Mathematical analysis of deterministic and stochastic problems in complex media electromagnetics [[electronic resource] /] / G.F. Roach, I.G. Stratis, A.N. Yannacopoulos |
Autore | Roach G. F (Gary Francis) |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, : Princeton University Press, 2012 |
Descrizione fisica | 1 online resource (400 p.) |
Disciplina | 537.01/519 |
Altri autori (Persone) |
StratisI. G <1955-> (Ioannis G.)
YannacopoulosA. N <1968-> (Athanasios N.) |
Collana | Princeton series in applied mathematics |
Soggetto topico |
Electromagnetism - Mathematics
Stochastic control theory Mathematical analysis |
Soggetto genere / forma | Electronic books. |
ISBN |
1-68015-903-8
1-283-43978-6 9786613439789 1-4008-4265-4 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | pt. 1. Modelling and mathematical preliminaries -- pt. 2. Time-harmonic deterministic problems -- pt. 3. Time-dependent deterministic problems -- pt. 4. Stochastic problems -- pt. 5. Appendices. |
Record Nr. | UNINA-9910457831303321 |
Roach G. F (Gary Francis)
![]() |
||
Princeton, : Princeton University Press, 2012 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Mathematical analysis of deterministic and stochastic problems in complex media electromagnetics [[electronic resource] /] / G.F. Roach, I.G. Stratis, A.N. Yannacopoulos |
Autore | Roach G. F (Gary Francis) |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, : Princeton University Press, 2012 |
Descrizione fisica | 1 online resource (400 p.) |
Disciplina | 537.01/519 |
Altri autori (Persone) |
StratisI. G <1955-> (Ioannis G.)
YannacopoulosA. N <1968-> (Athanasios N.) |
Collana | Princeton series in applied mathematics |
Soggetto topico |
Electromagnetism - Mathematics
Stochastic control theory Mathematical analysis |
Soggetto non controllato |
AtkinsonЗilcox expansion theorem
Beltrami fields Faedo-Galerkin approach Herglotz wave functions Hilbert Uniqueness method Maxwell equations Maxwell operator PDEs applied mathematics auxiliary elliptic problems boundary controllability boundary integral equation boundary value problem chiral material chiral media chirality compact embeddings complex electromagnetic media complex media constitutive relations controllability problem controllability decompositions differential equations dispersive media dyadics eigenvalue problems electric flux density electrical engineering electromagnetic complex media electromagnetic fields electromagnetic media electromagnetic wave scattering electromagnetic waves electromagnetics evolution family approach evolution operators evolution problems exterior problems finite-dimensional space fixed point approach frequency function spaces general scattering theorem generalised integral transforms geometry handedness homogenisation problem homogenisation homogenised media homogenised system infinite Frchet differentiability integrodifferential equations integrodifferential evolution equation interior domain problem magnetic flux density mathematical modelling mathematical theory nonlinear PDEs nonlinear model nonlinear phenomena nonlinear problems nonlinearity operators optical theorem penetrable obstacle perfectly conducting obstacle periodic media physics plane electromagnetic waves reciprocity principle scattering problems scattering process scattering theories scattering theory semigroup approach semigroup arguments semigroup-based approach solvability spaces spectral theory standard differential stochastic integrodifferential equations time domain time-harmonic electromagnetic wave time-harmonic problems time trace operators two-scale expansion variational formulation vector analysis wave motions wave operators well posedness |
ISBN |
1-68015-903-8
1-283-43978-6 9786613439789 1-4008-4265-4 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | pt. 1. Modelling and mathematical preliminaries -- pt. 2. Time-harmonic deterministic problems -- pt. 3. Time-dependent deterministic problems -- pt. 4. Stochastic problems -- pt. 5. Appendices. |
Record Nr. | UNINA-9910778958303321 |
Roach G. F (Gary Francis)
![]() |
||
Princeton, : Princeton University Press, 2012 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Mathematical analysis of deterministic and stochastic problems in complex media electromagnetics / / G.F. Roach, I.G. Stratis, A.N. Yannacopoulos |
Autore | Roach G. F (Gary Francis) |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, : Princeton University Press, 2012 |
Descrizione fisica | 1 online resource (400 p.) |
Disciplina | 537.01/519 |
Altri autori (Persone) |
StratisI. G <1955-> (Ioannis G.)
YannacopoulosA. N <1968-> (Athanasios N.) |
Collana | Princeton series in applied mathematics |
Soggetto topico |
Electromagnetism - Mathematics
Stochastic control theory Mathematical analysis |
Soggetto non controllato |
AtkinsonЗilcox expansion theorem
Beltrami fields Faedo-Galerkin approach Herglotz wave functions Hilbert Uniqueness method Maxwell equations Maxwell operator PDEs applied mathematics auxiliary elliptic problems boundary controllability boundary integral equation boundary value problem chiral material chiral media chirality compact embeddings complex electromagnetic media complex media constitutive relations controllability problem controllability decompositions differential equations dispersive media dyadics eigenvalue problems electric flux density electrical engineering electromagnetic complex media electromagnetic fields electromagnetic media electromagnetic wave scattering electromagnetic waves electromagnetics evolution family approach evolution operators evolution problems exterior problems finite-dimensional space fixed point approach frequency function spaces general scattering theorem generalised integral transforms geometry handedness homogenisation problem homogenisation homogenised media homogenised system infinite Frchet differentiability integrodifferential equations integrodifferential evolution equation interior domain problem magnetic flux density mathematical modelling mathematical theory nonlinear PDEs nonlinear model nonlinear phenomena nonlinear problems nonlinearity operators optical theorem penetrable obstacle perfectly conducting obstacle periodic media physics plane electromagnetic waves reciprocity principle scattering problems scattering process scattering theories scattering theory semigroup approach semigroup arguments semigroup-based approach solvability spaces spectral theory standard differential stochastic integrodifferential equations time domain time-harmonic electromagnetic wave time-harmonic problems time trace operators two-scale expansion variational formulation vector analysis wave motions wave operators well posedness |
ISBN |
1-68015-903-8
1-283-43978-6 9786613439789 1-4008-4265-4 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | pt. 1. Modelling and mathematical preliminaries -- pt. 2. Time-harmonic deterministic problems -- pt. 3. Time-dependent deterministic problems -- pt. 4. Stochastic problems -- pt. 5. Appendices. |
Record Nr. | UNINA-9910822386503321 |
Roach G. F (Gary Francis)
![]() |
||
Princeton, : Princeton University Press, 2012 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Wave scattering by time dependent perturbations [[electronic resource] ] : an introduction / / G.F. Roach |
Autore | Roach G. F (Gary Francis) |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2007 |
Descrizione fisica | 1 online resource (300 p.) |
Disciplina | 531/.1133 |
Collana | Princeton series in applied mathematics |
Soggetto topico |
Waves - Mathematics
Scattering (Physics) - Mathematics Perturbation (Mathematics) |
Soggetto genere / forma | Electronic books. |
ISBN |
1-282-15878-3
9786612158780 1-4008-2816-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter One. Introduction and Outline of Contents -- Chapter Two. Some Aspects of Waves on Strings -- Chapter Three. Mathematical Preliminaries -- Chapter Four. Spectral Theory and Spectral Decompositions -- Chapter Five. On Nonautonomous Problems -- Chapter Six. On Scattering Theory Strategies -- Chapter Seven. Echo Analysis -- Chapter Eight. Wave Scattering from Time-Periodic Perturbations -- Chapter Nine Concerning Inverse Problems -- Chapter Ten. Some Remarks on Scattering in Other Wave Systems -- Chapter Eleven. Commentaries and Appendices -- Bibliography -- Index |
Record Nr. | UNINA-9910454985703321 |
Roach G. F (Gary Francis)
![]() |
||
Princeton, N.J., : Princeton University Press, 2007 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Wave scattering by time dependent perturbations [[electronic resource] ] : an introduction / / G.F. Roach |
Autore | Roach G. F (Gary Francis) |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2007 |
Descrizione fisica | 1 online resource (300 p.) |
Disciplina | 531/.1133 |
Collana | Princeton series in applied mathematics |
Soggetto topico |
Waves - Mathematics
Scattering (Physics) - Mathematics Perturbation (Mathematics) |
Soggetto non controllato |
Acoustic wave equation
Acoustic wave Affine space Angular frequency Approximation Asymptotic analysis Asymptotic expansion Banach space Basis (linear algebra) Bessel's inequality Boundary value problem Bounded operator C0-semigroup Calculation Characteristic function (probability theory) Classical physics Codimension Coefficient Continuous function (set theory) Continuous function Continuous spectrum Convolution Differentiable function Differential equation Dimension (vector space) Dimension Dimensional analysis Dirac delta function Dirichlet problem Distribution (mathematics) Duhamel's principle Eigenfunction Eigenvalues and eigenvectors Electromagnetism Equation Existential quantification Exponential function Floquet theory Fourier inversion theorem Fourier series Fourier transform Fredholm integral equation Frequency domain Helmholtz equation Hilbert space Initial value problem Integral equation Integral transform Integration by parts Inverse problem Inverse scattering problem Lebesgue measure Linear differential equation Linear map Linear space (geometry) Locally integrable function Longitudinal wave Mathematical analysis Mathematical physics Metric space Operator theory Ordinary differential equation Orthonormal basis Orthonormality Parseval's theorem Partial derivative Partial differential equation Phase velocity Plane wave Projection (linear algebra) Propagator Quantity Quantum mechanics Reflection coefficient Requirement Riesz representation theorem Scalar (physics) Scattering theory Scattering Scientific notation Self-adjoint operator Self-adjoint Series expansion Sine wave Spectral method Spectral theorem Spectral theory Square-integrable function Subset Theorem Theory Time domain Time evolution Unbounded operator Unitarity (physics) Vector space Volterra integral equation Wave function Wave packet Wave propagation |
ISBN |
1-282-15878-3
9786612158780 1-4008-2816-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter One. Introduction and Outline of Contents -- Chapter Two. Some Aspects of Waves on Strings -- Chapter Three. Mathematical Preliminaries -- Chapter Four. Spectral Theory and Spectral Decompositions -- Chapter Five. On Nonautonomous Problems -- Chapter Six. On Scattering Theory Strategies -- Chapter Seven. Echo Analysis -- Chapter Eight. Wave Scattering from Time-Periodic Perturbations -- Chapter Nine Concerning Inverse Problems -- Chapter Ten. Some Remarks on Scattering in Other Wave Systems -- Chapter Eleven. Commentaries and Appendices -- Bibliography -- Index |
Record Nr. | UNINA-9910778218403321 |
Roach G. F (Gary Francis)
![]() |
||
Princeton, N.J., : Princeton University Press, 2007 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Wave scattering by time dependent perturbations [[electronic resource] ] : an introduction / / G.F. Roach |
Autore | Roach G. F (Gary Francis) |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2007 |
Descrizione fisica | 1 online resource (300 p.) |
Disciplina | 531/.1133 |
Collana | Princeton series in applied mathematics |
Soggetto topico |
Waves - Mathematics
Scattering (Physics) - Mathematics Perturbation (Mathematics) |
Soggetto non controllato |
Acoustic wave equation
Acoustic wave Affine space Angular frequency Approximation Asymptotic analysis Asymptotic expansion Banach space Basis (linear algebra) Bessel's inequality Boundary value problem Bounded operator C0-semigroup Calculation Characteristic function (probability theory) Classical physics Codimension Coefficient Continuous function (set theory) Continuous function Continuous spectrum Convolution Differentiable function Differential equation Dimension (vector space) Dimension Dimensional analysis Dirac delta function Dirichlet problem Distribution (mathematics) Duhamel's principle Eigenfunction Eigenvalues and eigenvectors Electromagnetism Equation Existential quantification Exponential function Floquet theory Fourier inversion theorem Fourier series Fourier transform Fredholm integral equation Frequency domain Helmholtz equation Hilbert space Initial value problem Integral equation Integral transform Integration by parts Inverse problem Inverse scattering problem Lebesgue measure Linear differential equation Linear map Linear space (geometry) Locally integrable function Longitudinal wave Mathematical analysis Mathematical physics Metric space Operator theory Ordinary differential equation Orthonormal basis Orthonormality Parseval's theorem Partial derivative Partial differential equation Phase velocity Plane wave Projection (linear algebra) Propagator Quantity Quantum mechanics Reflection coefficient Requirement Riesz representation theorem Scalar (physics) Scattering theory Scattering Scientific notation Self-adjoint operator Self-adjoint Series expansion Sine wave Spectral method Spectral theorem Spectral theory Square-integrable function Subset Theorem Theory Time domain Time evolution Unbounded operator Unitarity (physics) Vector space Volterra integral equation Wave function Wave packet Wave propagation |
ISBN |
1-282-15878-3
9786612158780 1-4008-2816-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter One. Introduction and Outline of Contents -- Chapter Two. Some Aspects of Waves on Strings -- Chapter Three. Mathematical Preliminaries -- Chapter Four. Spectral Theory and Spectral Decompositions -- Chapter Five. On Nonautonomous Problems -- Chapter Six. On Scattering Theory Strategies -- Chapter Seven. Echo Analysis -- Chapter Eight. Wave Scattering from Time-Periodic Perturbations -- Chapter Nine Concerning Inverse Problems -- Chapter Ten. Some Remarks on Scattering in Other Wave Systems -- Chapter Eleven. Commentaries and Appendices -- Bibliography -- Index |
Record Nr. | UNINA-9910813420003321 |
Roach G. F (Gary Francis)
![]() |
||
Princeton, N.J., : Princeton University Press, 2007 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|