Publisher: Springer-Verlag (Total: 2626 journals)

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Showing 1 - 200 of 2626 Journals sorted by number of followers
Information Retrieval     Hybrid Journal   (Followers: 797, SJR: 0.352, CiteScore: 2)
Intl. J. on Digital Libraries     Hybrid Journal   (Followers: 784, SJR: 0.441, CiteScore: 2)
Trends in Organized Crime     Hybrid Journal   (Followers: 541, SJR: 0.26, CiteScore: 1)
Crime, Law and Social Change     Hybrid Journal   (Followers: 504, SJR: 0.357, CiteScore: 1)
J. of Police and Criminal Psychology     Hybrid Journal   (Followers: 432, SJR: 0.35, CiteScore: 1)
Diabetologia     Hybrid Journal   (Followers: 346, SJR: 3.228, CiteScore: 5)
Innovative Higher Education     Hybrid Journal   (Followers: 322, SJR: 0.586, CiteScore: 1)
Natural Hazards     Hybrid Journal   (Followers: 305, SJR: 0.767, CiteScore: 2)
Gyroscopy and Navigation     Hybrid Journal   (Followers: 252, SJR: 0.292, CiteScore: 1)
Biodiversity and Conservation     Open Access   (Followers: 244, SJR: 1.243, CiteScore: 3)
Dysphagia     Hybrid Journal   (Followers: 204, SJR: 0.99, CiteScore: 2)
Higher Education     Hybrid Journal   (Followers: 201, SJR: 1.782, CiteScore: 2)
Pharmaceutical Research     Hybrid Journal   (Followers: 188, SJR: 1.077, CiteScore: 3)
Archives and Museum Informatics     Hybrid Journal   (Followers: 184, SJR: 0.101, CiteScore: 0)
European J. of Information Systems     Hybrid Journal   (Followers: 173, SJR: 1.628, CiteScore: 4)
Crime Prevention and Community Safety     Hybrid Journal   (Followers: 165, SJR: 0.268, CiteScore: 1)
Space Science Reviews     Hybrid Journal   (Followers: 95, SJR: 3.262, CiteScore: 7)
J. of Autism and Developmental Disorders     Hybrid Journal   (Followers: 91, SJR: 1.81, CiteScore: 4)
Intensive Care Medicine     Hybrid Journal   (Followers: 77, SJR: 3.293, CiteScore: 4)
Ethics and Information Technology     Hybrid Journal   (Followers: 72, SJR: 0.512, CiteScore: 2)
Education and Information Technologies     Hybrid Journal   (Followers: 71, SJR: 0.403, CiteScore: 1)
Archival Science     Hybrid Journal   (Followers: 70, SJR: 0.745, CiteScore: 2)
Applied Microbiology and Biotechnology     Hybrid Journal   (Followers: 70, SJR: 1.182, CiteScore: 4)
Landscape Ecology     Hybrid Journal   (Followers: 66, SJR: 1.858, CiteScore: 4)
European J. of Law and Economics     Hybrid Journal   (Followers: 65, SJR: 0.375, CiteScore: 1)
J. of Archaeological Method and Theory     Hybrid Journal   (Followers: 64, SJR: 2.014, CiteScore: 3)
Marine Biology     Hybrid Journal   (Followers: 63, SJR: 1.085, CiteScore: 2)
Climatic Change     Open Access   (Followers: 62, SJR: 2.035, CiteScore: 4)
J. of Information Technology     Hybrid Journal   (Followers: 61, SJR: 1.752, CiteScore: 4)
Machine Learning     Hybrid Journal   (Followers: 60, SJR: 0.695, CiteScore: 3)
Research in Higher Education     Hybrid Journal   (Followers: 60, SJR: 1.702, CiteScore: 2)
Educational Technology Research and Development     Partially Free   (Followers: 60)
J. of Experimental Criminology     Hybrid Journal   (Followers: 59, SJR: 2.639, CiteScore: 4)
Cambridge journal of evidence-based policing     Hybrid Journal   (Followers: 58)
Oecologia     Hybrid Journal   (Followers: 58, SJR: 1.695, CiteScore: 3)
J. of the Indian Society of Remote Sensing     Hybrid Journal   (Followers: 57, SJR: 0.337, CiteScore: 1)
Advances in Data Analysis and Classification     Hybrid Journal   (Followers: 57, SJR: 1.09, CiteScore: 1)
J. of Business Ethics     Hybrid Journal   (Followers: 56, SJR: 1.276, CiteScore: 3)
Intl. J. for Philosophy of Religion     Hybrid Journal   (Followers: 56, SJR: 0.354, CiteScore: 0)
Experimental Techniques     Hybrid Journal   (Followers: 54, SJR: 0.296, CiteScore: 1)
Earth, Moon, and Planets     Hybrid Journal   (Followers: 54, SJR: 0.63, CiteScore: 1)
Applied Composite Materials     Hybrid Journal   (Followers: 53, SJR: 0.58, CiteScore: 2)
J. of Archaeological Research     Hybrid Journal   (Followers: 50, SJR: 2.159, CiteScore: 4)
Advances in Polymer Science     Hybrid Journal   (Followers: 50, SJR: 1.04, CiteScore: 3)
Memory & Cognition     Hybrid Journal   (Followers: 49, SJR: 1.379, CiteScore: 2)
J. of Earth System Science     Open Access   (Followers: 49, SJR: 0.366, CiteScore: 1)
Canadian J. of Anesthesia/J. canadien d'anesthésie     Hybrid Journal   (Followers: 48, SJR: 0.908, CiteScore: 2)
European J. of Applied Physiology     Hybrid Journal   (Followers: 48, SJR: 1.186, CiteScore: 2)
J. of Astrophysics and Astronomy     Open Access   (Followers: 48, SJR: 0.266, CiteScore: 0)
Environmental Management     Open Access   (Followers: 48, SJR: 0.921, CiteScore: 2)
Contemporary Political Theory     Hybrid Journal   (Followers: 48, SJR: 0.331, CiteScore: 0)
Intl. J. of Historical Archaeology     Hybrid Journal   (Followers: 47, SJR: 0.427, CiteScore: 1)
J. of Intl. Business Studies     Hybrid Journal   (Followers: 45, SJR: 5.198, CiteScore: 7)
Demography     Hybrid Journal   (Followers: 44, SJR: 2.345, CiteScore: 3)
Astrophysics and Space Science     Hybrid Journal   (Followers: 44, SJR: 0.616, CiteScore: 1)
Water Resources Management     Open Access   (Followers: 43, SJR: 1.185, CiteScore: 3)
Bulletin of Materials Science     Open Access   (Followers: 43, SJR: 0.31, CiteScore: 1)
Comparative European Politics     Hybrid Journal   (Followers: 43, SJR: 1.24, CiteScore: 2)
IMF Economic Review     Hybrid Journal   (Followers: 42, SJR: 3.287, CiteScore: 2)
Qualitative Sociology     Hybrid Journal   (Followers: 42, SJR: 0.984, CiteScore: 1)
Advances in Atmospheric Sciences     Hybrid Journal   (Followers: 42, SJR: 0.956, CiteScore: 2)
Climate Dynamics     Hybrid Journal   (Followers: 42, SJR: 2.445, CiteScore: 4)
Applied Biochemistry and Biotechnology     Hybrid Journal   (Followers: 42, SJR: 0.571, CiteScore: 2)
J. of Family Violence     Hybrid Journal   (Followers: 41, SJR: 0.679, CiteScore: 1)
Metallurgical and Materials Transactions A     Hybrid Journal   (Followers: 41, SJR: 1.093, CiteScore: 2)
European Political Science     Hybrid Journal   (Followers: 41, SJR: 0.25, CiteScore: 0)
Foundations of Physics     Hybrid Journal   (Followers: 41, SJR: 0.454, CiteScore: 1)
Educational Psychology Review     Hybrid Journal   (Followers: 41, SJR: 2.204, CiteScore: 4)
Scientometrics     Hybrid Journal   (Followers: 40, SJR: 1.125, CiteScore: 3)
Economia Politica     Hybrid Journal   (Followers: 40, SJR: 0.277, CiteScore: 1)
Mindfulness     Hybrid Journal   (Followers: 40, SJR: 1.132, CiteScore: 3)
Data Mining and Knowledge Discovery     Hybrid Journal   (Followers: 40, SJR: 0.864, CiteScore: 4)
Intl. J. of Earth Sciences     Hybrid Journal   (Followers: 40, SJR: 1.125, CiteScore: 2)
European J. of Nutrition     Hybrid Journal   (Followers: 39, SJR: 1.408, CiteScore: 3)
Experimental Astronomy     Hybrid Journal   (Followers: 38, SJR: 0.908, CiteScore: 2)
J. of World Prehistory     Hybrid Journal   (Followers: 38, SJR: 2.022, CiteScore: 3)
European J. of Health Economics     Hybrid Journal   (Followers: 38, SJR: 1.153, CiteScore: 2)
Environmental Monitoring and Assessment     Hybrid Journal   (Followers: 38, SJR: 0.589, CiteScore: 2)
Environment, Development and Sustainability     Hybrid Journal   (Followers: 38, SJR: 0.392, CiteScore: 1)
Aquatic Ecology     Hybrid Journal   (Followers: 38, SJR: 0.656, CiteScore: 2)
Behavioral Ecology and Sociobiology     Hybrid Journal   (Followers: 38, SJR: 1.323, CiteScore: 2)
Metal Science and Heat Treatment     Hybrid Journal   (Followers: 37, SJR: 0.279, CiteScore: 0)
Annals of Finance     Hybrid Journal   (Followers: 37, SJR: 0.579, CiteScore: 1)
European J. of Clinical Microbiology & Infectious Diseases     Hybrid Journal   (Followers: 37, SJR: 1.312, CiteScore: 3)
Advances in Health Sciences Education     Hybrid Journal   (Followers: 36, SJR: 1.64, CiteScore: 2)
Intl. Politics     Hybrid Journal   (Followers: 35, SJR: 0.728, CiteScore: 1)
European J. of Epidemiology     Hybrid Journal   (Followers: 35, SJR: 3.228, CiteScore: 6)
J. of Thrombosis and Thrombolysis     Hybrid Journal   (Followers: 35, SJR: 0.991, CiteScore: 2)
JOM J. of the Minerals, Metals and Materials Society     Hybrid Journal   (Followers: 35, SJR: 1.054, CiteScore: 2)
Forensic Science, Medicine, and Pathology     Hybrid Journal   (Followers: 35, SJR: 0.695, CiteScore: 1)
Solar Physics     Hybrid Journal   (Followers: 34, SJR: 1.517, CiteScore: 3)
Reviews in Fish Biology and Fisheries     Open Access   (Followers: 34, SJR: 1.8, CiteScore: 4)
Accreditation and Quality Assurance: J. for Quality, Comparability and Reliability in Chemical Measurement     Hybrid Journal   (Followers: 34, SJR: 0.316, CiteScore: 1)
Biotechnology Letters     Hybrid Journal   (Followers: 34, SJR: 0.621, CiteScore: 2)
Italian Economic J.     Hybrid Journal   (Followers: 33, SJR: 0.181, CiteScore: 0)
J. of Economic Growth     Hybrid Journal   (Followers: 33, SJR: 5.529, CiteScore: 5)
Political Behavior     Hybrid Journal   (Followers: 33, SJR: 2.708, CiteScore: 2)
Ecosystems     Hybrid Journal   (Followers: 33, SJR: 2.081, CiteScore: 4)
Child and Adolescent Social Work J.     Hybrid Journal   (Followers: 33, SJR: 0.444, CiteScore: 1)
J. of the American Society for Mass Spectrometry     Hybrid Journal   (Followers: 32, SJR: 1.058, CiteScore: 3)
Metallurgical and Materials Transactions B     Hybrid Journal   (Followers: 32)
J. of Risk and Uncertainty     Hybrid Journal   (Followers: 32, SJR: 1.471, CiteScore: 2)
AAPS J.     Hybrid Journal   (Followers: 32, SJR: 1.118, CiteScore: 4)
Academic Psychiatry     Full-text available via subscription   (Followers: 32, SJR: 0.53, CiteScore: 1)
J. of Quantitative Criminology     Hybrid Journal   (Followers: 32, SJR: 3.562, CiteScore: 4)
American J. of Community Psychology     Hybrid Journal   (Followers: 32, SJR: 1.329, CiteScore: 2)
Analytical and Bioanalytical Chemistry     Hybrid Journal   (Followers: 32, SJR: 0.978, CiteScore: 3)
Der Onkologe     Hybrid Journal   (Followers: 32, SJR: 0.119, CiteScore: 0)
Australian Educational Researcher     Hybrid Journal   (Followers: 31, SJR: 0.675, CiteScore: 1)
Higher Education Policy     Hybrid Journal   (Followers: 31, SJR: 0.652, CiteScore: 1)
Motivation and Emotion     Hybrid Journal   (Followers: 31, SJR: 1.136, CiteScore: 2)
J. of Population Economics     Hybrid Journal   (Followers: 31, SJR: 1.574, CiteScore: 2)
Plant Ecology     Hybrid Journal   (Followers: 31, SJR: 0.914, CiteScore: 2)
Transportation     Hybrid Journal   (Followers: 30, SJR: 1.911, CiteScore: 3)
GPS Solutions     Hybrid Journal   (Followers: 30, SJR: 1.674, CiteScore: 5)
Clinical Social Work J.     Hybrid Journal   (Followers: 30, SJR: 0.498, CiteScore: 1)
Current Diabetes Reports     Hybrid Journal   (Followers: 30, SJR: 1.618, CiteScore: 4)
Boundary-Layer Meteorology     Hybrid Journal   (Followers: 30, SJR: 1.262, CiteScore: 2)
Resonance     Hybrid Journal   (Followers: 29, SJR: 0.15, CiteScore: 0)
CEAS Aeronautical J.     Hybrid Journal   (Followers: 29, SJR: 0.248, CiteScore: 1)
Information Systems Frontiers     Hybrid Journal   (Followers: 29, SJR: 0.821, CiteScore: 4)
ADHD Attention Deficit and Hyperactivity Disorders     Hybrid Journal   (Followers: 28, SJR: 0.72, CiteScore: 2)
Environmental Earth Sciences     Hybrid Journal   (Followers: 28, SJR: 0.552, CiteScore: 2)
IIC - Intl. Review of Intellectual Property and Competition Law     Hybrid Journal   (Followers: 28, SJR: 0.28, CiteScore: 0)
Knee Surgery, Sports Traumatology, Arthroscopy     Hybrid Journal   (Followers: 28, SJR: 1.845, CiteScore: 3)
J. of Nutrition, Health and Aging     Hybrid Journal   (Followers: 28, SJR: 1.249, CiteScore: 3)
J. of Pharmacokinetics and Pharmacodynamics     Hybrid Journal   (Followers: 28, SJR: 0.784, CiteScore: 2)
Flow, Turbulence and Combustion     Hybrid Journal   (Followers: 28, SJR: 0.934, CiteScore: 2)
European Business Organization Law Review (EBOR)     Full-text available via subscription   (Followers: 28, SJR: 0.409, CiteScore: 1)
Educational Assessment, Evaluation and Accountability     Hybrid Journal   (Followers: 28, SJR: 0.599, CiteScore: 1)
J. of Happiness Studies     Hybrid Journal   (Followers: 27, SJR: 0.827, CiteScore: 2)
Landslides     Hybrid Journal   (Followers: 27, SJR: 1.802, CiteScore: 4)
Breast Cancer     Hybrid Journal   (Followers: 27, SJR: 0.653, CiteScore: 2)
J. of Financial Services Research     Hybrid Journal   (Followers: 27, SJR: 1.31, CiteScore: 1)
Microsystem Technologies     Hybrid Journal   (Followers: 27, SJR: 0.346, CiteScore: 1)
Review of Accounting Studies     Hybrid Journal   (Followers: 27, SJR: 2.757, CiteScore: 2)
J. of Banking Regulation     Hybrid Journal   (Followers: 27, SJR: 0.22, CiteScore: 0)
Astrophysics     Hybrid Journal   (Followers: 27, SJR: 0.225, CiteScore: 0)
Applied Physics B: Lasers and Optics     Hybrid Journal   (Followers: 27, SJR: 0.74, CiteScore: 2)
Breast Cancer Research and Treatment     Hybrid Journal   (Followers: 27, SJR: 2.066, CiteScore: 4)
Intl. J. of Information Security     Hybrid Journal   (Followers: 27, SJR: 0.555, CiteScore: 3)
J. of Ornithology     Hybrid Journal   (Followers: 26)
The European Physical J. D - Atomic, Molecular, Optical and Plasma Physics     Hybrid Journal   (Followers: 26, SJR: 0.387, CiteScore: 1)
J. of Computational Neuroscience     Hybrid Journal   (Followers: 26, SJR: 0.888, CiteScore: 2)
Law and Philosophy     Hybrid Journal   (Followers: 26, SJR: 0.471, CiteScore: 1)
Intl. J. of Sexuality and Gender Studies     Hybrid Journal   (Followers: 26)
Human Rights Review     Hybrid Journal   (Followers: 26, SJR: 0.175, CiteScore: 1)
Aquaculture Intl.     Hybrid Journal   (Followers: 26, SJR: 0.591, CiteScore: 2)
J. of Analytical Chemistry     Hybrid Journal   (Followers: 26, SJR: 0.265, CiteScore: 1)
Intl. J. of Science and Mathematics Education     Hybrid Journal   (Followers: 25, SJR: 0.737, CiteScore: 1)
Human Ecology     Open Access   (Followers: 25, SJR: 0.752, CiteScore: 2)
Public Choice     Hybrid Journal   (Followers: 25, SJR: 0.991, CiteScore: 1)
Meteorology and Atmospheric Physics     Hybrid Journal   (Followers: 25, SJR: 0.543, CiteScore: 1)
Continental Philosophy Review     Partially Free   (Followers: 25, SJR: 0.145, CiteScore: 0)
Acta Mechanica     Hybrid Journal   (Followers: 25, SJR: 1.04, CiteScore: 2)
Evolutionary Biology     Hybrid Journal   (Followers: 25, SJR: 0.81, CiteScore: 2)
Artificial Intelligence Review     Hybrid Journal   (Followers: 25, SJR: 0.833, CiteScore: 4)
Archaeological and Anthropological Sciences     Hybrid Journal   (Followers: 24, SJR: 1.052, CiteScore: 2)
J. of Public Health Policy     Partially Free   (Followers: 24, SJR: 0.715, CiteScore: 1)
Water, Air, & Soil Pollution     Open Access   (Followers: 24, SJR: 0.589, CiteScore: 2)
Cancer Immunology, Immunotherapy     Hybrid Journal   (Followers: 24, SJR: 1.899, CiteScore: 5)
Canadian J. of Public Health     Hybrid Journal   (Followers: 24, SJR: 0.609, CiteScore: 1)
Eating and Weight Disorders - Studies on Anorexia, Bulimia and Obesity     Hybrid Journal   (Followers: 24, SJR: 0.572, CiteScore: 2)
Russian Aeronautics (Iz VUZ)     Hybrid Journal   (Followers: 24, SJR: 0.136, CiteScore: 0)
Wetlands     Hybrid Journal   (Followers: 24, SJR: 0.755, CiteScore: 2)
Critical Criminology     Hybrid Journal   (Followers: 24, SJR: 0.34, CiteScore: 1)
World J. of Surgery     Hybrid Journal   (Followers: 24, SJR: 1.359, CiteScore: 2)
Fluid Dynamics     Hybrid Journal   (Followers: 24, SJR: 0.345, CiteScore: 1)
Experimental Economics     Hybrid Journal   (Followers: 24, SJR: 2.276, CiteScore: 2)
Mechanics of Composite Materials     Hybrid Journal   (Followers: 24, SJR: 0.313, CiteScore: 1)
Biological Invasions     Hybrid Journal   (Followers: 24, SJR: 1.514, CiteScore: 3)
Heat and Mass Transfer     Hybrid Journal   (Followers: 24, SJR: 0.448, CiteScore: 1)
Environmental and Resource Economics     Hybrid Journal   (Followers: 24, SJR: 1.186, CiteScore: 2)
J. of Thermal Analysis and Calorimetry     Hybrid Journal   (Followers: 24, SJR: 0.587, CiteScore: 2)
J. of Chemical Sciences     Partially Free   (Followers: 24, SJR: 0.352, CiteScore: 1)
Intl. J. of Mental Health and Addiction     Hybrid Journal   (Followers: 24, SJR: 0.49, CiteScore: 1)
J. of Public Health     Hybrid Journal   (Followers: 23, SJR: 0.265, CiteScore: 1)
Research in Science Education     Hybrid Journal   (Followers: 23, SJR: 1.019, CiteScore: 2)
Behavior Research Methods     Hybrid Journal   (Followers: 23, SJR: 2.099, CiteScore: 4)
Science & Education     Hybrid Journal   (Followers: 23)
Electrical Engineering     Hybrid Journal   (Followers: 23, SJR: 0.323, CiteScore: 1)
J. of the Academy of Marketing Science     Hybrid Journal   (Followers: 23, SJR: 4.614, CiteScore: 7)
Diabetes Therapy     Open Access   (Followers: 23, SJR: 1.094, CiteScore: 3)
Astronomy and Astrophysics Review     Hybrid Journal   (Followers: 23, SJR: 3.385, CiteScore: 5)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 23, SJR: 0.812, CiteScore: 1)
Erkenntnis     Hybrid Journal   (Followers: 23, SJR: 1.502, CiteScore: 1)
Current Microbiology     Hybrid Journal   (Followers: 23, SJR: 0.562, CiteScore: 1)
J. of Materials Science     Hybrid Journal   (Followers: 23, SJR: 0.807, CiteScore: 3)
Ethical Theory and Moral Practice     Hybrid Journal   (Followers: 23, SJR: 0.402, CiteScore: 1)
Animal Cognition     Hybrid Journal   (Followers: 23, SJR: 1.389, CiteScore: 3)
European Spine J.     Hybrid Journal   (Followers: 23, SJR: 1.535, CiteScore: 2)
Human Nature     Hybrid Journal   (Followers: 23, SJR: 1.092, CiteScore: 2)
Experimental Mechanics     Hybrid Journal   (Followers: 23, SJR: 0.947, CiteScore: 2)
J. of Child and Family Studies     Hybrid Journal   (Followers: 22, SJR: 0.784, CiteScore: 2)
J. of General Internal Medicine     Hybrid Journal   (Followers: 22, SJR: 1.612, CiteScore: 2)
Evolutionary Ecology     Hybrid Journal   (Followers: 22, SJR: 1.117, CiteScore: 2)
Astronomy Letters     Hybrid Journal   (Followers: 22, SJR: 0.452, CiteScore: 1)
Abdominal Radiology     Hybrid Journal   (Followers: 22, SJR: 0.866, CiteScore: 2)
Chromatographia     Hybrid Journal   (Followers: 22, SJR: 0.514, CiteScore: 1)
Early Childhood Education J.     Hybrid Journal   (Followers: 22, SJR: 0.548, CiteScore: 1)

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Similar Journals
Journal Cover
Advances in Computational Mathematics
Journal Prestige (SJR): 0.812
Citation Impact (citeScore): 1
Number of Followers: 23  
  Hybrid Journal Hybrid journal (It can contain Open Access articles)
ISSN (Print) 1572-9044 - ISSN (Online) 1019-7168
Published by Springer-Verlag Homepage  [2626 journals]
  • Optimal H 1 spatial convergence of a fully discrete finite element method
           for the time-fractional Allen-Cahn equation
    • Abstract: Abstract A time-fractional Allen-Cahn problem is considered, where the spatial domain Ω is a bounded subset of \(\mathbb {R}^{d}\) for some d ∈{1,2,3}. New bounds on certain derivatives of the solution are derived. These are used in the analysis of a numerical method (L1 discretization of the temporal fractional derivative on a graded mesh, with a standard finite element discretization of the spatial diffusion term, and Newton linearization of the nonlinear driving term), showing that the computed solution achieves the optimal rate of convergence in the Sobolev H1(Ω) norm. (Previous papers considered only convergence in L2(Ω).) Numerical results confirm our theoretical findings.
      PubDate: 2020-07-11
  • Ambient residual penalty approximation of partial differential equations
           on embedded submanifolds
    • Abstract: Abstract In this paper, we present a novel approach to the approximate solution of elliptic partial differential equations on compact submanifolds of \(\mathbb {R}^{d}\) , particularly compact surfaces and the surface equation \({\Delta }_{\mathbb {M}} u - \lambda u=f\) . In the course of this, we reconsider differential operators on such submanifolds to deduce suitable penalty based functionals. These functionals are based on the residual of the equation in an integral representation, extended by a penalty on the first-order normal derivative. The general framework we develop is accompanied by error analysis and exemplified by numerical examples employing tensor product B-splines.
      PubDate: 2020-07-09
  • Local superconvergence of post-processed high-order finite volume element
    • Abstract: Abstract Local superconvergence properties of the post-processed finite volume element method (FVEM) are studied. Some interpolation/extrapolation post-processing techniques are applied to a class of k th-order (k ≥ 2) FVE solutions for elliptic equations. A local analysis tool for the finite volume method is developed to analyze the proposed method, and some superconvergence results are established. The theoretical findings are supported by several numerical experiments.
      PubDate: 2020-07-06
  • Error analysis of fully discrete mixed finite element data assimilation
           schemes for the Navier-Stokes equations
    • Abstract: Abstract In this paper we consider fully discrete approximations with inf-sup stable mixed finite element methods in space to approximate the Navier-Stokes equations. A continuous downscaling data assimilation algorithm is analyzed in which measurements on a coarse scale are given represented by different types of interpolation operators. For the time discretization an implicit Euler scheme, an implicit and a semi-implicit second-order backward differentiation formula are considered. Uniform-in-time error estimates are obtained for all the methods for the error between the fully discrete approximation and the reference solution corresponding to the measurements. For the spatial discretization we consider both the Galerkin method and the Galerkin method with grad-div stabilization. For the last scheme error bounds in which the constants do not depend on inverse powers of the viscosity are obtained.
      PubDate: 2020-07-06
  • HT-AWGM: a hierarchical Tucker–adaptive wavelet Galerkin method for
           high-dimensional elliptic problems
    • Abstract: Abstract This paper is concerned with the construction, analysis, and realization of a numerical method to approximate the solution of high-dimensional elliptic partial differential equations. We propose a new combination of an adaptive wavelet Galerkin method (AWGM) and the well-known hierarchical tensor (HT) format. The arising HT-AWGM is adaptive both in the wavelet representation of the low-dimensional factors and in the tensor rank of the HT representation. The point of departure is an adaptive wavelet method for the HT format using approximate Richardson iterations and an AWGM for elliptic problems. HT-AWGM performs a sequence of Galerkin solves based upon a truncated preconditioned conjugate gradient (PCG) algorithm in combination with a tensor-based preconditioner. Our analysis starts by showing convergence of the truncated conjugate gradient method. The next step is to add routines realizing the adaptive refinement. The resulting HT-AWGM is analyzed concerning convergence and complexity. We show that the performance of the scheme asymptotically depends only on the desired tolerance with convergence rates depending on the Besov regularity of low-dimensional quantities and the low-rank tensor structure of the solution. The complexity in the ranks is algebraic with powers of four stemming from the complexity of the tensor truncation. Numerical experiments show the quantitative performance.
      PubDate: 2020-07-06
  • Accelerated hybrid methods for solving pseudomonotone equilibrium problems
    • Abstract: Abstract In this paper, we introduce some new accelerated hybrid algorithms for solving a pseudomonotone equilibrium problem with a Lipschitz-type condition in a Hilbert space. The algorithms are constructed around the extragradient method, the inertial technique, the hybrid (or outer approximation) method, and the shrinking projection method. The algorithms are designed to work either with or without the prior knowledge of the Lipschitz-type constants of bifunction. Theorems of strong convergence are established under mild conditions. The results in this paper generalize, extend, and improve some known results in the field. Finally, several of numerical experiments are performed to support the obtained theoretical results.
      PubDate: 2020-06-23
  • An overlapping domain decomposition framework without dual formulation for
           variational imaging problems
    • Abstract: Abstract In this paper, we propose a novel overlapping domain decomposition method that can be applied to various problems in variational imaging such as total variation minimization. Most of recent domain decomposition methods for total variation minimization adopt the Fenchel–Rockafellar duality, whereas the proposed method is based on the primal formulation. Thus, the proposed method can be applied not only to total variation minimization but also to those with complex dual problems such as higher order models. In the proposed method, an equivalent formulation of the model problem with parallel structure is constructed using a custom overlapping domain decomposition scheme with the notion of essential domains. As a solver for the constructed formulation, we propose a decoupled augmented Lagrangian method for untying the coupling of adjacent subdomains. Convergence analysis of the decoupled augmented Lagrangian method is provided. We present implementation details and numerical examples for various model problems including total variation minimizations and higher order models.
      PubDate: 2020-06-22
  • An hp -version of the C 0 -continuous Petrov-Galerkin time stepping method
           for nonlinear second-order initial value problems
    • Abstract: Abstract We present an hp-version of the C0-continuous Petrov-Galerkin time stepping method for nonlinear second-order initial value problems. We derive a priori error bound in the H1-norm that is fully explicit with respect to the local time steps and the local approximation orders. Moreover, we prove that the hp-version of the C0-continuous Petrov-Galerkin time stepping method based on geometrically refined time steps and on linearly increasing approximation orders yields exponential rates of convergence for solutions with start-up singularities. Numerical examples confirm the theoretical results.
      PubDate: 2020-06-16
  • Assessment of end-to-end and sequential data-driven learning for
           non-intrusive modeling of fluid flows
    • Abstract: Abstract In this work, we explore the advantages of end-to-end learning of multilayer maps offered by feedforward neural networks (FFNNs) for learning and predicting dynamics from transient flow data. While data-driven learning (and machine learning) in general depends on data quality and quantity relative to the underlying dynamics of the system, it is important for a given data-driven learning architecture to make the most of this available information. To this end, we focus on data-driven problems where there is a need to predict over reasonable time into the future with limited data availability. Such function time series prediction of full and reduced states is different from many applications of machine learning such as pattern recognition and parameter estimation that leverage large datasets. In this study, we interpret the suite of recently popular data-driven learning approaches that approximate the dynamics as Markov linear model in higher dimensional feature space as a multilayer architecture similar to neural networks. However, there exist a couple of key differences: (i) Markov linear models employ layer-wise learning in the sense of linear regression whereas neural networks represent end-to-end learning in the sense of nonlinear regression. We show through examples of data-driven modeling of canonical fluid flows that FFNN-like methods owe their success to leveraging the extended learning parameter space available in end-to-end learning without overfitting to the data. In this sense, the Markov linear models behave as shallow neural networks. (ii) The second major difference is that while the FFNN is by design a forward architecture, the class of Markov linear methods that approximate the Koopman operator is bi-directional, i.e., they incorporate both forward and backward maps in order to learn a linear map that can provide insight into spectral characteristics. In this study, we assess both reconstruction and predictive performance of temporally evolving dynamic using limited data for canonical nonlinear fluid flows including transient cylinder wake flow and the instability-driven dynamics of buoyant Boussinesq flow.
      PubDate: 2020-06-16
  • Determination of temperature distribution and thermal flux for
           two-dimensional inhomogeneous sideways heat equations
    • Abstract: Abstract We investigate an inverse and ill-posed problem for the two-dimensional inhomogeneous heat equation in the presence of a general source term. The goal here consists of recovering not only the temperature distribution but also the thermal flux from the measure data. With the appearance of the general source term, this model gets far worse than its homogeneous counterpart. Based on an analysis of the instability caused in the solution, we propose a kernel regularization scheme to stabilize the investigated problem. The Hölder-type convergence estimates are achieved under some appropriate a priori assumptions. We further numerically demonstrate the theoretical results by proposing a robust algorithm based on the 2-D fast Fourier transform. The numerical outputs exemplify the feasibility and efficiency of the proposed method.
      PubDate: 2020-06-16
  • Analysis of multivariate Gegenbauer approximation in the hypercube
    • Abstract: Abstract In this paper, we are concerned with multivariate Gegenbauer approximation of functions defined in the d-dimensional hypercube. Two new and sharper bounds for the coefficients of multivariate Gegenbauer expansion of analytic functions are presented based on two different extensions of the Bernstein ellipse. We then establish an explicit error bound for the multivariate Gegenbauer approximation associated with an ℓq ball index set in the uniform norm. We also consider the multivariate approximation of functions with finite regularity and derive the associated error bound on the full grid in the uniform norm. As an application, we extend our arguments to obtain some new tight bounds for the coefficients of tensorized Legendre expansions in the context of polynomial approximation of parametrized PDEs.
      PubDate: 2020-06-09
  • Simple non-extensive sparsification of the hierarchical matrices
    • Abstract: Abstract In this paper, we consider the matrices approximated in \({\mathscr{H}}^{2}\) format. The direct solution, as well as the preconditioning of systems with such matrices, is a challenging problem. We propose a non-extensive sparse factorization of the \({\mathscr{H}}^{2}\) matrix that allows to substitute direct \({\mathscr{H}}^{2}\) solution with the solution of the system with an equivalent sparse matrix of the same size. The sparse factorization is constructed of parameters of the \({\mathscr{H}}^{2}\) matrix. In the numerical experiments, we show the consistency of this approach in comparison with the other approximate block low-rank hierarchical solvers, such as HODLR [3], H2Lib [5], and IFMM [11].
      PubDate: 2020-06-08
  • Generalized Born-Jordan distributions and applications
    • Abstract: Abstract One of the most popular time-frequency representations is certainly the Wigner distribution. Its quadratic nature is, however, at the origin of unwanted interferences or artefacts. The desire to suppress these artefacts is the reason why engineers, mathematicians and physicists have been looking for related time-frequency distributions, many of them being members of the Cohen class. Among these, the Born-Jordan distribution has recently attracted the attention of many authors, since the so-called ghost frequencies are grandly damped, and the noise is, in general, reduced; it also seems to play a key role in quantum mechanics. The central insight relies on the kernel of such a distribution, which contains the sinus cardinalis sinc, the Fourier transform of the first B-spline B1. The idea is to replace the function B1 with the spline or order n, denoted by Bn, yielding the function (sinc)n when Fourier transformed, whose speed of decay at infinity increases with n. The related Cohen kernel is given by \({\Theta }^{n}(z_{1},z_{2})=\text {sinc}^{n}(z_{1}\cdot z_{2})\), \(n\in \mathbb {N}\), and the corresponding time-frequency distribution is called generalized Born-Jordan distribution of ordern. We show that this new representation has a great potential to damp unwanted interference effects and this damping effect increases with n. Our proofs of these properties require an interdisciplinary approach, using tools from both microlocal and time-frequency analysis. As a by-product, a new quantization rule and a related pseudo-differential calculus are investigated.
      PubDate: 2020-06-06
  • Adaptive hybridizable discontinuous Galerkin methods for nonstationary
           convection diffusion problems
    • Abstract: Abstract This work is concerned with adaptive hybridizable discontinuous Galerkin methods of nonstationary convection diffusion problems. We address first the spatially semidiscrete case and then move to the fully discrete scheme by introducing a backward Euler discretization in time. More specifically, the computable a posteriori error estimator for the time-dependent problem is obtained by using the idea of elliptic reconstruction and conforming-nonconforming decomposition. In view of the method that has been employed in the time-dependent problem, we also obtain a computable a posteriori error estimator for the fully discrete scheme. Finally, two examples show the performance of the obtained a posteriori error estimators.
      PubDate: 2020-06-04
  • Multigrid preconditioners for anisotropic space-fractional diffusion
    • Abstract: Abstract We focus on a two-dimensional time-space diffusion equation with fractional derivatives in space. The use of Crank-Nicolson in time and finite differences in space leads to dense Toeplitz-like linear systems. Multigrid strategies that exploit such structure are particularly effective when the fractional orders are both close to 2. We seek to investigate how structure-based multigrid approaches can be efficiently extended to the case where only one of the two fractional orders is close to 2, i.e., when the fractional equation shows an intrinsic anisotropy. Precisely, we design a multigrid (block-banded–banded-block) preconditioner whose grid transfer operator is obtained with a semi-coarsening technique and that has relaxed Jacobi as smoother. The Jacobi relaxation parameter is estimated by using an automatic symbol-based procedure. A further improvement in the robustness of the proposed multigrid method is attained using the V-cycle with semi-coarsening as smoother inside an outer full-coarsening. Several numerical results confirm that the resulting multigrid preconditioner is computationally effective and outperforms current state of the art techniques.
      PubDate: 2020-06-03
  • Non-iterative, unconditionally energy stable and large time-stepping
           method for the Cahn-Hilliard phase-field model with Flory-Huggins-de
           Gennes free energy
    • Abstract: Abstract In this paper, we consider numerical approximations for solving the Cahn-Hilliard phase-field model with the Flory-Huggins-de Gennes free energy for homopolymer blends. We develop an efficient, second-order accurate, and unconditionally energy stable scheme that combines the SAV approach with the stabilization technique, in which the H1 norm is split from the total free energy and two extra linear stabilization terms are added to enhance the stability and keeping the required accuracy while using large time steps. The scheme is very easy to implement and non-iterative where one only needs to solve two decoupled fourth-order biharmonic equations with constant coefficients at each time step. We further prove the unconditional energy stability of the scheme rigorously. Through the comparisons with some other prevalent schemes like the non-stabilized-SAV and MSAV schemes for some benchmark numerical examples in 2D and 3D, we demonstrate the stability and the accuracy of the developed scheme numerically.
      PubDate: 2020-05-26
  • Stability and error estimates of the SAV Fourier-spectral method for the
           phase field crystal equation
    • Abstract: Abstract We consider fully discrete schemes based on the scalar auxiliary variable (SAV) approach and stabilized SAV approach in time and the Fourier-spectral method in space for the phase field crystal (PFC) equation. Unconditionally, energy stability is established for both first- and second-order fully discrete schemes. In addition to the stability, we also provide a rigorous error estimate which shows that our second-order in time with Fourier-spectral method in space converges with order O(Δt2 + N−m), where Δt, N, and m are time step size, number of Fourier modes in each direction, and regularity index in space, respectively. We also present numerical experiments to verify our theoretical results and demonstrate the robustness and accuracy of the schemes.
      PubDate: 2020-05-26
  • Least-Squares Padé approximation of parametric and stochastic
           Helmholtz maps
    • Abstract: Abstract The present work deals with rational model order reduction methods based on the single-point Least-Square (LS) Padé approximation techniques introduced in Bonizzoni et al. (ESAIM Math. Model. Numer. Anal., 52(4), 1261–1284 2018, Math. Comput. 89, 1229–1257 2020). Algorithmical aspects concerning the construction of rational LS-Padé approximants are described. In particular, we show that the computation of the Padé denominator can be carried out efficiently by solving an eigenvalue-eigenvector problem involving a Gramian matrix. The LS-Padé techniques are employed to approximate the frequency response map associated with two parametric time-harmonic acoustic wave problems, namely a transmission-reflection problem and a scattering problem. In both cases, we establish the meromorphy of the frequency response map. The Helmholtz equation with stochastic wavenumber is also considered. In particular, for Lipschitz functionals of the solution and their corresponding probability measures, we establish weak convergence of the measure derived from the LS-Padé approximant to the true one. 2D numerical tests are performed, which confirm the effectiveness of the approximation methods.
      PubDate: 2020-05-08
  • A boundary-partition-based Voronoi diagram of d -dimensional balls:
           definition, properties, and applications
    • Abstract: Abstract In computational geometry, different ways of space partitioning have been developed, including the Voronoi diagram of points and the power diagram of balls. In this article, a generalized Voronoi partition of overlapping d-dimensional balls, called the boundary-partition-based diagram, is proposed. The definition, properties, and applications of this diagram are presented. Compared to the power diagram, this boundary-partition-based diagram is straightforward in the computation of the volume of overlapping balls, which avoids the possibly complicated construction of power cells. Furthermore, it can be applied to characterize singularities on molecular surfaces and to compute the medial axis that can potentially be used to classify molecular structures.
      PubDate: 2020-05-06
  • High-order cut finite elements for the elastic wave equation
    • Abstract: Abstract A high-order cut finite element method is formulated for solving the elastic wave equation. Both a single domain problem and an interface problem are treated. The boundary or interface is allowed to cut through the background mesh. To avoid problems with small cuts, stabilizing terms are added to the bilinear forms corresponding to the mass and stiffness matrix. The stabilizing terms penalize jumps in normal derivatives over the faces of the elements cut by the boundary/interface. This ensures a stable discretization independently of how the boundary/interface cuts the mesh. Nitsche’s method is used to enforce boundary and interface conditions, resulting in symmetric bilinear forms. As a result of the symmetry, an energy estimate can be made and optimal order a priori error estimates are derived for the single domain problem. Finally, numerical experiments in two dimensions are presented that verify the order of accuracy and stability with respect to small cuts.
      PubDate: 2020-05-06
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