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Record Nr. |
UNINA9910139600203321 |
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Autore |
Lui S. H (Shaun H.), <1961-> |
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Titolo |
Numerical analysis of partial differential equations [[electronic resource] /] / S.H. Lui |
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Pubbl/distr/stampa |
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Hoboken, N.J., : Wiley, c2011 |
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ISBN |
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1-283-28277-1 |
9786613282774 |
1-118-11111-7 |
1-118-11113-3 |
1-118-11110-9 |
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Descrizione fisica |
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1 online resource (508 p.) |
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Collana |
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Pure and applied mathematics : a Wiley series of texts, monographs, and tracts |
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Classificazione |
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Disciplina |
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Soggetti |
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Differential equations, Partial - Numerical solutions |
Variational inequalities (Mathematics) |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Numerical Analysis of Partial Differential Equations; Contents; Preface; Acknowledgments; 1 Finite Difference; 1.1 Second-Order Approximation for Δ; 1.2 Fourth-Order Approximation for Δ; 1.3 Neumann Boundary Condition; 1.4 Polar Coordinates; 1.5 Curved Boundary; 1.6 Difference Approximation for Δ2; 1.7 A Convection-Diffusion Equation; 1.8 Appendix: Analysis of Discrete Operators; 1.9 Summary and Exercises; 2 Mathematical Theory of Elliptic PDEs; 2.1 Function Spaces; 2.2 Derivatives; 2.3 Sobolev Spaces; 2.4 Sobolev Embedding Theory; 2.5 Traces; 2.6 Negative Sobolev Spaces |
2.7 Some Inequalities and Identities2.8 Weak Solutions; 2.9 Linear Elliptic PDEs; 2.10 Appendix: Some Definitions and Theorems; 2.11 Summary and Exercises; 3 Finite Elements; 3.1 Approximate Methods of Solution; 3.2 Finite Elements in 1D; 3.3 Finite Elements in 2D; 3.4 Inverse Estimate; 3.5 L2 and Negative-Norm Estimates; 3.6 Higher-Order Elements; 3.7 A Posteriori Estimate; 3.8 Quadrilateral Elements; 3.9 Numerical Integration; 3.10 Stokes Problem; 3.11 Linear Elasticity; |
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3.12 Summary and Exercises; 4 Numerical Linear Algebra; 4.1 Condition Number; 4.2 Classical Iterative Methods |
4.3 Krylov Subspace Methods4.4 Direct Methods; 4.5 Preconditioning; 4.6 Appendix: Chebyshev Polynomials; 4.7 Summary and Exercises; 5 Spectral Methods; 5.1 Trigonometric Polynomials; 5.2 Fourier Spectral Method; 5.3 Orthogonal Polynomials; 5.4 Spectral Galerkin and Spectral Tau Methods; 5.5 Spectral Collocation; 5.6 Polar Coordinates; 5.7 Neumann Problems; 5.8 Fourth-Order PDEs; 5.9 Summary and Exercises; 6 Evolutionary PDEs; 6.1 Finite Difference Schemes for Heat Equation; 6.2 Other Time Discretization Schemes; 6.3 Convection-Dominated equations; 6.4 Finite Element Scheme for Heat Equation |
6.5 Spectral Collocation for Heat Equation6.6 Finite Difference Scheme for Wave Equation; 6.7 Dispersion; 6.8 Summary and Exercises; 7 Multigrid; 7.1 Introduction; 7.2 Two-Grid Method; 7.3 Practical Multigrid Algorithms; 7.4 Finite Element Multigrid; 7.5 Summary and Exercises; 8 Domain Decomposition; 8.1 Overlapping Schwarz Methods; 8.2 Orthogonal Projections; 8.3 Non-overlapping Schwarz Method; 8.4 Substructuring Methods; 8.5 Optimal Substructuring Methods; 8.6 Summary and Exercises; 9 Infinite Domains; 9.1 Absorbing Boundary Conditions; 9.2 Dirichlet-Neumann Map; 9.3 Perfectly Matched Layer |
9.4 Boundary Integral Methods9.5 Fast Multipole Method; 9.6 Summary and Exercises; 10 Nonlinear Problems; 10.1 Newton's Method; 10.2 Other Methods; 10.3 Some Nonlinear Problems; 10.4 Software; 10.5 Program Verification; 10.6 Summary and Exercises; Answers to Selected Exercises; References; Index |
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Sommario/riassunto |
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A balanced guide to the essential techniques for solving elliptic partial differential equations Numerical Analysis of Partial Differential Equations provides a comprehensive, self-contained treatment of the quantitative methods used to solve elliptic partial differential equations (PDEs), with a focus on the efficiency as well as the error of the presented methods. The author utilizes coverage of theoretical PDEs, along with the nu merical solution of linear systems and various examples and exercises, to supply readers with an introduction to the essential concepts in the num |
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2. |
Record Nr. |
UNINA9910794418303321 |
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Titolo |
101 medical autopsy cases, adult and pediatric : with complete pathological/clinical details and review of literature / / editor, Nandita Bharadwaj Kakkar, foreword Vinay Kumar |
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Pubbl/distr/stampa |
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New Delhi ; ; London ; ; Panama : , : Jaypee Brothers Medical Publishers, , [2019] |
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©2019 |
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ISBN |
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Descrizione fisica |
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1 online resource (795 pages) |
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Disciplina |
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Soggetti |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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Cover -- Book Title -- Copyright Page -- Dedicated -- Contributors -- Foreword -- Preface -- Acknowledgments -- Contents -- Introduction -- Section-1: Hematological Disorders Adult Cases -- Chapter-1: Mantle Cell Lymphoma, Presenting with Florid Cutaneous Lesions, with Common Variant Morphology in the Nodal/Extranodal Sites and Blastoid Morphology in the Peripheral Blood: PM 25983 -- Chapter-2: Primary Myelofibrosis, Cellular Phase with Formation of Sclerosing Extramedullary Hematopoietic Tumors: PM 27873 -- Chapter-3: Primary Myelofibrosis, Cellular Phase with Extensive Extramedullary Hematopoiesis and Transformation into Acute Leukemia: PM 23618 -- Chapter-4: Hepatosplenic T-cell Lymphoma: PM 23096 -- Chapter-5: Acute Promyelocytic Leukemia with Early Death due to Disseminated Intravascular Coagulation and Right Temporal Lobe Hemorrhage: PM 26880 -- Chapter-6: Acute Promyelocytic Leukemia with Differentiation Syndrome: PM 17959 -- Chapter-7: Chronic Lymphatic Leukemia, Post-Bone Marrow Transplantation with Recurrence, Massive Lymphadenopathy and Hemophagocytosis: PM 21710 -- Chapter-8: Symptomatic Plasma Cell Myeloma with Primary Systemic Amyloidosis Showing a Predominant Involvement of the Heart and Gastrointestinal Tract: PM 19667 -- Section-2: Malignancy Adult Cases -- Chapter-9: |
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Microscopic/Occult Testicular Seminoma with Germ Cell Neoplasia in situ and Widespread Nonseminomatous Metastasis in a Young Male: PM 14170 -- Chapter-10: Malignant Teratoma, Primary Pulmonary, Containing Yolk Sac Tumor, Associated with Hematologic Neoplasia: PM 13633 -- Chapter-11: Young Male with Metastasis: Do not Waste Time-Look for the Primary in the Testes: PM 19388. |
Chapter-12: Occult, Peripheral, Mucin-secreting Adenocarcinoma of Lung with Florid Meningeal Carcinomatosis along with Thrombotic Microangiopathy and Disseminated Intravascular Coagulation, Leading to Bilateral Renal Infarction: PM 26226 -- Chapter-13: Young Male with Occult, Diffuse Type, Mucin-secreting Adenocarcinoma of the Stomach with Extensive Lymphangitic Carcinomatosis, Presenting with Deep Vein Thrombosis and Pulmonary Embolism: PM 21829 -- Section-3: Infections Adult Cases -- Chapter-14: Amebic Ileocolitis, Perforation and Liver Abscess: PM 18836 -- Chapter-15: Cerebral Toxoplasmosis in a Human Immunodeficiency Virus Positive Patient: PM 19210 -- Chapter-16: Pulmonary Hyalinizing Granuloma with Recent Onset Cryptococcal Meningoencephalitis in an Immunocompetent Male: PM 21122 -- Chapter-17: Leptospirosis with Multiorgan Involvement: PM 22793 -- Chapter-18: Silicotuberculosis: PM 26075 -- Chapter-19: Rabies Meningoencephalitis, Post-Pet Dog Bite: PM 27786 -- Section-4: Hepatobiliary and Pancreatic Disorders Adult Cases -- Chapter-20: Extrahepatic Portal Venous Obstruction due to Cavernomatous Transformation of Portal Vein and Portal Cavernoma Cholangiopathy: PM 22260 -- Chapter-21: Chronic Budd-Chiari Syndrome with Mesoatrial Shunt, Venocentric Cirrhosis, Hepatocellular Carcinoma Infiltrating into the Hepatic Duct Causing Obstruction and Hemobilia: PM 27800 -- Chapter-22: Acute on Chronic Pancreatitis Leading to Portal Vein Pyemia, with Multiple Liver Abscesses and Life-threatening Sepsis Shock: PM 25975 -- Chapter-23: Lipomatous Pseudohypertrophy of the Pancreas with Polyglandular Autoimmune Syndrome Type II and Inflammatory Myopathy: PM 22590 -- Chapter-24: Young Male with Early Onset Micronodular Cirrhosis due to Synergistic Hepatotoxic effect of Alcohol and Hepatitis C Virus Infection along with Cryoglobulinemic Vasculitis: PM 27791. |
Chapter-25: Diffuse Hepatocellular Carcinoma Arising in a Setting of Mixed Nodular Cirrhosis, Hepatitis C Virus and Alcohol Related: PM 26695 -- Chapter-26: Acute Liver Failure and Encephalopathy in a Case of Dengue Shock Syndrome: PM 25035 -- Chapter-27: Postpartum, Hyperacute, Fulminant Hepatic Failure due to Hepatitis E Virus: PM 26595 -- Chapter-28: Sporadic, Hepatitis E-related Massive Hepatic Necrosis in a Young Female: PM 26254 -- Chapter-29: A Classical Case of Wilson's Disease with Hepatic and Neuropsychiatric Manifestations: PM 26195 -- Section-5: Cardiovascular System Adult Cases -- Chapter-30: Silent Healed Myocardial Infarction and its Complications-Infarct Expansion, Mural Thrombosis, Aneurysm Formation, Extensive Arterial Embolization, Deep Vein Thrombosis and Subsequent Fatal Venous Thromboembolism: PM 21817 -- Chapter-31: Coexistence of Acute-on-Chronic Rheumatic Heart Disease and Acute Poststreptococcal Glomerulonephritis: PM 21119 -- Chapter-32: A Classical Case of Marfan Syndrome with Aortic Root Dilatation, Aneurysm of the Ascending Aorta and Acute Aortic Dissection: PM 22554 -- Chapter-33: Adult Tetralogy of Fallot with Tricuspid Valve Infective Endocarditis and Thromboembolic Botryomycotic Cerebral Abscess: PM 26941 -- Chapter-34: Cocaine-induced Vasculopathy Leading to Cardiomyopathy, Renal Infarcts, Gangrene of Digits with Autoamputation: PM 23445 -- Chapter-35: Aftermath of Hypertension in a Middleaged Male-Intraparenchymal Brain Hemorrhage, Pontine and |
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Thalamic: PM 26485 -- Section-6: Systemic Vasculitides Adult and Pediatric Cases -- Chapter-36: Renal Limited Microscopic Polyangiitis: PM 13127 -- Chapter-37: Microscopic Polyangiitis, ANCA Negative, with Florid Glomerulitis and Granulomatous Glomerulonephritis: PM 15649 -- Chapter-38: Microscopic Polyangiitis in a Child: PM 16450. |
Chapter-39: Microscopic Polyangiitis, ANCA Negative, Clinically Mimicking Granulomatosis with Polyangiitis (Wegener's Granulomatosis) and Presenting with a Breast Mass: PM 18473 -- Chapter-40: Microscopic Polyangiitis-Chronic Phase: PM 18987 -- Chapter-41: Microscopic Polyangiitis with Acute Vasculitis of Small, Medium and Large-sized Arteries: PM 20415 -- Chapter-42: p-ANCA Positive Classic Polyarteritis Nodosa: PM 24277 -- Chapter-43: Takayasu's Aortoarteritis, Pulmonary Hypertension, and Pulmonary Capillary Hemangiomatosis: PM 14993 -- Chapter-44: Takayasu Aortoarteritis, Presenting with Pulmonary Arterial Hypertension Secondary to Extensive Involvement of Right Pulmonary Artery: PM 25988 -- Chapter-45: Granulomatosis with Polyangiitis (Wegener's Granulomatosis) with Left Foot Gangrene and Right Hemiplegia: PM 14106 -- Chapter-46: Granulomatosis with Polyangiitis-Wegener's Granulomatosis, Presenting as an Anterior Mediastinal Mass: PM 18613 -- Chapter-47: Granulomatosis with Polyangiitis, i.e. Wegener's with Multiple Pulmonary Nodules and Total Splenic Necrosis: PM 21594 -- Chapter-48: c-ANCA Positive, Nonreactive, Disseminated Tuberculosis with Pulmonary and Mesenteric Vasculitis: PM 14513 -- Section-7: Primary Renal Mucormycosis Adult and Pediatric Cases -- Chapter-49: Isolated Bilateral Renal Mucormycosis with Contiguous Spread to the Adrenals, Mesentery, Pancreas and Colon in an Apparently Immunocompetent Adult: PM 27250 -- Chapter-50: Primary Bilateral Renal Mucormycosis in an Apparently Immunocompetent Child: PM 22863 -- Section-8: Histiocytosis Pediatric and Adult Cases -- Chapter-51: Primary/Familial Hemophagocytic Lymphohistiocytosis with Extensive Involvement of the Brain: PM 20788 -- Chapter-52: Langerhans Cell Histiocytosis Presenting as an Anterior Mediastinal Mass: PM 21476. |
Chapter-53: Macrophage Activation Syndrome-A Fatal Complication of Systemic Onset Juvenile Idiopathic Arthritis: PM 26202 -- Chapter-54: Epstein-Barr Virus-associated Secondary Hemophagocytic Lymphohistiocytosis-A Rare Complication: PM 21703 -- Section-9: Primary Immunodeficiency Pediatric Cases -- Chapter-55: Disseminated Bacillus Calmette-Guérin Infection in a Case of Severe Combined Immunodeficiency: PM 22931 -- Chapter-56: Chronic Granulomatous Disease of Childhood: PM 24170 -- Chapter-57: Disseminated Nonreactive Tuberculosis, PCR-Proven Dual Positivity for Mycobacterium Tuberculosis and Abscessus ? Mendelian Susceptibility to Mycobacterial Disease: PM 25174 -- Section-10: Infantile Nephrotic Syndrome -- Chapter-58: Congenital Nephrotic Syndrome of the Finnish Type: PM 23777 -- Chapter-59: Infantile Nephrotic Syndrome-Diffuse Mesangial Sclerosis in a 10-Month-Old Male Child: PM 26462 -- Section-11: Infections Pediatric Cases -- Chapter-60: Disseminated Congenital Cytomegalovirus Infection with Islet Cell Hyperplasia as the Cause of Persistent Hypoglycemia in a Neonate: PM 23822 -- Chapter-61: Congenital Tuberculosis: An Underdiagnosed Entity: PM 24753 -- Chapter-62: Disseminated Cryptococcomas Mimicking Disseminated Malignancy, with Hepatic Dysfunction as the Initial Manifestation, in an Immunocompetent Child: PM 25744 -- Chapter-63: Catastrophic Posterior Circulation Tubercular Arteritis with Infarcts and Cortical Venous Thrombosis-A Rare Co-existence: PM 26344 -- Chapter-64: Child with Disseminated Miliary Tuberculosis, Tubercular Meningitis |
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with Extensive Arteritis, Infarction and Ischemic Hepatitis: PM 25901 -- Chapter-65: Disseminated Cryptococcal Infection in an HIV-positive Child: PM 23563 -- Section-12: Cardiovascular System Pediatric Case -- Chapter-66: Transposition of Great Arteries: PM 24027. |
Section-13: Hematological Disorders Pediatric Cases. |
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