ji); Almost Complex Manifolds and a Differential Geometric Criterion for Hyperbolicity (S Kobayashi); Harmonic Maps Between Carnot Spaces (S Nishikawa); A Survey of Complete Manifolds with Bounded Radial Curvature Function (K Shiohama); On the Hensel Lift of a Polynomial (Z X Wan); A Note on Locally Real Hyperbolic Space with Finite Volume (Y H Yang); and other papers. |
| Record Nr. | UNINA-9910451681003321 |
| River Edge, N.J., : World Scientific, c2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Differential geometry and related topics [[electronic resource] ] : proceedings of the International Conference on Modern Mathematics and the International Symposium on Differential Geometry in honour of Professor Su Buchin on the centenary of his birth : Shanghai, China, September 19-23, 2001 / / editors, Gu Chaohao, Hu Hesheng, Li Tatsien
| Differential geometry and related topics [[electronic resource] ] : proceedings of the International Conference on Modern Mathematics and the International Symposium on Differential Geometry in honour of Professor Su Buchin on the centenary of his birth : Shanghai, China, September 19-23, 2001 / / editors, Gu Chaohao, Hu Hesheng, Li Tatsien |
| Pubbl/distr/stampa | River Edge, N.J., : World Scientific, c2002 |
| Descrizione fisica | 1 online resource (ix, 280 p. ) : ill., 1 port |
| Disciplina | 516.36 |
| Altri autori (Persone) |
LiDaqian
GuChaohao HuHesheng <1928-> SuBuqing <1902-2003.> |
| Soggetto topico |
Geometry, Differential
Geometry |
| ISBN | 981-277-641-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Asymptotic Behavior of Yang-Mills Flow in Higher Dimensions (Y M Chen et al.); Complete Submanifolds in Euclidean Spaces with Constant Scalar Curvature (Q M Cheng); On Mathematical Ship Lofting (G C Dong et al.); On the Nirenberg Problem (M Ji); Almost Complex Manifolds and a Differential Geometric Criterion for Hyperbolicity (S Kobayashi); Harmonic Maps Between Carnot Spaces (S Nishikawa); A Survey of Complete Manifolds with Bounded Radial Curvature Function (K Shiohama); On the Hensel Lift of a Polynomial (Z X Wan); A Note on Locally Real Hyperbolic Space with Finite Volume (Y H Yang); and other papers. |
| Record Nr. | UNINA-9910778261803321 |
| River Edge, N.J., : World Scientific, c2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Differential geometry and related topics : proceedings of the International Conference on Modern Mathematics and the International Symposium on Differential Geometry in honour of Professor Su Buchin on the centenary of his birth : Shanghai, China, September 19-23, 2001 / / editors, Gu Chaohao, Hu Hesheng, Li Tatsien
| Differential geometry and related topics : proceedings of the International Conference on Modern Mathematics and the International Symposium on Differential Geometry in honour of Professor Su Buchin on the centenary of his birth : Shanghai, China, September 19-23, 2001 / / editors, Gu Chaohao, Hu Hesheng, Li Tatsien |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | River Edge, N.J., : World Scientific, c2002 |
| Descrizione fisica | 1 online resource (ix, 280 p. ) : ill., 1 port |
| Disciplina | 516.36 |
| Altri autori (Persone) |
LiDaqian
GuChaohao HuHesheng <1928-> SuBuqing <1902-2003.> |
| Soggetto topico |
Geometry, Differential
Geometry |
| ISBN | 981-277-641-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Asymptotic Behavior of Yang-Mills Flow in Higher Dimensions (Y M Chen et al.); Complete Submanifolds in Euclidean Spaces with Constant Scalar Curvature (Q M Cheng); On Mathematical Ship Lofting (G C Dong et al.); On the Nirenberg Problem (M Ji); Almost Complex Manifolds and a Differential Geometric Criterion for Hyperbolicity (S Kobayashi); Harmonic Maps Between Carnot Spaces (S Nishikawa); A Survey of Complete Manifolds with Bounded Radial Curvature Function (K Shiohama); On the Hensel Lift of a Polynomial (Z X Wan); A Note on Locally Real Hyperbolic Space with Finite Volume (Y H Yang); and other papers. |
| Record Nr. | UNINA-9910818589903321 |
| River Edge, N.J., : World Scientific, c2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Frontiers and prospects of contemporary applied mathematics [[electronic resource] /] / editors, Tatsien Li, Pingwen Zhang
| Frontiers and prospects of contemporary applied mathematics [[electronic resource] /] / editors, Tatsien Li, Pingwen Zhang |
| Pubbl/distr/stampa | Beijing, China, : Higher Education Press |
| Descrizione fisica | 1 online resource (276 p.) |
| Disciplina |
510.285
620.001/51 620.00151 |
| Altri autori (Persone) |
LiDaqian
ZhangPingwen |
| Collana | Series in contemporary applied mathematics |
| Soggetto topico |
Engineering mathematics
Biomathematics Mathematics |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-91933-0
9786611919337 981-277-419-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Preface ; Invited Talks ; An Iterative BEM for the Inverse Problem of Detecting Corrosion in a Pipe ; 1 Introduction ; 2 Formulation of the inverse problem ; 3 The iterative boundary element method for this Cauchy problem ; 4 Numerical results for the inverse problem
5 Conclusions References ; Analysis of the Local Quasicontinuum Method ; 1 Introduction ; 2 The existence theorem for the continuum and the atomistic models ; 3 Local quasicontinuum method ; 4 Estimate of e(QC) ; References The Artificial Boundary Method-Numerical Solutions of Partial Differential Equations on Unbounded Domains 1 Introduction ; 2 Two typical problems ; 3 The global (nonlocal) artificial boundary conditions ; 4 Local boundary conditions ; 5 Discrete artificial boundary conditions 6 Implicit boundary conditions 7 Conclusions ; References ; Optimal order integration on the sphere ; 1 Introduction ; 2 Extremal fundamental systems versus product rules ; 3 Optimal order estimates for cubature in Sobolev spaces ; 4 Numerical example ; References A Survey of Multi-symplectic Runge-Kutta Type Methods for Hamiltonian Partial Differential Equations 1 Introduction ; 2 Multi-symplecticity of Runge-Kutta type methods for the general Hamiltonian partial differential equations 3 Multi-symplectic Runge-Kutta type methods for Schrodinger equations |
| Record Nr. | UNINA-9910451386703321 |
| Beijing, China, : Higher Education Press | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Frontiers and prospects of contemporary applied mathematics [[electronic resource] /] / editors, Tatsien Li, Pingwen Zhang
| Frontiers and prospects of contemporary applied mathematics [[electronic resource] /] / editors, Tatsien Li, Pingwen Zhang |
| Pubbl/distr/stampa | Beijing, China, : Higher Education Press |
| Descrizione fisica | 1 online resource (276 p.) |
| Disciplina |
510.285
620.001/51 620.00151 |
| Altri autori (Persone) |
LiDaqian
ZhangPingwen |
| Collana | Series in contemporary applied mathematics |
| Soggetto topico |
Engineering mathematics
Biomathematics Mathematics |
| ISBN |
1-281-91933-0
9786611919337 981-277-419-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Preface ; Invited Talks ; An Iterative BEM for the Inverse Problem of Detecting Corrosion in a Pipe ; 1 Introduction ; 2 Formulation of the inverse problem ; 3 The iterative boundary element method for this Cauchy problem ; 4 Numerical results for the inverse problem
5 Conclusions References ; Analysis of the Local Quasicontinuum Method ; 1 Introduction ; 2 The existence theorem for the continuum and the atomistic models ; 3 Local quasicontinuum method ; 4 Estimate of e(QC) ; References The Artificial Boundary Method-Numerical Solutions of Partial Differential Equations on Unbounded Domains 1 Introduction ; 2 Two typical problems ; 3 The global (nonlocal) artificial boundary conditions ; 4 Local boundary conditions ; 5 Discrete artificial boundary conditions 6 Implicit boundary conditions 7 Conclusions ; References ; Optimal order integration on the sphere ; 1 Introduction ; 2 Extremal fundamental systems versus product rules ; 3 Optimal order estimates for cubature in Sobolev spaces ; 4 Numerical example ; References A Survey of Multi-symplectic Runge-Kutta Type Methods for Hamiltonian Partial Differential Equations 1 Introduction ; 2 Multi-symplecticity of Runge-Kutta type methods for the general Hamiltonian partial differential equations 3 Multi-symplectic Runge-Kutta type methods for Schrodinger equations |
| Record Nr. | UNINA-9910785073303321 |
| Beijing, China, : Higher Education Press | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Frontiers and prospects of contemporary applied mathematics / / editors, Tatsien Li, Pingwen Zhang
| Frontiers and prospects of contemporary applied mathematics / / editors, Tatsien Li, Pingwen Zhang |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Beijing, China, : Higher Education Press |
| Descrizione fisica | 1 online resource (276 p.) |
| Disciplina |
510.285
620.001/51 620.00151 |
| Altri autori (Persone) |
LiDaqian
ZhangPingwen |
| Collana | Series in contemporary applied mathematics |
| Soggetto topico |
Engineering mathematics
Biomathematics Mathematics |
| ISBN |
1-281-91933-0
9786611919337 981-277-419-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Preface ; Invited Talks ; An Iterative BEM for the Inverse Problem of Detecting Corrosion in a Pipe ; 1 Introduction ; 2 Formulation of the inverse problem ; 3 The iterative boundary element method for this Cauchy problem ; 4 Numerical results for the inverse problem
5 Conclusions References ; Analysis of the Local Quasicontinuum Method ; 1 Introduction ; 2 The existence theorem for the continuum and the atomistic models ; 3 Local quasicontinuum method ; 4 Estimate of e(QC) ; References The Artificial Boundary Method-Numerical Solutions of Partial Differential Equations on Unbounded Domains 1 Introduction ; 2 Two typical problems ; 3 The global (nonlocal) artificial boundary conditions ; 4 Local boundary conditions ; 5 Discrete artificial boundary conditions 6 Implicit boundary conditions 7 Conclusions ; References ; Optimal order integration on the sphere ; 1 Introduction ; 2 Extremal fundamental systems versus product rules ; 3 Optimal order estimates for cubature in Sobolev spaces ; 4 Numerical example ; References A Survey of Multi-symplectic Runge-Kutta Type Methods for Hamiltonian Partial Differential Equations 1 Introduction ; 2 Multi-symplecticity of Runge-Kutta type methods for the general Hamiltonian partial differential equations 3 Multi-symplectic Runge-Kutta type methods for Schrodinger equations |
| Record Nr. | UNINA-9910811669203321 |
| Beijing, China, : Higher Education Press | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Frontiers in mathematical analysis and numerical methods [[electronic resource] ] : in memory of Jacques-Louis Lions / / edited by Li Tatsien
| Frontiers in mathematical analysis and numerical methods [[electronic resource] ] : in memory of Jacques-Louis Lions / / edited by Li Tatsien |
| Pubbl/distr/stampa | River Edge, N.J., : World Scientific, 2004 |
| Descrizione fisica | 1 online resource (306 p.) |
| Disciplina | 515 |
| Altri autori (Persone) |
LionsJ.-L <1928-2001.> (Jacques-Louis)
LiDaqian |
| Soggetto topico |
Mathematical analysis
Numerical analysis |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-87224-5
9786611872243 981-256-226-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Frontiers in Mathematical Analysis and Numerical Methods: In Memory of Jacques-Louis Lion; Preface; Contents; Jacques-Louis LIONS, 1928-2001; Always Remembered; Stable and Unstable Ideal Plane Flows; Regularity Theory for Systems of Partial Differential Equations with Neumann Boundary Conditions; Sensitivity of Darcy's Law to Discontinuities; Reiterated Homogenization of Degenerate Nonlinear Elliptic Equations; On the Connection in Finsler Space; Operator-Splitting Methods for the Simulation of Bingham Visco-Plastic Flow
On the Uniqueness of the Weak Solutions of a Quasilinear Hyperbolic System with a Singular Source TermOn the Classification of Initial Data for Nonlinear Wave Equations; Regularity Results for Linear Elliptic Problems Related to the Primitive Equations; Local Exact Boundary Controllability for a Class of Quasilinear Hyperbolic Systems; On Nonlinear Differential Galois Theory; Iterative Algorithms for Data Assimilation Problems; Quadrilateral Mesh; On the Hyperbolic Obstacle Problem of First Order; Instability of Traveling Waves of the Kuramoto-Sivashinsky Equation Complexity of Large Time Behaviour of Evolution Equations with Bounded Data |
| Record Nr. | UNINA-9910449865903321 |
| River Edge, N.J., : World Scientific, 2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Frontiers in mathematical analysis and numerical methods [[electronic resource] ] : in memory of Jacques-Louis Lions / / edited by Li Tatsien
| Frontiers in mathematical analysis and numerical methods [[electronic resource] ] : in memory of Jacques-Louis Lions / / edited by Li Tatsien |
| Pubbl/distr/stampa | River Edge, N.J., : World Scientific, 2004 |
| Descrizione fisica | 1 online resource (306 p.) |
| Disciplina | 515 |
| Altri autori (Persone) |
LionsJ.-L <1928-2001.> (Jacques-Louis)
LiDaqian |
| Soggetto topico |
Mathematical analysis
Numerical analysis |
| ISBN |
1-281-87224-5
9786611872243 981-256-226-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Frontiers in Mathematical Analysis and Numerical Methods: In Memory of Jacques-Louis Lion; Preface; Contents; Jacques-Louis LIONS, 1928-2001; Always Remembered; Stable and Unstable Ideal Plane Flows; Regularity Theory for Systems of Partial Differential Equations with Neumann Boundary Conditions; Sensitivity of Darcy's Law to Discontinuities; Reiterated Homogenization of Degenerate Nonlinear Elliptic Equations; On the Connection in Finsler Space; Operator-Splitting Methods for the Simulation of Bingham Visco-Plastic Flow
On the Uniqueness of the Weak Solutions of a Quasilinear Hyperbolic System with a Singular Source TermOn the Classification of Initial Data for Nonlinear Wave Equations; Regularity Results for Linear Elliptic Problems Related to the Primitive Equations; Local Exact Boundary Controllability for a Class of Quasilinear Hyperbolic Systems; On Nonlinear Differential Galois Theory; Iterative Algorithms for Data Assimilation Problems; Quadrilateral Mesh; On the Hyperbolic Obstacle Problem of First Order; Instability of Traveling Waves of the Kuramoto-Sivashinsky Equation Complexity of Large Time Behaviour of Evolution Equations with Bounded Data |
| Record Nr. | UNINA-9910783219803321 |
| River Edge, N.J., : World Scientific, 2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Frontiers in mathematical analysis and numerical methods : in memory of Jacques-Louis Lions / / edited by Li Tatsien
| Frontiers in mathematical analysis and numerical methods : in memory of Jacques-Louis Lions / / edited by Li Tatsien |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | River Edge, N.J., : World Scientific, 2004 |
| Descrizione fisica | 1 online resource (306 p.) |
| Disciplina | 515 |
| Altri autori (Persone) |
LionsJ.-L <1928-2001.> (Jacques-Louis)
LiDaqian |
| Soggetto topico |
Mathematical analysis
Numerical analysis |
| ISBN |
1-281-87224-5
9786611872243 981-256-226-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Frontiers in Mathematical Analysis and Numerical Methods: In Memory of Jacques-Louis Lion; Preface; Contents; Jacques-Louis LIONS, 1928-2001; Always Remembered; Stable and Unstable Ideal Plane Flows; Regularity Theory for Systems of Partial Differential Equations with Neumann Boundary Conditions; Sensitivity of Darcy's Law to Discontinuities; Reiterated Homogenization of Degenerate Nonlinear Elliptic Equations; On the Connection in Finsler Space; Operator-Splitting Methods for the Simulation of Bingham Visco-Plastic Flow
On the Uniqueness of the Weak Solutions of a Quasilinear Hyperbolic System with a Singular Source TermOn the Classification of Initial Data for Nonlinear Wave Equations; Regularity Results for Linear Elliptic Problems Related to the Primitive Equations; Local Exact Boundary Controllability for a Class of Quasilinear Hyperbolic Systems; On Nonlinear Differential Galois Theory; Iterative Algorithms for Data Assimilation Problems; Quadrilateral Mesh; On the Hyperbolic Obstacle Problem of First Order; Instability of Traveling Waves of the Kuramoto-Sivashinsky Equation Complexity of Large Time Behaviour of Evolution Equations with Bounded Data |
| Record Nr. | UNINA-9910813913903321 |
| River Edge, N.J., : World Scientific, 2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
