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1. Critical point theory and its applications
by Zou, Wenming
2006, ISBN 9780387329659, xii, 318
Presents new methods and applications. 
Critical point theory (Mathematical analysis) | Mathematics | Global Analysis and Analysis on Manifolds | Ordinary Differential Equations | Functional Analysis | Partial Differential Equations
Book
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2. Full Text A higher-order phase-field model for brittle fracture: Formulation and analysis within the isogeometric analysis framework
by Borden, Michael J and Hughes, Thomas J.R and Landis, Chad M and Verhoosel, Clemens V
Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 05/2014, Volume 273, pp. 100 - 118
Phase-field models based on the variational formulation for brittle fracture have recently been gaining popularity. These models have proven capable of... 
Isogeometric analysis | Phase-field | Fracture | Higher-order models | APPROXIMATION | CAD | NUMERICAL EXPERIMENTS | NURBS | REFINEMENT | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | VARIATIONAL APPROACH | ENGINEERING, MULTIDISCIPLINARY | CRACK-GROWTH | DYNAMIC FRACTURE | FINITE-ELEMENT-METHOD | Fracture mechanics | Mathematical analysis | Brittle fracture | Mathematical models | Robustness | Regularity | Three dimensional | Convergence
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3. Full Text The ERA‐40 re‐analysis
by Uppala, S. M and KÅllberg, P. W and Simmons, A. J and Andrae, U and Bechtold, V. Da Costa and Fiorino, M and Gibson, J. K and Haseler, J and Hernandez, A and Kelly, G. A and Li, X and Onogi, K and Saarinen, S and Sokka, N and Allan, R. P and Andersson, E and Arpe, K and Balmaseda, M. A and Beljaars, A. C. M and Berg, L. Van De and Bidlot, J and Bormann, N and Caires, S and Chevallier, F and Dethof, A and Dragosavac, M and Fisher, M and Fuentes, M and Hagemann, S and Hólm, E and Hoskins, B. J and Isaksen, L and Janssen, P. A. E. M and Jenne, R and Mcnally, A. P and Mahfouf, J.‐F and Morcrette, J.‐J and Rayner, N. A and Saunders, R. W and Simon, P and Sterl, A and Trenberth, K. E and Untch, A and Vasiljevic, D and Viterbo, P and Woollen, J
Quarterly Journal of the Royal Meteorological Society, ISSN 0035-9009, 10/2005, Volume 131, Issue 612, pp. 2961 - 3012
ERA‐40 is a re‐analysis of meteorological observations from September 1957 to August 2002 produced by the European Centre for Medium‐Range Weather Forecasts... 
Numerical weather prediction | Observing system | Data assimilation | SIGNIFICANT WAVE HEIGHT | 4-DIMENSIONAL VARIATIONAL ASSIMILATION | SOUTHERN-HEMISPHERE | MODEL | ECMWF OPERATIONAL IMPLEMENTATION | observing system | SCHEME | IMPACT | numerical weather prediction | OCEAN WIND | WATER-VAPOR | data assimilation | METEOROLOGY & ATMOSPHERIC SCIENCES | CLIMATE
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4. Full Text MERRA: NASA's modern-era retrospective analysis for research and applications
by Rienecker, Michele M and Suarez, Max J and Gelaro, Ronald and Todling, Ricardo and Bacmeister, Julio and Liu, Emily and Bosilovich, Michael G and Schubert, Siegfried D and Takacs, Lawrence and Kim, Gi-Kong and Bloom, Stephen and Chen, Junye and Collins, Douglas and Conaty, Austin and Da Silva, Arlindo and Gu, Wei and Joiner, Joanna and Koster, Randal D and Lucchesi, Robert and Molod, Andrea and Owens, Tommy and Pawson, Steven and Pegion, Philip and Redder, Christopher R and Reichle, Rolf and Robertson, Franklin R and Ruddick, Albert G and Sienkiewicz, Meta and Woollen, Jack
Journal of Climate, ISSN 0894-8755, 07/2011, Volume 24, Issue 14, pp. 3624 - 3648
The Modern-Era Retrospective Analysis for Research and Applications (MERRA) was undertaken by NASA's Global Modeling and Assimilation Office with two primary... 
REANALYSIS PROJECT | PART I | GENERAL-CIRCULATION | DATA ASSIMILATION SYSTEM | TROPICAL STRATOSPHERE | TIME-SERIES | VARIATIONAL STATISTICAL-ANALYSIS | RAWINSONDE DATA | METEOROLOGY & ATMOSPHERIC SCIENCES | RECURSIVE FILTERS | NUMERICAL ASPECTS | Studies | Hydrologic cycle | Satellites | General circulation models | Atmospheric boundary layer | Stratosphere | Research | Remote sensing systems | Data mining | Meteorology
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5. Variational analysis
: critical extremals and sturmian extensions
by Morse, Marston, 1892-1977
1973, Pure and applied mathematics, 260
Maxima and minima | Calculus of variations
Book
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6. Full Text Bayesian canonical correlation analysis
by Klami, Arto and Virtanen, Seppo and Kaski, Samuel
Journal of Machine Learning Research, ISSN 1532-4435, 04/2013, Volume 14, Issue 1, pp. 965 - 1003
Canonical correlation analysis (CCA) is a classical method for seeking correlations between two multivariate data sets. During the last ten years, it has... 
Inter-battery factor analysis | Variational Bayesian approximation | Bayesian modeling | Canonical correlation analysis | Group-wise sparsity | MODELS | canonical correlation analysis | group-wise sparsity | variational Bayesian approximation | inter-battery factor analysis | DEPENDENCIES | AUTOMATION & CONTROL SYSTEMS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE
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7. Full Text Turbocharger flow computations with the Space–Time Isogeometric Analysis (ST-IGA)
by Takizawa, Kenji and Tezduyar, Tayfun E and Otoguro, Yuto and Terahara, Takuya and Kuraishi, Takashi and Hattori, Hitoshi
Computers and Fluids, ISSN 0045-7930, 01/2017, Volume 142, pp. 15 - 20
We focus on turbocharger computational flow analysis with a method that possesses higher accuracy in spatial and temporal representations. In the method we... 
ST Slip Interface method | IGA | Turbocharger | ST-VMS | Turbine | Space–Time Variational Multiscale method | ST-SI | Isogeometric Analysis | Higher-order functions | FLAPPING-WING AERODYNAMICS | COMPRESSIBLE FLOWS | INVISCID SUPERSONIC FLOWS | ST Slip Interface method ST-SI | FLUID-STRUCTURE INTERACTION | FINITE-ELEMENT COMPUTATION | PETROV-GALERKIN FORMULATIONS | Space-Time Variational Multiscale method ST-VMS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MECHANICS | Isogeometric Analysis IGA | LARGE-EDDY SIMULATION | INCOMPRESSIBLE FLOWS | V-SGS STABILIZATION | VARIATIONAL MULTISCALE METHOD | Mechanical engineering | Analysis | Turbines | Boundary layer
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8. Geometric and spectral analysis
by Albin, Pierre, 1976 and Jakobson, Dmitry, 1970 and Rochon, Frédéric, 1978
2014, Volume 630.
Geometric analysis | Spectrum analysis
Conference Proceeding
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9. Methods of nonlinear analysis
: applications to differential equations
by Drábek, Pavel, 1968 and Milota, Jaroslav
2007, Birkhäuser advanced texts, ISBN 3764381469, xii, 568
Nonlinear functional analysis | Differential equations | Mathematics | Functional Analysis | Calculus of Variations and Optimal Control; Optimization | Analysis | Partial Differential Equations
Book
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10. Advanced engineering analysis
by Reddy, J. N. 1945- (Junuthula Narasimha) and Rasmussen, M. L
1982, ISBN 0471093491, xiv, 488
Engineering mathematics
Book
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11. The AB program in geometric analysis
: sharp Sobolev inequalities and related problems
by Druet, Olivier and Hebey, Emmanuel and American Mathematical Society
2002, Memoirs of the American Mathematical Society, ISBN 9780821829899, Volume no. 761., viii, 98
Riemannian manifolds | Variational inequalities (Mathematics)
Book
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12. Full Text Generation of analysis and consistent error fields using the Data Interpolating Variational Analysis (DIVA)
by Troupin, C and Barth, A and Sirjacobs, D and Ouberdous, M and Brankart, J.-M and Brasseur, P and Rixen, M and Alvera-Azcárate, A and Belounis, M and Capet, A and Lenartz, F and Toussaint, M.-E and Beckers, J.-M
Ocean Modelling, ISSN 1463-5003, 08/2012, Volume 52-53, pp. 90 - 101
► The covariance function in DIVA is influenced by the physical boundaries (coastline, bottom) and by dynamics (current, diffusion). ► The analysis performed... 
Spatial interpolation | Variational analysis | Optimal Interpolation | Mediterranean Sea | Inverse method | Optimal interpolation | Mediterranean sea | CIRCULATION | MODEL | OBJECTIVE ANALYSIS | SMOOTHING NOISY DATA | OCEANOGRAPHY | SPLINE | METEOROLOGY & ATMOSPHERIC SCIENCES | WATER | Analysis | Singers | Executions and executioners | Errors | Interpolation | Error analysis | Covariance | Mathematical analysis | Cost function | Mathematical models | Optimization
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13. Full Text Variational representational similarity analysis
by Friston, Karl J and Diedrichsen, Jörn and Holmes, Emma and Zeidman, Peter
NeuroImage, ISSN 1053-8119, 11/2019, Volume 201, p. 115986
This technical note describes a variational or Bayesian implementation of representational similarity analysis (RSA) and pattern component modelling (PCM). It... 
Representational similarity analysis | RSA | Variational | Multivariate | Pattern component modelling | Bayesian | ALGORITHM | SPARSE | INFERENCE | NEUROSCIENCES | NEUROIMAGING | CONNECTIVITY | CORTEX | FREE-ENERGY | RADIOLOGY, NUCLEAR MEDICINE & MEDICAL IMAGING | FMRI | Hypothesis testing | Neuroimaging | Hypotheses | Medical imaging | Brain mapping | Software | Multivariate analysis | Bayesian analysis
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14. Full Text Ram-air parachute structural and fluid mechanics computations with the Space–Time Isogeometric Analysis (ST-IGA)
by Takizawa, Kenji and Tezduyar, Tayfun E and Terahara, Takuya
Computers and Fluids, ISSN 0045-7930, 12/2016, Volume 141, pp. 191 - 200
We present a method for structural and fluid mechanics computations of ram-air parachutes. A ram-air parachute is a parafoil inflated by the airflow through... 
ST-IGA | ST Slip Interface method | Parafoil | ST-VMS | NURBS meshes | Space–Time Variational Multiscale method | ST-SI | Porosity | ST Isogeometric Analysis | Ram-air parachute | FLAPPING-WING AERODYNAMICS | COMPRESSIBLE FLOWS | INVISCID SUPERSONIC FLOWS | MOVING BOUNDARIES | FINITE-ELEMENT COMPUTATION | PETROV-GALERKIN FORMULATIONS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MECHANICS | LARGE-EDDY SIMULATION | INCOMPRESSIBLE FLOWS | V-SGS STABILIZATION | VARIATIONAL MULTISCALE METHOD | Space Time Variational Multiscale method | Mechanical engineering | Analysis
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15. Full Text A space-time multiscale analysis system: A sequential variational analysis approach
by Xie, Y and Koch, S and McGinley, J and Albers, S and Bieringer, P.E and Wolfson, M and Chan, M
Monthly Weather Review, ISSN 0027-0644, 04/2011, Volume 139, Issue 4, pp. 1224 - 1240
As new observation systems are developed and deployed, new and presumably more precise information is becoming available for weather forecasting and climate... 
Kalman filters | Variational analysis | Ensembles | COVARIANCES | ENSEMBLE KALMAN FILTER | DATA ASSIMILATION | METEOROLOGY & ATMOSPHERIC SCIENCES | ERROR STATISTICS | STATISTICAL-ANALYSIS | RECURSIVE FILTERS | NUMERICAL ASPECTS | PREDICTION | Studies | Fourier analysis | Advantages | Meteorology | Data assimilation
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16. Full Text Discrete mechanics and optimal control: An analysis
by Ober-Blöbaum, Sina and Junge, Oliver and Marsden, Jerrold E
ESAIM: Control, Optimisation and Calculus of Variations, ISSN 1292-8119, 4/2011, Volume 17, Issue 2, pp. 322 - 352
The optimal control of a mechanical system is of crucial importance in many application areas. Typical examples are the determination of a time-minimal path in... 
Discrete variational principle | Optimal control | Discrete mechanics | Convergence | MATHEMATICS, APPLIED | discrete mechanics | discrete variational principle | convergence | VARIATIONAL INTEGRATORS | BOUNDARY-VALUE PROBLEMS | EULER-POINCARE | EQUATIONS | TIME | MULTISYMPLECTIC GEOMETRY | LAGRANGIAN MECHANICS | NUMERICAL-SOLUTION | SYSTEMS | CONSTRAINED OPTIMAL-CONTROL | AUTOMATION & CONTROL SYSTEMS | Studies | Control theory | Mathematical analysis | Optimization
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17. Full Text Segmentation of Moving Objects by Long Term Video Analysis
by Ochs, Peter and Malik, Jitendra and Brox, Thomas
IEEE Transactions on Pattern Analysis and Machine Intelligence, ISSN 0162-8828, 06/2014, Volume 36, Issue 6, pp. 1187 - 1200
Motion is a strong cue for unsupervised object-level grouping. In this paper, we demonstrate that motion will be exploited most effectively, if it is regarded... 
variational methods | Computer vision | Tracking | Motion segmentation | Noise | Optical imaging | Adaptive optics | Trajectory | point trajectories | motion segmentation | RECOGNITION | OPTICAL-FLOW | FRAMEWORK | GRAPH CUTS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | ENGINEERING, ELECTRICAL & ELECTRONIC | Measurement | Image segmentation | Technology application | Pattern recognition | Object recognition (Computers) | Methods | Pixels | Windows (intervals) | Side effects | Segmentation | Color | Benchmarking | Ground truth | Shot | Pattern analysis
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