Elements of numerical relativity : from Einstein's equations to Black Hole simulations / Carles Bona, Carlos Palenzuela-Luque |
Autore | Bona, Carles |
Pubbl/distr/stampa | Berlin ; New York : Springer, 2005 |
Descrizione fisica | xi, 151 p. : ill. ; 25 cm |
Disciplina | 530.11 |
Altri autori (Persone) | Palenzuela-Luque, Carlosauthor |
Collana | Lecture notes in physics, 0075-8450 ; 673 |
Soggetto topico |
Relativity (Physics)
Space and time - Mathematics Evolution equations - Numerical solutions Einstein field equations - Numerical solutions |
ISBN | 3540257799 (hbk.) |
Classificazione |
LC QC1
52.9.51 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991001467799707536 |
Bona, Carles | ||
Berlin ; New York : Springer, 2005 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
|
Evolution equations and approximations [[electronic resource] /] / Kazufumi Ito, Franz Kappel |
Autore | Ito Kazufumi |
Pubbl/distr/stampa | River Edge, N.J., : World Scientific, c2002 |
Descrizione fisica | 1 online resource (518 p.) |
Disciplina | 515/.353 |
Altri autori (Persone) | KappelF |
Collana | Series on advances in mathematics for applied sciences |
Soggetto topico |
Evolution equations - Numerical solutions
Approximation theory |
Soggetto genere / forma | Electronic books. |
ISBN | 981-277-729-6 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Contents ; Preface ; Chapter 1. Dissipative and Maximal Monotone Operators ; 1.1 Duality mapping and directional derivatives of norms ; 1.2 Dissipative operators ; 1.3 Properties of m-dissipative operators ; 1.4 Perturbation results for m-dissipative operators
1.5 Maximal monotone operators 1.6 Convex functionals and subdifferentials ; Chapter 2. Linear Semigroups ; 2.1 Examples and basic definitions ; 2.2 Cauchy problems and mild solutions ; 2.3 The Hille-Yosida theorem ; 2.4 The Lumer-Phillips theorem ; 2.5 A second order equation Chapter 3. Analytic Semigroups 3.1 Dissipative operators and sesquilinear forms ; 3.2 Analytic semigroups ; Chapter 4. Approximation of Co-Semigroups ; 4.1 The Trotter-Kato theorem ; 4.2 Approximation of nonhomogeneous problems ; 4.3 Variational formulations of the Trotter-Kato theorem 4.4 An approximation result for analytic semigroups Chapter 5. Nonlinear Semigroups of Contractions ; 5.1 Generation of nonlinear semigroups ; 5.2 Cauchy problems with dissipative operators ; 5.3 The infinitesimal generator ; 5.4 Nonlinear diffusion Chapter 6. Locally Quasi-Dissipative Evolution Equations 6.1 Locally quasi-dissipative operators ; 6.2 Assumptions on the operators A(t) ; 6.3 DS-approximations and fundamental estimates ; 6.4 Existence of DS-approximations ; 6.5 Existence and uniqueness of mild solutions 6.6 Autonomous problems |
Record Nr. | UNINA-9910450915003321 |
Ito Kazufumi | ||
River Edge, N.J., : World Scientific, c2002 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Evolution equations and approximations [[electronic resource] /] / Kazufumi Ito, Franz Kappel |
Autore | Ito Kazufumi |
Pubbl/distr/stampa | River Edge, N.J., : World Scientific, c2002 |
Descrizione fisica | 1 online resource (518 p.) |
Disciplina | 515/.353 |
Altri autori (Persone) | KappelF |
Collana | Series on advances in mathematics for applied sciences |
Soggetto topico |
Evolution equations - Numerical solutions
Approximation theory |
ISBN | 981-277-729-6 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Contents ; Preface ; Chapter 1. Dissipative and Maximal Monotone Operators ; 1.1 Duality mapping and directional derivatives of norms ; 1.2 Dissipative operators ; 1.3 Properties of m-dissipative operators ; 1.4 Perturbation results for m-dissipative operators
1.5 Maximal monotone operators 1.6 Convex functionals and subdifferentials ; Chapter 2. Linear Semigroups ; 2.1 Examples and basic definitions ; 2.2 Cauchy problems and mild solutions ; 2.3 The Hille-Yosida theorem ; 2.4 The Lumer-Phillips theorem ; 2.5 A second order equation Chapter 3. Analytic Semigroups 3.1 Dissipative operators and sesquilinear forms ; 3.2 Analytic semigroups ; Chapter 4. Approximation of Co-Semigroups ; 4.1 The Trotter-Kato theorem ; 4.2 Approximation of nonhomogeneous problems ; 4.3 Variational formulations of the Trotter-Kato theorem 4.4 An approximation result for analytic semigroups Chapter 5. Nonlinear Semigroups of Contractions ; 5.1 Generation of nonlinear semigroups ; 5.2 Cauchy problems with dissipative operators ; 5.3 The infinitesimal generator ; 5.4 Nonlinear diffusion Chapter 6. Locally Quasi-Dissipative Evolution Equations 6.1 Locally quasi-dissipative operators ; 6.2 Assumptions on the operators A(t) ; 6.3 DS-approximations and fundamental estimates ; 6.4 Existence of DS-approximations ; 6.5 Existence and uniqueness of mild solutions 6.6 Autonomous problems |
Record Nr. | UNINA-9910785071403321 |
Ito Kazufumi | ||
River Edge, N.J., : World Scientific, c2002 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Evolution equations and approximations [[electronic resource] /] / Kazufumi Ito, Franz Kappel |
Autore | Ito Kazufumi |
Pubbl/distr/stampa | River Edge, N.J., : World Scientific, c2002 |
Descrizione fisica | 1 online resource (518 p.) |
Disciplina | 515/.353 |
Altri autori (Persone) | KappelF |
Collana | Series on advances in mathematics for applied sciences |
Soggetto topico |
Evolution equations - Numerical solutions
Approximation theory |
ISBN | 981-277-729-6 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Contents ; Preface ; Chapter 1. Dissipative and Maximal Monotone Operators ; 1.1 Duality mapping and directional derivatives of norms ; 1.2 Dissipative operators ; 1.3 Properties of m-dissipative operators ; 1.4 Perturbation results for m-dissipative operators
1.5 Maximal monotone operators 1.6 Convex functionals and subdifferentials ; Chapter 2. Linear Semigroups ; 2.1 Examples and basic definitions ; 2.2 Cauchy problems and mild solutions ; 2.3 The Hille-Yosida theorem ; 2.4 The Lumer-Phillips theorem ; 2.5 A second order equation Chapter 3. Analytic Semigroups 3.1 Dissipative operators and sesquilinear forms ; 3.2 Analytic semigroups ; Chapter 4. Approximation of Co-Semigroups ; 4.1 The Trotter-Kato theorem ; 4.2 Approximation of nonhomogeneous problems ; 4.3 Variational formulations of the Trotter-Kato theorem 4.4 An approximation result for analytic semigroups Chapter 5. Nonlinear Semigroups of Contractions ; 5.1 Generation of nonlinear semigroups ; 5.2 Cauchy problems with dissipative operators ; 5.3 The infinitesimal generator ; 5.4 Nonlinear diffusion Chapter 6. Locally Quasi-Dissipative Evolution Equations 6.1 Locally quasi-dissipative operators ; 6.2 Assumptions on the operators A(t) ; 6.3 DS-approximations and fundamental estimates ; 6.4 Existence of DS-approximations ; 6.5 Existence and uniqueness of mild solutions 6.6 Autonomous problems |
Record Nr. | UNINA-9910812469303321 |
Ito Kazufumi | ||
River Edge, N.J., : World Scientific, c2002 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
A method of generalized characteristics / / Marc A. Berger and Alan D. Sloan |
Autore | Berger Marc A. <1955-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1982] |
Descrizione fisica | 1 online resource (45 p.) |
Disciplina |
510 s
515.3/53 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Differential equations, Partial - Numerical solutions
Evolution equations - Numerical solutions Brownian motion processes |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-0673-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | ""Contents""; ""Introduction""; ""I. Spaces of Generalized Characteristics""; ""A. Polynomial Initial Data""; ""B. Analytic Initial Data""; ""II. Analysis of Evolution Equations""; ""A. Semigroup Methods""; ""B. Characteristic Methods""; ""C. Fourier Transforms""; ""D. Distribution Solutions""; ""E. Fundamental Solutions""; ""III. Examples""; ""IV. Bibliography"" |
Record Nr. | UNINA-9910480779203321 |
Berger Marc A. <1955-> | ||
Providence, Rhode Island : , : American Mathematical Society, , [1982] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
A method of generalized characteristics / / Marc A. Berger and Alan D. Sloan |
Autore | Berger Marc A. <1955-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1982] |
Descrizione fisica | 1 online resource (45 p.) |
Disciplina |
510 s
515.3/53 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Differential equations, Partial - Numerical solutions
Evolution equations - Numerical solutions Brownian motion processes |
ISBN | 1-4704-0673-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | ""Contents""; ""Introduction""; ""I. Spaces of Generalized Characteristics""; ""A. Polynomial Initial Data""; ""B. Analytic Initial Data""; ""II. Analysis of Evolution Equations""; ""A. Semigroup Methods""; ""B. Characteristic Methods""; ""C. Fourier Transforms""; ""D. Distribution Solutions""; ""E. Fundamental Solutions""; ""III. Examples""; ""IV. Bibliography"" |
Record Nr. | UNINA-9910788897403321 |
Berger Marc A. <1955-> | ||
Providence, Rhode Island : , : American Mathematical Society, , [1982] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
A method of generalized characteristics / / Marc A. Berger and Alan D. Sloan |
Autore | Berger Marc A. <1955-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1982] |
Descrizione fisica | 1 online resource (45 p.) |
Disciplina |
510 s
515.3/53 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Differential equations, Partial - Numerical solutions
Evolution equations - Numerical solutions Brownian motion processes |
ISBN | 1-4704-0673-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | ""Contents""; ""Introduction""; ""I. Spaces of Generalized Characteristics""; ""A. Polynomial Initial Data""; ""B. Analytic Initial Data""; ""II. Analysis of Evolution Equations""; ""A. Semigroup Methods""; ""B. Characteristic Methods""; ""C. Fourier Transforms""; ""D. Distribution Solutions""; ""E. Fundamental Solutions""; ""III. Examples""; ""IV. Bibliography"" |
Record Nr. | UNINA-9910828917903321 |
Berger Marc A. <1955-> | ||
Providence, Rhode Island : , : American Mathematical Society, , [1982] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|