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Paperback. Condizione: new. Paperback. This book introduces a new fast high-order method for approximating volume potentials and other integral operators with singular kernel. These operators arise naturally in many fields, including physics, chemistry, biology, and financial mathematics. A major impediment to solving real world… problems is the so-called curse of dimensionality, where the cubature of these operators requires a computational complexity that grows exponentially in the physical dimension. The development of separated representations has overcome this curse, enabling the treatment of higher-dimensional numerical problems. The method of approximate approximations discussed here provides high-order semi-analytic cubature formulas for many important integral operators of mathematical physics. By using products of Gaussians and special polynomials as basis functions, the action of the integral operators can be written as one-dimensional integrals with a separable integrand. The approximation of a separated representation of the density combined with a suitable quadrature of the one-dimensional integrals leads to a separated approximation of the integral operator. This method is also effective in high-dimensional cases. The book is intended for graduate students and researchers interested in applied approximation theory and numerical methods for solving problems of mathematical physics. The approximation of a separated representation of the density combined with a suitable quadrature of the one-dimensional integrals leads to a separated approximation of the integral operator. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
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Paperback. Condizione: new. Paperback. This book introduces a new fast high-order method for approximating volume potentials and other integral operators with singular kernel. These operators arise naturally in many fields, including physics, chemistry, biology, and financial mathematics. A major impediment to solving real world… problems is the so-called curse of dimensionality, where the cubature of these operators requires a computational complexity that grows exponentially in the physical dimension. The development of separated representations has overcome this curse, enabling the treatment of higher-dimensional numerical problems. The method of approximate approximations discussed here provides high-order semi-analytic cubature formulas for many important integral operators of mathematical physics. By using products of Gaussians and special polynomials as basis functions, the action of the integral operators can be written as one-dimensional integrals with a separable integrand. The approximation of a separated representation of the density combined with a suitable quadrature of the one-dimensional integrals leads to a separated approximation of the integral operator. This method is also effective in high-dimensional cases. The book is intended for graduate students and researchers interested in applied approximation theory and numerical methods for solving problems of mathematical physics. The approximation of a separated representation of the density combined with a suitable quadrature of the one-dimensional integrals leads to a separated approximation of the integral operator. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.
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Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book introduces a new fast high-order method for approximating volume potentials and other integral operators with singular kernel. These operators arise naturally in many fields, including physics, chemistry, biology, and financial mathemati…cs. A major impediment to solving real world problems is the so-called curse of dimensionality, where the cubature of these operators requires a computational complexity that grows exponentially in the physical dimension. The development of separated representations has overcome this curse, enabling the treatment of higher-dimensional numerical problems. The method of approximate approximations discussed here provides high-order semi-analytic cubature formulas for many important integral operators of mathematical physics. By using products of Gaussians and special polynomials as basis functions, the action of the integral operators can be written as one-dimensional integrals with a separable integrand. The approximation of a separated representation of the density combined with a suitable quadrature of the one-dimensional integrals leads to a separated approximation of the integral operator. This method is also effective in high-dimensional cases. The book is intended for graduate students and researchers interested in applied approximation theory and numerical methods for solving problems of mathematical physics.
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Taschenbuch. Condizione: Neu. Fast Computation of Volume Potentials by Approximate Approximations | Flavia Lanzara (u. a.) | Taschenbuch | Lecture Notes in Mathematics | x | Englisch | 2025 | Springer | EAN 9783031974410 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]h…artmann[at]springer[dot]com | Anbieter: preigu.
Lingua: Inglese
Editore: Springer 2009
Serie: Operator Theory: Advances and Applications, Libro 46 di 132. Libro 46 di 132 - Operator Theory: Advances and Applications
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Analysis, Partial Differential Equations and Applications : The Vladimir Maz'ya Anniversary Volume
Cialdea, Alberto (EDT); Lanzara, Flavia (EDT); Ricci, Paolo Emilio (EDT)
Lingua: Inglese
Editore: Birkhäuser 2009
Serie: Operator Theory: Advances and Applications, Libro 46 di 132. Libro 46 di 132 - Operator Theory: Advances and Applications
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Serie: Operator Theory: Advances and Applications, Libro 46 di 132. Libro 46 di 132 - Operator Theory: Advances and Applications
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Serie: Operator Theory: Advances and Applications, Libro 46 di 132. Libro 46 di 132 - Operator Theory: Advances and Applications
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Paperback. Condizione: new. Paperback. This book introduces a new fast high-order method for approximating volume potentials and other integral operators with singular kernel. These operators arise naturally in many fields, including physics, chemistry, biology, and financial mathematics. A major impediment to solving real world… problems is the so-called curse of dimensionality, where the cubature of these operators requires a computational complexity that grows exponentially in the physical dimension. The development of separated representations has overcome this curse, enabling the treatment of higher-dimensional numerical problems. The method of approximate approximations discussed here provides high-order semi-analytic cubature formulas for many important integral operators of mathematical physics. By using products of Gaussians and special polynomials as basis functions, the action of the integral operators can be written as one-dimensional integrals with a separable integrand. The approximation of a separated representation of the density combined with a suitable quadrature of the one-dimensional integrals leads to a separated approximation of the integral operator. This method is also effective in high-dimensional cases. The book is intended for graduate students and researchers interested in applied approximation theory and numerical methods for solving problems of mathematical physics. The approximation of a separated representation of the density combined with a suitable quadrature of the one-dimensional integrals leads to a separated approximation of the integral operator. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.
Analysis, Partial Differential Equations and Applications : The Vladimir Maz'ya Anniversary Volume
Cialdea, Alberto (EDT); Lanzara, Flavia (EDT); Ricci, Paolo Emilio (EDT)
Lingua: Inglese
Editore: Birkhäuser 2009
Serie: Operator Theory: Advances and Applications, Libro 46 di 132. Libro 46 di 132 - Operator Theory: Advances and Applications
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Serie: Operator Theory: Advances and Applications, Libro 46 di 132. Libro 46 di 132 - Operator Theory: Advances and Applications
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Serie: Operator Theory: Advances and Applications, Libro 46 di 132. Libro 46 di 132 - Operator Theory: Advances and Applications
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Serie: Operator Theory: Advances and Applications, Libro 46 di 132. Libro 46 di 132 - Operator Theory: Advances and Applications
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Condizione: Sehr gut. Zustand: Sehr gut | Seiten: 356 | Sprache: Englisch | Produktart: Bücher | This volume includes several invited lectures given at the International Workshop "Analysis, Partial Differential Equations and Applications", held at the Mathematical Department of Sapienza University of Rome, on the occasion of the… 70th birthday of Vladimir G. Maz'ya, a renowned mathematician and one of the main experts in the field of pure and applied analysis.The book aims at spreading the seminal ideas of Maz'ya to a larger audience in faculties of sciences and engineering. In fact, all articles were inspired by previous works of Maz'ya in several frameworks, including classical and contemporary problems connected with boundary and initial value problems for elliptic, hyperbolic and parabolic operators, Schrödinger-type equations, mathematical theory of elasticity, potential theory, capacity, singular integral operators, p-Laplacians, functional analysis, and approximation theory. Maz'ya is author of more than 450 papers and 20 books. In his long career he obtained many astonishing and frequently cited results in the theory of harmonic potentials on non-smooth domains, potential and capacity theories, spaces of functions with bounded variation, maximum principle for higher-order elliptic equations, Sobolev multipliers, approximate approximations, etc. The topics included in this volume will be particularly useful to all researchers who are interested in achieving a deeper understanding of the large expertise of Vladimir Maz'ya.
Analysis, Partial Differential Equations and Applications
. Ed(s): Cialdea, Alberto; Lanzara, Flavia; Ricci, Paolo Emilio
Lingua: Inglese
Editore: Birkhauser Verlag AG 2009
Serie: Operator Theory: Advances and Applications, Libro 46 di 132. Libro 46 di 132 - Operator Theory: Advances and Applications
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Condizione: New. Contains some of the invited lectures presented at the International Conference Analysis, PDEs and Applications, held in Rome in July 2008, and dedicated to Vladimir G Maz'ya on the occasion of his 70th birthday. This title present surveys as well as fresh results in the areas in which Maz'ya gave seminal contri…butions. Editor(s): Cialdea, Alberto; Lanzara, Flavia; Ricci, Paolo Emilio. Series: Operator Theory: Advances and Applications. Num Pages: 351 pages, biography. BIC Classification: PBKB; PBKJ. Category: (P) Professional & Vocational. Dimension: 244 x 170 x 23. Weight in Grams: 794. . 2009. 2009th Edition. hardcover. . . . .
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Serie: Operator Theory: Advances and Applications, Libro 46 di 132. Libro 46 di 132 - Operator Theory: Advances and Applications
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Buch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - This volume includes several invited lectures given at the International Workshop 'Analysis, Partial Differential Equations and Applications', held at the Mathematical Department of Sapienza University of Rome, on the occasion of the 70th birthday of Vla…dimir G. Maz'ya, a renowned mathematician and one of the main experts in the field of pure and applied analysis.The book aims at spreading the seminal ideas of Maz'ya to a larger audience in faculties of sciences and engineering. In fact, all articles were inspired by previous works of Maz'ya in several frameworks, including classical and contemporary problems connected with boundary and initial value problems for elliptic, hyperbolic and parabolic operators, Schrödinger-type equations, mathematical theory of elasticity, potential theory, capacity, singular integral operators, p-Laplacians, functional analysis, and approximation theory. Maz'ya is author of more than 450 papers and 20 books. In his long career he obtained many astonishing and frequently cited results in the theory of harmonic potentials on non-smooth domains, potential and capacity theories, spaces of functions with bounded variation, maximum principle for higher-order elliptic equations, Sobolev multipliers, approximate approximations, etc. The topics included in this volume will be particularly useful to all researchers who are interested in achieving a deeper understanding of the large expertise of Vladimir Maz'ya.
Analysis, Partial Differential Equations and Applications: The Vladimir Maz'ya Anniversary Volume (Operator Theory: Advances and Applications)
Cialdea, Alberto (Editor) / Lanzara, Flavia (Editor) / Ricci, Paolo Emilio (Editor)
Lingua: Inglese
Editore: Birkhäuser Basel 2009
Serie: Operator Theory: Advances and Applications, Libro 46 di 132. Libro 46 di 132 - Operator Theory: Advances and Applications
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Analysis, Partial Differential Equations and Applications : The Vladimir Maz'ya Anniversary Volume
Cialdea, Alberto (EDT); Lanzara, Flavia (EDT); Ricci, Paolo Emilio (EDT)
Lingua: Inglese
Editore: Birkhäuser 2009
Serie: Operator Theory: Advances and Applications, Libro 46 di 132. Libro 46 di 132 - Operator Theory: Advances and Applications
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Analysis, Partial Differential Equations and Applications
. Ed(s): Cialdea, Alberto; Lanzara, Flavia; Ricci, Paolo Emilio
Lingua: Inglese
Editore: Birkhauser Verlag AG 2009
Serie: Operator Theory: Advances and Applications, Libro 46 di 132. Libro 46 di 132 - Operator Theory: Advances and Applications
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Condizione: New. Contains some of the invited lectures presented at the International Conference Analysis, PDEs and Applications, held in Rome in July 2008, and dedicated to Vladimir G Maz'ya on the occasion of his 70th birthday. This title present surveys as well as fresh results in the areas in which Maz'ya gave seminal contri…butions. Editor(s): Cialdea, Alberto; Lanzara, Flavia; Ricci, Paolo Emilio. Series: Operator Theory: Advances and Applications. Num Pages: 351 pages, biography. BIC Classification: PBKB; PBKJ. Category: (P) Professional & Vocational. Dimension: 244 x 170 x 23. Weight in Grams: 794. . 2009. 2009th Edition. hardcover. . . . . Books ship from the US and Ireland.
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Serie: Operator Theory: Advances and Applications, Libro 46 di 132. Libro 46 di 132 - Operator Theory: Advances and Applications
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Analysis, Partial Differential Equations and Applications : The Vladimir Maz'ya Anniversary Volume
Cialdea, Alberto (EDT); Lanzara, Flavia (EDT); Ricci, Paolo Emilio (EDT)
Lingua: Inglese
Editore: Birkhäuser 2009
Serie: Operator Theory: Advances and Applications, Libro 46 di 132. Libro 46 di 132 - Operator Theory: Advances and Applications
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Paperback. Condizione: Brand New. 250 pages. 9.25x6.10x9.21 inches. In Stock. This item is printed on demand.
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book introduces a new fast high-order method for approximating volume potentials and other integral operators with singular kernel. These operators arise naturally in many fields, including physics, chemistry, biology, and fin…ancial mathematics. A major impediment to solving real world problems is the so-called curse of dimensionality, where the cubature of these operators requires a computational complexity that grows exponentially in the physical dimension. The development of separated representations has overcome this curse, enabling the treatment of higher-dimensional numerical problems. The method of approximate approximations discussed here provides high-order semi-analytic cubature formulas for many important integral operators of mathematical physics. By using products of Gaussians and special polynomials as basis functions, the action of the integral operators can be written as one-dimensional integrals with a separable integrand. The approximation of a separated representation of the density combined with a suitable quadrature of the one-dimensional integrals leads to a separated approximation of the integral operator. This method is also effective in high-dimensional cases. The book is intended for graduate students and researchers interested in applied approximation theory and numerical methods for solving problems of mathematical physics. 264 pp. Englisch.
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