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Advanced Mathematics for Engineers and Physicists [[electronic resource] /] / by Sever Angel Popescu, Marilena Jianu
| Advanced Mathematics for Engineers and Physicists [[electronic resource] /] / by Sever Angel Popescu, Marilena Jianu |
| Autore | Popescu Sever Angel |
| Edizione | [1st ed. 2022.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 |
| Descrizione fisica | 1 online resource (833 pages) |
| Disciplina | 620.00151 |
| Soggetto topico |
Mathematical analysis
Probabilities Mathematical optimization Calculus of variations Differential equations Analysis Probability Theory Calculus of Variations and Optimization Differential Equations Matemàtica per a enginyers Física matemàtica |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-21502-8 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- Basic Notations -- Sets -- Hyperbolic Functions -- Euler Integrals -- 1 First-Order Differential Equations -- 1.1 Introduction to Ordinary Differential Equations -- 1.2 Separable Equations -- 1.3 Homogeneous Equations -- 1.4 First-Order Linear Differential Equations -- 1.5 Bernoulli Equations -- 1.6 Riccati Equations -- 1.7 Exact Differential Equations -- 1.8 Lagrange Equations and Clairaut Equations -- 1.9 Existence and Uniqueness of Solution of the Cauchy Problem -- 1.10 Exercises -- 2 Higher-Order Differential Equations -- 2.1 Introduction -- 2.2 Homogeneous Linear Differential Equations of Order n -- 2.3 Non-Homogeneous Linear Differential Equations of Order n -- 2.4 Homogeneous Linear Equations with Constant Coefficients -- 2.5 Nonhomogeneous Linear Equations with Constant Coefficients -- 2.6 Euler Equations -- 2.7 Exercises -- 3 Systems of Differential Equations -- 3.1 Introduction -- 3.2 First-Order Systems and Differential Equations of Order n -- 3.3 Linear Systems of Differential Equations -- 3.4 Linear Systems with Constant Coefficients -- 3.4.1 The Homogeneous Case (the Algebraic Method) -- 3.4.2 The Non-Homogeneous Case (the Method of Undetermined Coefficients) -- 3.4.2.1 The Diagonalizable Case -- 3.4.2.2 The Non-Diagonalizable Case -- 3.4.3 Matrix Exponential and Linear Systems with Constant Coefficients -- 3.4.3.1 Fundamental Matrix -- 3.4.3.2 Matrix Exponential -- 3.4.3.3 The Exponential of a Diagonalizable Matrix -- 3.4.3.4 The Exponential of a Nondiagonalizable Matrix -- 3.4.4 Elimination Method for Linear Systems with Constant Coefficients -- 3.5 Autonomous Systems of Differential Equations -- 3.6 First-Order Partial Differential Equations -- 3.6.1 Linear Homogeneous First-Order PDE -- 3.6.2 Quasilinear First-Order Partial Differential Equations -- 3.7 Exercises -- 4 Fourier Series.
4.1 Introduction: Periodic, Piecewise Smooth Functions -- 4.1.1 Periodic Functions -- 4.1.2 Piecewise Continuous and Piecewise Smooth Functions -- 4.2 Fourier Series Expansions -- 4.2.1 Series of Functions -- 4.2.2 A Basic Trigonometric System -- 4.2.3 Fourier Coefficients -- 4.3 Orthogonal Systems of Functions -- 4.3.1 Inner Product -- 4.3.2 Best Approximation in the Mean: Bessel's Inequality -- 4.4 The Convergence of Fourier Series -- 4.5 Differentiation and Integration of the Fourier Series -- 4.6 The Convergence in the Mean: Complete Systems -- 4.7 Examples of Fourier Expansions -- 4.8 The Complex form of the Fourier Series -- 4.9 Exercises -- 5 Fourier Transform -- 5.1 Improper Integrals -- 5.2 The Fourier Integral Formula -- 5.3 The Fourier Transform -- 5.4 Solving Linear Differential Equations -- 5.5 Moments Theorems -- 5.6 Sampling Theorem -- 5.7 Discrete Fourier Transform -- 5.8 Exercises -- 6 Laplace Transform -- 6.1 Introduction -- 6.2 Properties of the Laplace Transform -- 6.3 Inverse Laplace Transform -- 6.4 Solving Linear Differential Equations -- 6.5 The Dirac Delta Function -- 6.6 Exercises -- 7 Second-Order Partial Differential Equations -- 7.1 Classification: Canonical Form -- 7.2 The Wave Equation -- 7.2.1 Infinite Vibrating String: D'Alembert Formula -- 7.2.2 Finite Vibrating String: Fourier Method -- 7.2.3 Laplace Transform Method for the Vibrating String -- 7.2.4 Vibrations of a Rectangular Membrane: Two-Dimensional Wave Equation -- 7.3 Vibrations of a Simply Supported Beam: Fourier Method -- 7.4 The Heat Equation -- 7.4.1 Modeling the Heat Flow from a Body in Space -- 7.4.2 Heat Flow in a Finite Rod: Fourier Method -- 7.4.3 Heat Flow in an Infinite Rod -- 7.4.4 Heat Flow in a Rectangular Plate -- 7.5 The Laplace's Equation -- 7.5.1 Dirichlet Problem for a Rectangle -- 7.5.2 Dirichlet Problem for a Disk -- 7.6 Exercises. 8 Introduction to the Calculus of Variations -- 8.1 Classical Variational Problems -- 8.2 General Frame of Calculus of Variations -- 8.3 The Case F[y]=abF(x,y,y) dx -- 8.4 The Case F[y]=ab F(x, y, y,…,y(n)) dx -- 8.5 The Case F[y1,…,yn]=abF(x,y1,…,yn,y1,…,yn) dx -- 8.6 The Case F[z]=@汥瑀瑯步渠D F (x,y,z,∂z∂x, ∂z∂y)dxdy -- 8.7 Isoperimetric Problems and Geodesic Problems -- 8.7.1 Isoperimetric Problems -- 8.7.2 Geodesic Problems -- 8.8 Exercises -- 9 Elements of Probability Theory -- 9.1 Sample Space: Event Space -- 9.2 Probability Space -- 9.3 Conditional Probability: Bayes Formula -- 9.4 Discrete Random Variables -- 9.4.1 Random Variables -- 9.4.2 Expected Value -- Moments -- 9.4.3 Variance -- 9.4.4 Discrete Uniform Distribution -- 9.4.5 Bernoulli Distribution -- 9.4.6 Binomial Distribution -- 9.4.7 Poisson Distribution -- 9.4.8 Geometric Distribution -- 9.5 Continuous Random Variables -- 9.5.1 The Probability Density Function -- The Distribution Function -- 9.5.2 Expected Value, Moments and Variance for Continuous Random Variables -- 9.5.3 Characteristic Function -- 9.5.4 The Uniform Distribution -- 9.5.5 The Exponential Distribution -- 9.5.6 The Normal Distribution -- 9.5.7 Gamma Distribution -- 9.5.8 Chi-Squared Distribution -- 9.5.9 Student t-Distribution -- 9.6 Limit Theorems -- 9.7 Exercises -- 10 Answers and Solutions to Exercises -- 10.1 Chapter 1 -- 10.2 Chapter 2 -- 10.3 Chapter 3 -- 10.4 Chapter 4 -- 10.5 Chapter 5 -- 10.6 Chapter 6 -- 10.7 Chapter 7 -- 10.8 Chapter 8 -- 10.9 Chapter 9 -- 11 Supplementary Materials -- 11.1 Normed, Metric and Hilbert Spaces -- 11.1.1 Normed Vector Spaces -- 11.1.2 Sequences and Series of Functions -- 11.1.3 Metric Spaces. Some Density Theorems -- 11.1.4 The Fields Q, R and C -- 11.1.5 Hilbert Spaces -- 11.1.6 Continuous Functions and Step Functions -- 11.1.7 Orthonormal Systems in a Hilbert Space. 11.2 Complex Function Theory -- 11.2.1 Differentiability of Complex Functions -- 11.2.2 Integration of Complex Functions -- 11.2.3 Power Series Representation -- 11.2.4 Residue Theorem and Applications -- Bibliography -- Index. |
| Record Nr. | UNISA-996508570903316 |
Popescu Sever Angel
|
||
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Advanced Mathematics for Engineers and Physicists [[electronic resource] /] / by Sever Angel Popescu, Marilena Jianu
| Advanced Mathematics for Engineers and Physicists [[electronic resource] /] / by Sever Angel Popescu, Marilena Jianu |
| Autore | Popescu Sever Angel |
| Edizione | [1st ed. 2022.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 |
| Descrizione fisica | 1 online resource (833 pages) |
| Disciplina | 620.00151 |
| Soggetto topico |
Mathematical analysis
Probabilities Mathematical optimization Calculus of variations Differential equations Analysis Probability Theory Calculus of Variations and Optimization Differential Equations Matemàtica per a enginyers Física matemàtica |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-21502-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- Basic Notations -- Sets -- Hyperbolic Functions -- Euler Integrals -- 1 First-Order Differential Equations -- 1.1 Introduction to Ordinary Differential Equations -- 1.2 Separable Equations -- 1.3 Homogeneous Equations -- 1.4 First-Order Linear Differential Equations -- 1.5 Bernoulli Equations -- 1.6 Riccati Equations -- 1.7 Exact Differential Equations -- 1.8 Lagrange Equations and Clairaut Equations -- 1.9 Existence and Uniqueness of Solution of the Cauchy Problem -- 1.10 Exercises -- 2 Higher-Order Differential Equations -- 2.1 Introduction -- 2.2 Homogeneous Linear Differential Equations of Order n -- 2.3 Non-Homogeneous Linear Differential Equations of Order n -- 2.4 Homogeneous Linear Equations with Constant Coefficients -- 2.5 Nonhomogeneous Linear Equations with Constant Coefficients -- 2.6 Euler Equations -- 2.7 Exercises -- 3 Systems of Differential Equations -- 3.1 Introduction -- 3.2 First-Order Systems and Differential Equations of Order n -- 3.3 Linear Systems of Differential Equations -- 3.4 Linear Systems with Constant Coefficients -- 3.4.1 The Homogeneous Case (the Algebraic Method) -- 3.4.2 The Non-Homogeneous Case (the Method of Undetermined Coefficients) -- 3.4.2.1 The Diagonalizable Case -- 3.4.2.2 The Non-Diagonalizable Case -- 3.4.3 Matrix Exponential and Linear Systems with Constant Coefficients -- 3.4.3.1 Fundamental Matrix -- 3.4.3.2 Matrix Exponential -- 3.4.3.3 The Exponential of a Diagonalizable Matrix -- 3.4.3.4 The Exponential of a Nondiagonalizable Matrix -- 3.4.4 Elimination Method for Linear Systems with Constant Coefficients -- 3.5 Autonomous Systems of Differential Equations -- 3.6 First-Order Partial Differential Equations -- 3.6.1 Linear Homogeneous First-Order PDE -- 3.6.2 Quasilinear First-Order Partial Differential Equations -- 3.7 Exercises -- 4 Fourier Series.
4.1 Introduction: Periodic, Piecewise Smooth Functions -- 4.1.1 Periodic Functions -- 4.1.2 Piecewise Continuous and Piecewise Smooth Functions -- 4.2 Fourier Series Expansions -- 4.2.1 Series of Functions -- 4.2.2 A Basic Trigonometric System -- 4.2.3 Fourier Coefficients -- 4.3 Orthogonal Systems of Functions -- 4.3.1 Inner Product -- 4.3.2 Best Approximation in the Mean: Bessel's Inequality -- 4.4 The Convergence of Fourier Series -- 4.5 Differentiation and Integration of the Fourier Series -- 4.6 The Convergence in the Mean: Complete Systems -- 4.7 Examples of Fourier Expansions -- 4.8 The Complex form of the Fourier Series -- 4.9 Exercises -- 5 Fourier Transform -- 5.1 Improper Integrals -- 5.2 The Fourier Integral Formula -- 5.3 The Fourier Transform -- 5.4 Solving Linear Differential Equations -- 5.5 Moments Theorems -- 5.6 Sampling Theorem -- 5.7 Discrete Fourier Transform -- 5.8 Exercises -- 6 Laplace Transform -- 6.1 Introduction -- 6.2 Properties of the Laplace Transform -- 6.3 Inverse Laplace Transform -- 6.4 Solving Linear Differential Equations -- 6.5 The Dirac Delta Function -- 6.6 Exercises -- 7 Second-Order Partial Differential Equations -- 7.1 Classification: Canonical Form -- 7.2 The Wave Equation -- 7.2.1 Infinite Vibrating String: D'Alembert Formula -- 7.2.2 Finite Vibrating String: Fourier Method -- 7.2.3 Laplace Transform Method for the Vibrating String -- 7.2.4 Vibrations of a Rectangular Membrane: Two-Dimensional Wave Equation -- 7.3 Vibrations of a Simply Supported Beam: Fourier Method -- 7.4 The Heat Equation -- 7.4.1 Modeling the Heat Flow from a Body in Space -- 7.4.2 Heat Flow in a Finite Rod: Fourier Method -- 7.4.3 Heat Flow in an Infinite Rod -- 7.4.4 Heat Flow in a Rectangular Plate -- 7.5 The Laplace's Equation -- 7.5.1 Dirichlet Problem for a Rectangle -- 7.5.2 Dirichlet Problem for a Disk -- 7.6 Exercises. 8 Introduction to the Calculus of Variations -- 8.1 Classical Variational Problems -- 8.2 General Frame of Calculus of Variations -- 8.3 The Case F[y]=abF(x,y,y) dx -- 8.4 The Case F[y]=ab F(x, y, y,…,y(n)) dx -- 8.5 The Case F[y1,…,yn]=abF(x,y1,…,yn,y1,…,yn) dx -- 8.6 The Case F[z]=@汥瑀瑯步渠D F (x,y,z,∂z∂x, ∂z∂y)dxdy -- 8.7 Isoperimetric Problems and Geodesic Problems -- 8.7.1 Isoperimetric Problems -- 8.7.2 Geodesic Problems -- 8.8 Exercises -- 9 Elements of Probability Theory -- 9.1 Sample Space: Event Space -- 9.2 Probability Space -- 9.3 Conditional Probability: Bayes Formula -- 9.4 Discrete Random Variables -- 9.4.1 Random Variables -- 9.4.2 Expected Value -- Moments -- 9.4.3 Variance -- 9.4.4 Discrete Uniform Distribution -- 9.4.5 Bernoulli Distribution -- 9.4.6 Binomial Distribution -- 9.4.7 Poisson Distribution -- 9.4.8 Geometric Distribution -- 9.5 Continuous Random Variables -- 9.5.1 The Probability Density Function -- The Distribution Function -- 9.5.2 Expected Value, Moments and Variance for Continuous Random Variables -- 9.5.3 Characteristic Function -- 9.5.4 The Uniform Distribution -- 9.5.5 The Exponential Distribution -- 9.5.6 The Normal Distribution -- 9.5.7 Gamma Distribution -- 9.5.8 Chi-Squared Distribution -- 9.5.9 Student t-Distribution -- 9.6 Limit Theorems -- 9.7 Exercises -- 10 Answers and Solutions to Exercises -- 10.1 Chapter 1 -- 10.2 Chapter 2 -- 10.3 Chapter 3 -- 10.4 Chapter 4 -- 10.5 Chapter 5 -- 10.6 Chapter 6 -- 10.7 Chapter 7 -- 10.8 Chapter 8 -- 10.9 Chapter 9 -- 11 Supplementary Materials -- 11.1 Normed, Metric and Hilbert Spaces -- 11.1.1 Normed Vector Spaces -- 11.1.2 Sequences and Series of Functions -- 11.1.3 Metric Spaces. Some Density Theorems -- 11.1.4 The Fields Q, R and C -- 11.1.5 Hilbert Spaces -- 11.1.6 Continuous Functions and Step Functions -- 11.1.7 Orthonormal Systems in a Hilbert Space. 11.2 Complex Function Theory -- 11.2.1 Differentiability of Complex Functions -- 11.2.2 Integration of Complex Functions -- 11.2.3 Power Series Representation -- 11.2.4 Residue Theorem and Applications -- Bibliography -- Index. |
| Record Nr. | UNINA-9910647396803321 |
|
Popescu Sever Angel
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Advances in phase space analysis of partial differential equations [e-book] : in honor of Ferruccio Colombini's 60th birthday / edited by Antonio Bove ... [et al.]
| Advances in phase space analysis of partial differential equations [e-book] : in honor of Ferruccio Colombini's 60th birthday / edited by Antonio Bove ... [et al.] |
| Pubbl/distr/stampa | Boston : Birkhäuser, 2009 |
| Descrizione fisica | v.: digital |
| Altri autori (Persone) | Bove, Antonio |
| Collana | Progress in nonlinear differential equations and their applications ; 78 |
| Soggetto topico |
Differentiable dynamical systems
Differential Equations Global analysis (Mathematics) Mathematical physics Mathematics |
| ISBN | 9780817648619 |
| Formato | Software  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000524199707536 |
| Boston : Birkhäuser, 2009 | ||
| Software | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Algebra without Borders – Classical and Constructive Nonassociative Algebraic Structures [[electronic resource] ] : Foundations and Applications / / edited by Mahouton Norbert Hounkonnou, Melanija Mitrović, Mujahid Abbas, Madad Khan
| Algebra without Borders – Classical and Constructive Nonassociative Algebraic Structures [[electronic resource] ] : Foundations and Applications / / edited by Mahouton Norbert Hounkonnou, Melanija Mitrović, Mujahid Abbas, Madad Khan |
| Autore | Hounkonnou Mahouton Norbert |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 |
| Descrizione fisica | 1 online resource (600 pages) |
| Disciplina | 512.48 |
| Altri autori (Persone) |
MitrovićMelanija
AbbasMujahid KhanMadad |
| Collana | STEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health |
| Soggetto topico |
Proof theory
Nonassociative rings Algebra, Homological Topological groups Lie groups Differential equations Proof Theory and Constructive Mathematics Non-associative Rings and Algebras Category Theory, Homological Algebra Topological Groups and Lie Groups Differential Equations |
| ISBN | 3-031-39334-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Quandles, knots, quandle rings and graphs (Elhamdadi) -- New splittings of operations of Poisson algebras and transposed Poisson algebras and related algebraic structures (Bai) -- Some varieties of loops (Bol-Moufang and non-Bol-Moufang types) (Sòlárìn) -- The ����3-graded extension of the Poincaré algebra (Kerner) -- Ternary Leibniz color algebras and beyond (Bakayoko) -- (Hom-)(co)associative ternary (co)algebras and infinitesimal ternary (hom-)bialgebras (Hounkonnou) -- Elduque-Myung type mutations of Hom-algebras (Silvestrov) -- (Hom-) ���� -generalizedWitt algebras (Hounkonnou) -- Some algebraic properties of representations of polynomial covariance commutation relations (Silvestrov) -- Applications of Quasigroups in Cryptography and Coding Theory (Trpcheska) -- Generalized quadratic quasigroup functional equations (Krapež) -- A Primer on Noncommutative Classical Dynamics on Velocity Phase Space and Souriau Formalism (Guha). |
| Record Nr. | UNINA-9910768194603321 |
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Hounkonnou Mahouton Norbert
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Algebraic and Algorithmic Aspects of Differential and Integral Operators [[electronic resource] ] : 5th International Meeting, AADIOS 2012, Held at the Applications of Computer Algebra Conference, ACA 2012, Sofia, Bulgaria, June 25-28, 2012, Selected and Invited Papers / / edited by Moulay Barkatou, Thomas Cluzeau, Georg Regensburger, Markus Rosenkranz
| Algebraic and Algorithmic Aspects of Differential and Integral Operators [[electronic resource] ] : 5th International Meeting, AADIOS 2012, Held at the Applications of Computer Algebra Conference, ACA 2012, Sofia, Bulgaria, June 25-28, 2012, Selected and Invited Papers / / edited by Moulay Barkatou, Thomas Cluzeau, Georg Regensburger, Markus Rosenkranz |
| Edizione | [1st ed. 2014.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2014 |
| Descrizione fisica | 1 online resource (XII, 201 p.) |
| Disciplina | 515.35 |
| Collana | Theoretical Computer Science and General Issues |
| Soggetto topico |
Computer science
Machine theory Computer science—Mathematics Discrete mathematics Algorithms Differential equations Computer Science Logic and Foundations of Programming Formal Languages and Automata Theory Discrete Mathematics in Computer Science Symbolic and Algebraic Manipulation Differential Equations |
| ISBN | 3-642-54479-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Constructions of Free Commutative Integro-Differential Algebras -- Basic Module Theory over Non-commutative Rings with Computational Aspects of Operator Algebras -- Operational Calculi for Nonlocal Cauchy Problems in Resonance Cases -- Intertwining Laplace Transformations of Linear Partial Differential Equations -- Composing and Factoring Generalized Green’s Operators and Ordinary Boundary Problems -- Relativistic Coulomb Integrals and Zeilberger’s Holonomic Systems Approach II -- Multivariate Dimension Polynomials of Inversive Difference Field Extensions -- Differential (Monoid) Algebra and More -- Exact Solution of Local and Nonlocal BVPs for the Laplace Equation in a Rectangle. |
| Record Nr. | UNISA-996205171203316 |
| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Algebraic and Algorithmic Aspects of Differential and Integral Operators [[electronic resource] ] : 5th International Meeting, AADIOS 2012, Held at the Applications of Computer Algebra Conference, ACA 2012, Sofia, Bulgaria, June 25-28, 2012, Selected and Invited Papers / / edited by Moulay Barkatou, Thomas Cluzeau, Georg Regensburger, Markus Rosenkranz
| Algebraic and Algorithmic Aspects of Differential and Integral Operators [[electronic resource] ] : 5th International Meeting, AADIOS 2012, Held at the Applications of Computer Algebra Conference, ACA 2012, Sofia, Bulgaria, June 25-28, 2012, Selected and Invited Papers / / edited by Moulay Barkatou, Thomas Cluzeau, Georg Regensburger, Markus Rosenkranz |
| Edizione | [1st ed. 2014.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2014 |
| Descrizione fisica | 1 online resource (XII, 201 p.) |
| Disciplina | 515.35 |
| Collana | Theoretical Computer Science and General Issues |
| Soggetto topico |
Computer science
Machine theory Computer science—Mathematics Discrete mathematics Algorithms Differential equations Computer Science Logic and Foundations of Programming Formal Languages and Automata Theory Discrete Mathematics in Computer Science Symbolic and Algebraic Manipulation Differential Equations |
| ISBN | 3-642-54479-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Constructions of Free Commutative Integro-Differential Algebras -- Basic Module Theory over Non-commutative Rings with Computational Aspects of Operator Algebras -- Operational Calculi for Nonlocal Cauchy Problems in Resonance Cases -- Intertwining Laplace Transformations of Linear Partial Differential Equations -- Composing and Factoring Generalized Green’s Operators and Ordinary Boundary Problems -- Relativistic Coulomb Integrals and Zeilberger’s Holonomic Systems Approach II -- Multivariate Dimension Polynomials of Inversive Difference Field Extensions -- Differential (Monoid) Algebra and More -- Exact Solution of Local and Nonlocal BVPs for the Laplace Equation in a Rectangle. |
| Record Nr. | UNINA-9910483312803321 |
| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Almost periodic solutions of impulsive differential equations [e-book] / by Gani T. Stamov
| Almost periodic solutions of impulsive differential equations [e-book] / by Gani T. Stamov |
| Autore | Stamov, Gani T. |
| Pubbl/distr/stampa | Berlin : Springer, 2012 |
| Descrizione fisica | digital |
| Disciplina | 515.352 |
| Collana | Lecture Notes in Mathematics, 0075-8434 ; 2047 |
| Soggetto topico |
Mathematics
Functional equations Differential Equations |
| ISBN | 9783642275463 |
| Classificazione |
AMS 34A27
AMS 34C27 AMS 34K14 AMS 34K45 |
| Formato | Risorse elettroniche  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001864509707536 |
|
Stamov, Gani T.
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| Berlin : Springer, 2012 | ||
| Risorse elettroniche | ||
| Lo trovi qui: Univ. del Salento | ||
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Analysis, Applications, and Computations [[electronic resource] ] : Proceedings of the 13th ISAAC Congress, Ghent, Belgium, 2021 / / edited by Uwe Kähler, Michael Reissig, Irene Sabadini, Jasson Vindas
| Analysis, Applications, and Computations [[electronic resource] ] : Proceedings of the 13th ISAAC Congress, Ghent, Belgium, 2021 / / edited by Uwe Kähler, Michael Reissig, Irene Sabadini, Jasson Vindas |
| Autore | Kähler Uwe |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2023 |
| Descrizione fisica | 1 online resource (696 pages) |
| Disciplina | 515 |
| Altri autori (Persone) |
ReissigMichael
SabadiniIrene VindasJasson |
| Collana | Research Perspectives |
| Soggetto topico |
Mathematical analysis
Differential equations Mathematics Analysis Differential Equations Applications of Mathematics |
| ISBN | 3-031-36375-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | - Part I Plenary Lecture -- A Review of Univariate and Multivariate Multifractal Analysis Illustrated by the Analysis of Marathon Runners Physiological Data -- Part II Applications of Dynamical Systems Theory in Biology -- Wavefronts in Forward-Backward Parabolic Equations and Applications to Biased Movements -- Bohr-Levitan Almost Periodic and Almost Automorphic Solutions of Equation x' (t) = f(t – 1, x(t – 1)) – f(t, x(t)) -- Periodic Solutions in a Differential Delay Equation Modeling Megakaryopoiesis -- Discrete and Continuous Models of the COVID-19 Pandemic Propagation with a Limited Time Spent in Compartments -- Part III Challenges in STEM Education -- Some Aspects of Usage of Digital Technologies in Mathematics Education -- Teaching of STEM Lectures During the COVID-19 Time -- Extra-Curricular Activities to Promote STEM Learning -- Usage of Online Platforms in Education of Mathematics in Transcarpathia at the Beginning of Quarantine -- The Use of Technologies to Promote Critical Thinking in Pre-service Teachers -- Alarming Changes in Polish Education vs Longlife and Remote Learning -- The Most Common Mathematical Mistakes in the Teaching of Scientific Subjects at Secondary Schools -- Challenges to the Development of Effective Creativity -- Part IV Complex Analysis and Partial Differential Equations -- Universality of the Dirichlet Series in the Complex Plane -- On One Oscillation Problem of Zeroth Approximation of Hierarchical Model for Porous Elastic Plates with Variable Thickness -- Solution of the Kirsch Problem for the Elastic Materials with Voids in the Case of Approximation N = 1 of Vekua’s Theory -- Analysis of BVP for Some Elliptic Systems on a Complex Plane -- Second Order Differential Operators Associated to the Space of Holomorphic Functions -- Constructional Method for a Non-local Boundary and Initial Problem Raised from a Free Boundary Model of Cancer -- Part V Complex Variables and Potential Theory -- A Perturbation Result for a Neumann Problem in a Periodic Domain -- On One Inequality for Non-overlapping Domains -- Schwarz Lemma Type Estimates for Solutions to Nonlinear Beltrami Equation -- On Conditions of Local Lineal Convexity Generalized to Commutative Algebras -- On a Quadrature Formula for the Direct Value of the Double Layer Potential -- Menchov–Trokhimchuk Theorem Generalized for Monogenic Functions in a Three-Dimensional Algebra -- Part VI Constructive Methods in the Theory of Composite and Porous Media -- Monodromy of Pfaffian Equations for Group-Valued Functions on Riemann Surfaces -- Introduction to Neoclassical Theory of Composites -- Analogues the Kolosov-Muskhelishvili Formulas for Isotropic Materials with Double Voids -- Schwarz-Christoffel Mapping and Generalised Modulus of a Quadrilateral -- Dimension Reduction in the Periodicity Cell Problem for Plate Reinforced by a Unidirectional System of Fibers -- Self-Consistent Approximations in the Theory of Composites and Their Limitations -- On Electromagnetic Wave Equations for a Nonhomegenous Microperiodic Medium -- Part VII Generalized Functions and Applications -- A Note on Composition Operators Between Weighted Spaces of Smooth Functions -- 1D Hyperbolic Systems with Nonlinear Boundary Conditions II: Criteria for Finite Time Stability -- 1D Hyperbolic Systems with Nonlinear Boundary Conditions I: .L2-Generalized Solutions -- On Classification of Semigroups Associated to Levy Processes -- Part VIII Harmonic Analysis and Partial Differential Equations -- The Index of Toeplitz Operators on Compact Lie Groups and on Simply Connected Closed 3-Manifolds -- Part IX Partial Differential Equations on Curved Spacetimes -- Lorentzian Spectral Zeta Functions on Asymptotically Minkowski Spacetimes -- Aspects of Non-associative Gauge Theory -- Remarks on Global Smoothing Effect of Solutions to Nonlinear ElasticWave Equations with Viscoelastic Term -- Local and Global Solutions for the Semilinear Proca Equations in the de Sitter Spacetime -- Numerical Simulations of Semilinear Klein–Gordon Equation in the de Sitter Spacetime with Structure-Preserving Scheme -- Part X Recent Progress in Evolution Equations -- Global Small Data Solutions for an Evolution Equation with Structural Damping and Hartree-Type Nonlinearity -- A Note on Continuity of Strongly Singular Calderón-Zygmund Operators in Hardy-Morrey Spaces -- The Asymptotic Estimates of the Solutions to the Linear Damping Models with Spatial Dependent Coefficients -- A Klein-Gordon Model with Time-Dependent Coefficients and a Memory-Type Nonlinearity -- Intrinsic Polynomial Squeezing for Balakrishnan-Taylor Beam Models -- On the Wave-Like Energy Estimates of Klein-Gordon Type Equations with Time Dependent Potential -- Non-Linear Evolution Equations with Non-Local Coefficients and Zero-Neumann Condition: One Dimensional Case -- Nonlinear Perturbed BLMP Equation -- Part XI Wavelet Theory and Its Related Topics -- Holomorphic Curves with Deficiencies and the Uniqueness Problem -- On Some Topics Related to the Gabor Wavelet Transform -- On the Diameters and Radii of the Extended Sierpiński Graphs -- Some Inequalities for Parseval Frames -- p-Adic Time-Frequency Analysis and Its Properties. |
| Record Nr. | UNINA-9910755076803321 |
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Kähler Uwe
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| Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Analyticity and Sparsity in Uncertainty Quantification for PDEs with Gaussian Random Field Inputs [[electronic resource] /] / by Dinh Dũng, Van Kien Nguyen, Christoph Schwab, Jakob Zech
| Analyticity and Sparsity in Uncertainty Quantification for PDEs with Gaussian Random Field Inputs [[electronic resource] /] / by Dinh Dũng, Van Kien Nguyen, Christoph Schwab, Jakob Zech |
| Autore | Dũng Dinh |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 |
| Descrizione fisica | 1 online resource (216 pages) |
| Disciplina | 515.35 |
| Altri autori (Persone) |
NguyenVan Kien
SchwabChristoph ZechJakob |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Differential equations
Probabilities Numerical analysis Functional analysis Differential Equations Probability Theory Numerical Analysis Functional Analysis |
| ISBN | 9783031383847 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Acknowledgement -- Contents -- List of Symbols -- List of Abbreviations -- 1 Introduction -- 1.1 An Example -- 1.2 Contributions -- 1.3 Scope of Results -- 1.4 Structure and Content of This Text -- 1.5 Notation and Conventions -- 2 Preliminaries -- 2.1 Finite Dimensional Gaussian Measures -- 2.1.1 Univariate Gaussian Measures -- 2.1.2 Multivariate Gaussian Measures -- 2.1.3 Hermite Polynomials -- 2.2 Gaussian Measures on Separable Locally Convex Spaces -- 2.2.1 Cylindrical Sets -- 2.2.2 Definition and Basic Properties of Gaussian Measures -- 2.3 Cameron-Martin Space -- 2.4 Gaussian Product Measures -- 2.5 Gaussian Series -- 2.5.1 Some Abstract Results -- 2.5.2 Karhunen-Loève Expansion -- 2.5.3 Multiresolution Representations of GRFs -- 2.5.4 Periodic Continuation of a Stationary GRF -- 2.5.5 Sampling Stationary GRFs -- 2.6 Finite Element Discretization -- 2.6.1 Function Spaces -- 2.6.2 Finite Element Interpolation -- 3 Elliptic Divergence-Form PDEs with Log-Gaussian Coefficient -- 3.1 Statement of the Problem and Well-Posedness -- 3.2 Lipschitz Continuous Dependence -- 3.3 Regularity of the Solution -- 3.4 Random Input Data -- 3.5 Parametric Deterministic Coefficient -- 3.5.1 Deterministic Countably Parametric Elliptic PDEs -- 3.5.2 Probabilistic Setting -- 3.5.3 Deterministic Complex-Parametric Elliptic PDEs -- 3.6 Analyticity and Sparsity -- 3.6.1 Parametric Holomorphy -- 3.6.2 Sparsity of Wiener-Hermite PC Expansion Coefficients -- 3.7 Parametric Hs(D)-Analyticity and Sparsity -- 3.7.1 Hs(D)-Analyticity -- 3.7.2 Sparsity of Wiener-Hermite PC Expansion Coefficients -- 3.8 Parametric Kondrat'ev Analyticity and Sparsity -- 3.8.1 Parametric Ks(D)-Analyticity -- 3.8.2 Sparsity of Ks-Norms of Wiener-Hermite PC Expansion Coefficients -- 3.9 Bibliographical Remarks -- 4 Sparsity for Holomorphic Functions.
4.1 (b,ξ,δ,X)-Holomorphy and Sparsity -- 4.2 (b,ξ,δ,X)-Holomorphy of Composite Functions -- 4.3 Examples of Holomorphic Data-to-Solution Maps -- 4.3.1 Linear Elliptic Divergence-Form PDE with Parametric Diffusion Coefficient -- 4.3.2 Linear Parabolic PDE with Parametric Coefficient -- 4.3.3 Linear Elastostatics with Log-Gaussian Modulus of Elasticity -- 4.3.4 Maxwell Equations with Log-Gaussian Permittivity -- 4.3.5 Linear Parametric Elliptic Systems and Transmission Problems -- 5 Parametric Posterior Analyticity and Sparsity in BIPs -- 5.1 Formulation and Well-Posedness -- 5.2 Posterior Parametric Holomorphy -- 5.3 Example: Parametric Diffusion Coefficient -- 6 Smolyak Sparse-Grid Interpolation and Quadrature -- 6.1 Smolyak Sparse-Grid Interpolation and Quadrature -- 6.1.1 Smolyak Sparse-Grid Interpolation -- 6.1.2 Smolyak Sparse-Grid Quadrature -- 6.2 Multiindex Sets -- 6.2.1 Number of Function Evaluations -- 6.2.2 Construction of (ck,ν)νF -- 6.2.3 Summability Properties of the Collection (ck,ν)νF -- 6.2.4 Computing -- 6.3 Interpolation Convergence Rate -- 6.4 Quadrature Convergence Rate -- 7 Multilevel Smolyak Sparse-Grid Interpolation and Quadrature -- 7.1 Setting and Notation -- 7.2 Multilevel Smolyak Sparse-Grid Algorithms -- 7.3 Construction of an Allocation of Discretization Levels -- 7.4 Multilevel Smolyak Sparse-Grid Interpolation Algorithm -- 7.5 Multilevel Smolyak Sparse-Grid Quadrature Algorithm -- 7.6 Examples for Multilevel Interpolation and Quadrature -- 7.6.1 Parametric Diffusion Coefficient in Polygonal Domain -- 7.6.2 Parametric Holomorphy of the Posterior Density in Bayesian PDE Inversion -- 7.7 Linear Multilevel Interpolation and Quadrature Approximation -- 7.7.1 Multilevel Smolyak Sparse-Grid Interpolation -- 7.7.2 Multilevel Smolyak Sparse-Grid Quadrature -- 7.7.3 Applications to Parametric Divergence-Form EllipticPDEs. 7.7.4 Applications to Holomorphic Functions -- 8 Conclusions -- References -- Index. |
| Record Nr. | UNISA-996558453803316 |
|
Dũng Dinh
|
||
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Analyticity and Sparsity in Uncertainty Quantification for PDEs with Gaussian Random Field Inputs [[electronic resource] /] / by Dinh Dũng, Van Kien Nguyen, Christoph Schwab, Jakob Zech
| Analyticity and Sparsity in Uncertainty Quantification for PDEs with Gaussian Random Field Inputs [[electronic resource] /] / by Dinh Dũng, Van Kien Nguyen, Christoph Schwab, Jakob Zech |
| Autore | Dũng Dinh |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 |
| Descrizione fisica | 1 online resource (216 pages) |
| Disciplina | 515.35 |
| Altri autori (Persone) |
NguyenVan Kien
SchwabChristoph ZechJakob |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Differential equations
Probabilities Numerical analysis Functional analysis Differential Equations Probability Theory Numerical Analysis Functional Analysis |
| ISBN | 9783031383847 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Acknowledgement -- Contents -- List of Symbols -- List of Abbreviations -- 1 Introduction -- 1.1 An Example -- 1.2 Contributions -- 1.3 Scope of Results -- 1.4 Structure and Content of This Text -- 1.5 Notation and Conventions -- 2 Preliminaries -- 2.1 Finite Dimensional Gaussian Measures -- 2.1.1 Univariate Gaussian Measures -- 2.1.2 Multivariate Gaussian Measures -- 2.1.3 Hermite Polynomials -- 2.2 Gaussian Measures on Separable Locally Convex Spaces -- 2.2.1 Cylindrical Sets -- 2.2.2 Definition and Basic Properties of Gaussian Measures -- 2.3 Cameron-Martin Space -- 2.4 Gaussian Product Measures -- 2.5 Gaussian Series -- 2.5.1 Some Abstract Results -- 2.5.2 Karhunen-Loève Expansion -- 2.5.3 Multiresolution Representations of GRFs -- 2.5.4 Periodic Continuation of a Stationary GRF -- 2.5.5 Sampling Stationary GRFs -- 2.6 Finite Element Discretization -- 2.6.1 Function Spaces -- 2.6.2 Finite Element Interpolation -- 3 Elliptic Divergence-Form PDEs with Log-Gaussian Coefficient -- 3.1 Statement of the Problem and Well-Posedness -- 3.2 Lipschitz Continuous Dependence -- 3.3 Regularity of the Solution -- 3.4 Random Input Data -- 3.5 Parametric Deterministic Coefficient -- 3.5.1 Deterministic Countably Parametric Elliptic PDEs -- 3.5.2 Probabilistic Setting -- 3.5.3 Deterministic Complex-Parametric Elliptic PDEs -- 3.6 Analyticity and Sparsity -- 3.6.1 Parametric Holomorphy -- 3.6.2 Sparsity of Wiener-Hermite PC Expansion Coefficients -- 3.7 Parametric Hs(D)-Analyticity and Sparsity -- 3.7.1 Hs(D)-Analyticity -- 3.7.2 Sparsity of Wiener-Hermite PC Expansion Coefficients -- 3.8 Parametric Kondrat'ev Analyticity and Sparsity -- 3.8.1 Parametric Ks(D)-Analyticity -- 3.8.2 Sparsity of Ks-Norms of Wiener-Hermite PC Expansion Coefficients -- 3.9 Bibliographical Remarks -- 4 Sparsity for Holomorphic Functions.
4.1 (b,ξ,δ,X)-Holomorphy and Sparsity -- 4.2 (b,ξ,δ,X)-Holomorphy of Composite Functions -- 4.3 Examples of Holomorphic Data-to-Solution Maps -- 4.3.1 Linear Elliptic Divergence-Form PDE with Parametric Diffusion Coefficient -- 4.3.2 Linear Parabolic PDE with Parametric Coefficient -- 4.3.3 Linear Elastostatics with Log-Gaussian Modulus of Elasticity -- 4.3.4 Maxwell Equations with Log-Gaussian Permittivity -- 4.3.5 Linear Parametric Elliptic Systems and Transmission Problems -- 5 Parametric Posterior Analyticity and Sparsity in BIPs -- 5.1 Formulation and Well-Posedness -- 5.2 Posterior Parametric Holomorphy -- 5.3 Example: Parametric Diffusion Coefficient -- 6 Smolyak Sparse-Grid Interpolation and Quadrature -- 6.1 Smolyak Sparse-Grid Interpolation and Quadrature -- 6.1.1 Smolyak Sparse-Grid Interpolation -- 6.1.2 Smolyak Sparse-Grid Quadrature -- 6.2 Multiindex Sets -- 6.2.1 Number of Function Evaluations -- 6.2.2 Construction of (ck,ν)νF -- 6.2.3 Summability Properties of the Collection (ck,ν)νF -- 6.2.4 Computing -- 6.3 Interpolation Convergence Rate -- 6.4 Quadrature Convergence Rate -- 7 Multilevel Smolyak Sparse-Grid Interpolation and Quadrature -- 7.1 Setting and Notation -- 7.2 Multilevel Smolyak Sparse-Grid Algorithms -- 7.3 Construction of an Allocation of Discretization Levels -- 7.4 Multilevel Smolyak Sparse-Grid Interpolation Algorithm -- 7.5 Multilevel Smolyak Sparse-Grid Quadrature Algorithm -- 7.6 Examples for Multilevel Interpolation and Quadrature -- 7.6.1 Parametric Diffusion Coefficient in Polygonal Domain -- 7.6.2 Parametric Holomorphy of the Posterior Density in Bayesian PDE Inversion -- 7.7 Linear Multilevel Interpolation and Quadrature Approximation -- 7.7.1 Multilevel Smolyak Sparse-Grid Interpolation -- 7.7.2 Multilevel Smolyak Sparse-Grid Quadrature -- 7.7.3 Applications to Parametric Divergence-Form EllipticPDEs. 7.7.4 Applications to Holomorphic Functions -- 8 Conclusions -- References -- Index. |
| Record Nr. | UNINA-9910751387703321 |
|
Dũng Dinh
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||
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Soggetto topico
-
Differential Equations
(120)
- Differential equations (102)
- Mathematics (28)
- Functional analysis (24)
- Functional Analysis (23)