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A review of least‐squares methods for solving partial differential equations
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Outgoing claims: the papers this work cites, builds on, or argues with.
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Local and global smoothing of discontinuous finite element functions using a least squares method
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Solution of non‐linear boundary value problems by discrete least squares
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New Bounds in Harmonic and Biharmonic Problems
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The Numerical Treatment of Differential Equations
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Nonlinear parameters in the Least-Squares Local Energy Method
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New applications of the least-squares method: Unbound states of helium and asymptotically correct bound states
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Least-squared error polynomial approximation method for solving certain nonlinear differential equations characterizing some electric circuits and other nonlinear physical systems
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Least-squares solution for the blunt body hypersonic flow problem
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Iterative methods for best approximate solutions of linear integral equations of the first and second kinds
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Computer aided engineering 1971
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Thermal stresses in plates with circular holes
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Thermal and mechanical stresses in nuclear reactor vessels
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Variational Methods in Engineering
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ON THE NUMERICAL SOLUTION OF ELLIPTIC BOUNDARY VALUE PROBLEMS BY LEAST SQUARES APPROXIMATION OF THE DATA**This research was supported in part by the National Science Foundation under Grant Number NSF-GP-22936.
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THE FINITE ELEMENT METHOD AND APPROXIMATION THEORY**The preparation of this paper was supported by the National Science Foundation (GP-13778) and by the Office of Naval Research.
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A LEAST SQUARES FINITE ELEMENT SOLUTION OF NONLINEAR OPERATORS
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Nonlinear Partial Differential Equations in Engineering
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Minimum error solutions of the Boltzmann equation for shock structure
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Polynomial approximations to the solution of the heat equation
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Direct numerical calculation of wave properties
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Stream function representation of nonlinear ocean waves
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The Rayleigh hypothesis and a related least‐squares solution to scattering problems for periodic surfaces and other scatterers
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Admittance of a coaxial-to-circular waveguide junction
inferredcites →https://doi.org/10.1051/anphys/191609060137openalex-snapshot
La méthode des moindres carrés et les équations aux dérivées partielles de la Physique mathématique
inferredcites →https://doi.org/10.1061/jmcea3.0001684openalex-snapshot
Interpretation of Finite Element Procedure as Stress Error Minimization Procedure
inferredcites →https://doi.org/10.1063/1.1691887openalex-snapshot
Viscous Flow in a Rectangular Cut Out
inferredcites →https://doi.org/10.1063/1.1697847openalex-snapshot
A Least-Square Application to Relaxation Methods
inferredcites →https://doi.org/10.1063/1.1722378openalex-snapshot
Variational Method for the Calculation of the Distribution of Energy Reflected from a Periodic Surface. I.
inferredcites →https://doi.org/10.1063/1.1723712openalex-snapshot
The Approximate Solution of Schrödinger Equations by a Least Squares Method
inferredcites →https://doi.org/10.1080/01621459.1970.10481103openalex-snapshot
A Report on the Accuracy of Some Widely Used Least Squares Computer Programs
inferredcites →https://doi.org/10.1080/14786444108521297openalex-snapshot
III. Experiments in approximating to solutions of a partial differential equation
inferredcites →https://doi.org/10.1080/14786444808645919openalex-snapshot
VII. On algebraic equations of the fifth degree
inferredcites →https://doi.org/10.1088/0022-3700/5/7/013openalex-snapshot
The least squares method for unbound states
inferredcites →https://doi.org/10.1088/0022-3700/6/2/003openalex-snapshot
The least squares method applied to scattering problems
inferredcites →https://doi.org/10.1088/0022-3735/2/2/311openalex-snapshot
Accurate calculations of double-aperture electrostatic immersion lenses
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Calculated properties of electrostatic einzel lenses of three apertures
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A symmetric electrostatic lenses of three apertures
inferredcites →https://doi.org/10.1088/0370-1298/68/8/305openalex-snapshot
The Cellular Method for a Close-packed Hexagonal Lattice, with applications to Titanium
inferredcites →https://doi.org/10.1090/mmono/007/02openalex-snapshot
Variational methods in mathematical physics
inferredcites →https://doi.org/10.1090/qam/20346openalex-snapshot
Punch-card machine methods applied to the solution of the torsion problem
inferredcites →https://doi.org/10.1090/qam/29706openalex-snapshot
A general approximation method in the theory of plates of small deflection
inferredcites →https://doi.org/10.1090/s0002-9904-1926-04220-8openalex-snapshot
Approximate solutions of a system of differential equations of mathematical physics by least squares
inferredcites →https://doi.org/10.1090/s0002-9904-1932-05549-5openalex-snapshot
On the approximate solution of linear differential equations with boundary conditions
inferredcites →https://doi.org/10.1090/s0002-9947-1931-1501627-7openalex-snapshot
Problems of Closest Approximation Connected with the Solution of Linear Differential Equations
inferredcites →https://doi.org/10.1090/s0002-9947-1971-0281359-1openalex-snapshot
The Method of Least Squares for Boundary Value Problems
inferredcites →https://doi.org/10.1090/s0025-5718-1958-0101629-4openalex-snapshot
Numerical experiments in potential theory using the Nehari estimates.
inferredcites →https://doi.org/10.1090/s0025-5718-1971-0295591-8openalex-snapshot
Least squares methods for 2𝑚th order elliptic boundary-value problems
inferredcites →https://doi.org/10.1090/s0025-5718-1972-0349038-4openalex-snapshot
Semidiscrete least-squares methods for a parabolic boundary value problem
inferredcites →https://doi.org/10.1090/s0025-5718-1973-0327056-0openalex-snapshot
Simplified Proofs of Error Estimates for the Least Squares Method for Dirichlet's Problem
inferredcites →https://doi.org/10.1090/s0025-5718-1973-0366029-9openalex-snapshot
Rate of Convergence Estimates for Nonselfadjoint Eigenvalue Approximations
inferredcites →https://doi.org/10.1090/s0025-5718-1974-0373323-5openalex-snapshot
Semidiscrete Least-Squares Methods for Second Order Parabolic Problems With Nonhomogenous Data
inferredcites →https://doi.org/10.1093/biomet/36.3-4.458openalex-snapshot
A historical note on the method of least squares
inferredcites →https://doi.org/10.1093/comjnl/11.1.83openalex-snapshot
A least squares method for Laplace's equation with Dirichlet boundary conditions
inferredcites →https://doi.org/10.1093/comjnl/7.4.303openalex-snapshot
A Method for Minimizing a Sum of Squares of Non-Linear Functions Without Calculating Derivatives
inferredcites →https://doi.org/10.1093/qjmam/15.4.413openalex-snapshot
BENDING OF A SIMPLY SUPPORTED RHOMBIC PLATE UNDER UNIFORM NORMAL LOADING
inferredcites →https://doi.org/10.1093/qjmam/18.1.41openalex-snapshot
IMPROVED POINT-MATCHING TECHNIQUES
inferredcites →https://doi.org/10.1093/qmath/23.1.91openalex-snapshot
LEAST SQUARES AND BOUNDARY VALUE PROBLEMS FOR LINEAR SYSTEMS
inferredcites →https://doi.org/10.1098/rspa.1958.0033openalex-snapshot
The cellular method for a close-packed hexagonal lattice II. The computations: a program for a digital computer and an application to zirconium metal
inferredcites →https://doi.org/10.1103/revmodphys.32.313openalex-snapshot
Local-Energy Method in Electronic Energy Calculations
inferredcites →https://doi.org/10.1109/mspec.1970.5213471openalex-snapshot
Least-squares estimation: from Gauss to Kalman
inferredcites →https://doi.org/10.1109/t-c.1969.222702openalex-snapshot
Use of Functional Approximation Methods in the Computer Solution of Initial Value Partial Differential Equation Problems
inferredcites →https://doi.org/10.1109/tac.1971.1099815openalex-snapshot
Modern state estimation methods from the viewpoint of the method of least squares
inferredcites →https://doi.org/10.1109/tac.1972.1100075openalex-snapshot
Identification of distributed systems
inferredcites →https://doi.org/10.1109/tap.1972.1140187openalex-snapshot
A new numerical approach to the calculation of electromagnetic scattering properties of two-dimensional bodies of arbitrary cross section
inferredcites →https://doi.org/10.1109/tit.1974.1055174openalex-snapshot
A view of three decades of linear filtering theory
inferredcites →https://doi.org/10.1109/tmtt.1973.1127931openalex-snapshot
A Least-Squares Boundary Residual Method for the Numerical Solution of Scattering Problems
inferredcites →https://doi.org/10.1109/tmtt.1973.1128095openalex-snapshot
A Numerical Method for the Solution of the Junction of Cylindrical Waveguides (Short Papers)
inferredcites →https://doi.org/10.1115/1.3422622openalex-snapshot
The Merit of Different Error Minimization Criteria in Approximate Analysis
inferredcites →https://doi.org/10.1115/1.3423332openalex-snapshot
A Note on Least-Square Residues in Linear Elasticity
inferredcites →https://doi.org/10.1115/1.3427739openalex-snapshot
Solution of Thermal Stress Problems in Tube Sheets by the Boundary Point Least Squares Method
inferredcites →https://doi.org/10.1115/1.3427853openalex-snapshot
Analysis of Stresses in Shallow Spherical Shells With Periodically Spaced Holes
inferredcites →https://doi.org/10.1115/1.3428086openalex-snapshot
The Stress Analysis of Plates With Single and Clustered Nozzles by the Boundary Point Least Squares Method
inferredcites →https://doi.org/10.1115/1.3438448openalex-snapshot
Thermal Stresses in Elastic Plates With Elliptic Holes
inferredcites →https://doi.org/10.1115/1.3449844openalex-snapshot
Analytical Solution to Steady-State Heat-Conduction Problems With Irregularly Shaped Boundaries
inferredcites →https://doi.org/10.1115/1.3449896openalex-snapshot
Improved Point-Matching Techniques Applied to Multi-Region Heat Transfer Problems
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Thermal Stress Analysis of Multiholed Composite Plates and Cylinders by the Boundary-Point-Least-Squares Method
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Flow in the Hydrodynamic Entrance Region of Ducts of Arbitrary Cross Section
inferredcites →https://doi.org/10.1115/1.3597438openalex-snapshot
Transient and Steady Heat Conduction in Arbitrary Bodies with Arbitrary Boundary and Initial Conditions
inferredcites →https://doi.org/10.1115/1.3670837openalex-snapshot
Accurate Calculation of Stress Distributions in Multiholed Plates
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Flow and Heat Transfer in Ducts of Arbitrary Shape With Arbitrary Thermal Boundary Conditions
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On One-Term Approximations of Forced Nonharmonic Vibrations
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Acoustic Radiation from a Finite Cylinder
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Pointwise Bounds for Solutions of the First Initial-Boundary Value Problem for Parabolic Equations
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Pointwise Bounds in the Cauchy Problem for an Elliptic System
inferredcites →https://doi.org/10.1137/0121006openalex-snapshot
Bounds in the Cauchy Problem for a Fourth Order Quasi-Linear Equation
inferredcites →https://doi.org/10.1137/0703039openalex-snapshot
The Numerical Solution of Some Biharmonic Problems by Mathematical Programming Techniques
inferredcites →https://doi.org/10.1137/0704014openalex-snapshot
Numerical Experiments on the Solution of Some Biharmonic Problems by Mathematical Programming Techniques
inferredcites →https://doi.org/10.1137/0709020openalex-snapshot
The Approximate Solution of Parabolic Initial Boundary Value Problems by Weighted Least-Squares Methods
inferredcites →https://doi.org/10.1137/1.9781611970647openalex-snapshot
Functional Analysis and Approximation Theory in Numerical Analysis
inferredcites →https://doi.org/10.1137/1.9781611973242openalex-snapshot
The Method of Weighted Residuals and Variational Principles
inferredcites →https://doi.org/10.1137/1009081openalex-snapshot
Pointwise Bounds for Solutions of Semilinear Parabolic Equations
inferredcites →https://doi.org/10.1145/320783.320788openalex-snapshot
A Multiple Purpose Orthonormalizing Code and its Uses
inferredcites →https://doi.org/10.1145/321420.321432openalex-snapshot
On a Continuous Method of Approximating Solutions of the Heat Equation
inferredcites →https://doi.org/10.1145/321752.321758openalex-snapshot
Best Least Squares Solutions to Finite Difference Equations Using the Generalized Inverse and Tensor Product Methods
inferredcites →https://doi.org/10.1147/rd.133.0323openalex-snapshot
Thermal Expansion in a Constrained Elastic Cylinder
inferredcites →https://doi.org/10.1147/rd.34.0355openalex-snapshot
On the Reduction of Continuous Problems To Discrete Form
inferredcites →https://doi.org/10.1177/002199836700100104openalex-snapshot
Mechanical Properties of Fiber Reinforced Composites
inferredcites →https://doi.org/10.1177/002199837000400315openalex-snapshot
The Longitudinal Shear Modulus of a Unidirectional Fibrous Composite
inferredcites →https://doi.org/10.1177/002199837100500203openalex-snapshot
Boundary Point Least Squares Analysis of the Free Edge Effects in Some Unidirectional Fiber Composites
inferredcites →https://doi.org/10.1177/002199837400800110openalex-snapshot
Transformations for Elliptical Holes Applied to Finite Element Analysis
inferredcites →https://doi.org/10.1243/03093247v032109openalex-snapshot
Numerical solution of plane elastostatic problems by point matching
inferredcites →https://doi.org/10.1243/03093247v051025openalex-snapshot
Numerical solution of axisymmetric-stress problems by point matching
inferredcites →https://doi.org/10.1243/03093247v062124openalex-snapshot
Solution of axisymmetric torsion problems by point matching
inferredcites →https://doi.org/10.1299/jsme1958.15.787openalex-snapshot
Stresses in a Circular Cylindrical Shell Having Two Circular Cutouts
inferredcites →https://doi.org/10.13182/nse67-a17281openalex-snapshot
The Method of Solution-Functions: A Computer-Oriented Solution of Boundary Value Problems as Applied to Nuclear Reactors—Part 1. Cylindrical Reactors in ρ-θ Geometry
inferredcites →https://doi.org/10.13182/nse68-a18234openalex-snapshot
Analysis of Pulsed Fast-Neutron Spectra in Multiplying Assemblies
inferredcites →https://doi.org/10.13182/nse72-a22460openalex-snapshot
Theoretical Heat Transfer Predictions for Finite Nuclear Fuel Rod Assemblies
inferredcites →https://doi.org/10.2307/1967702openalex-snapshot
On the Approximate Solution of the Integro-Differential Equations of Mathematical Physics
inferredcites →https://doi.org/10.2307/2002124openalex-snapshot
Numerical Experiments in Potential Theory Using the Nehari Estimates
inferredcites →https://doi.org/10.2307/2004505openalex-snapshot
Approximate Methods for Solution of Differential and Integral Equations
inferredcites →https://doi.org/10.2307/2005129openalex-snapshot
Least Squares Methods for 2mth Order Elliptic Boundary-Value Problems
inferredcites →https://doi.org/10.2514/3.4432openalex-snapshot
Deflection of a circular plate having mixed boundary conditions.
inferredcites →https://doi.org/10.2514/3.5245openalex-snapshot
A comparison of approximate methods for the solution of plate bending problems.
inferredcites →https://doi.org/10.2514/8.8521openalex-snapshot
A Note on the Relation of Biot's Method in Heat Conduction to a Least-Squares Procedure
inferredcites →https://doi.org/10.31274/rtd-180813-14116openalex-snapshot
Approximate solution of boundary value problems. I, By minimization of the least square error; II, By use of finite differences
inferredcites →https://doi.org/10.5636/jgg.21.685openalex-snapshot
Spherical Harmonic Analysis 3. The Earth's Magnetic Field, 1900-1965
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.2139/ssrn.4771908openalex-extracted
A Functionally Connected Element Method for Solving Boundary Value Problems
inferred← citeshttps://doi.org/10.1002/(sici)1097-0207(19971130)40:22<4159::aid-nme239>3.0.co;2-aopenalex-snapshot
A three-dimensional least-squares finite element technique for deformation analysis
inferred← citeshttps://doi.org/10.1002/(sici)1097-0207(19990510)45:1<77::aid-nme579>3.0.co;2-5openalex-snapshot
Higher-order accurate least-squares methods for first-order initial value problems
inferred← citeshttps://doi.org/10.1002/(sici)1098-2426(199705)13:3<257::aid-num3>3.0.co;2-mopenalex-snapshot
An iterative penalty method for the least squares solution of boundary value problems
inferred← citeshttps://doi.org/10.1002/(sici)1099-0887(199703)13:3<207::aid-cnm48>3.0.co;2-yopenalex-snapshot
SUPERCONVERGENT PATCH RECOVERY IN PROBLEMS OF MIXED FORM
inferred← citeshttps://doi.org/10.1002/cnm.1630010507openalex-snapshot
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inferred← citeshttps://doi.org/10.1002/eqe.4290180408openalex-snapshot
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inferred← citeshttps://doi.org/10.1002/fld.1650020207openalex-snapshot
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inferred← citeshttps://doi.org/10.1002/fld.1650080805openalex-snapshot
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inferred← citeshttps://doi.org/10.1002/fld.1650140606openalex-snapshot
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inferred← citeshttps://doi.org/10.1002/fld.1650140706openalex-snapshot
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inferred← citeshttps://doi.org/10.1002/fld.1650200302openalex-snapshot
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inferred← citeshttps://doi.org/10.1002/fld.2585openalex-snapshot
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inferred← citeshttps://doi.org/10.1002/fld.4230openalex-snapshot
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inferred← citeshttps://doi.org/10.1002/mren.202000010openalex-snapshot
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inferred← citeshttps://doi.org/10.1002/nme.1620110404openalex-snapshot
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inferred← citeshttps://doi.org/10.1002/nme.1620120405openalex-snapshot
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inferred← citeshttps://doi.org/10.1002/nme.1620140706openalex-snapshot
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inferred← citeshttps://doi.org/10.1002/nme.1620180607openalex-snapshot
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inferred← citeshttps://doi.org/10.1002/nme.1620240112openalex-snapshot
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inferred← citeshttps://doi.org/10.1002/nme.1620240705openalex-snapshot
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inferred← citeshttps://doi.org/10.1002/nme.1620270111openalex-snapshot
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inferred← citeshttps://doi.org/10.1002/nme.1620281108openalex-snapshot
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inferred← citeshttps://doi.org/10.1002/nme.1620360107openalex-snapshot
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inferred← citeshttps://doi.org/10.1002/nme.1620362105openalex-snapshot
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inferred← citeshttps://doi.org/10.1002/nme.1620372003openalex-snapshot
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inferred← citeshttps://doi.org/10.1002/nme.5146openalex-snapshot
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inferred← citeshttps://doi.org/10.1002/nme.5838openalex-snapshot
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inferred← citeshttps://doi.org/10.1002/num.1690050306openalex-snapshot
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inferred← citeshttps://doi.org/10.1002/num.1690050406openalex-snapshot
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inferred← citeshttps://doi.org/10.1002/num.1690070308openalex-snapshot
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inferred← citeshttps://doi.org/10.1002/num.1690100408openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-030-39847-7openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-030-39847-7_28openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-319-31925-4_6openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-319-56932-1_32openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-642-45694-7_9openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-94-009-6914-8_14openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-94-011-3360-9_3openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-981-19-8429-7openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf00034829openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf00625513openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01895334openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf02684401openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s00366-026-02312-6openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s10444-020-09802-1openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s10444-025-10241-zopenalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s10915-019-00978-3openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s10915-022-01932-6openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s11227-021-04278-2openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s40314-022-01863-wopenalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0013-7944(90)90373-oopenalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0021-9991(78)90014-1openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0021-9991(81)90139-xopenalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0022-460x(79)90599-6openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0045-7825(77)90055-xopenalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0045-7825(81)90004-9openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0045-7825(90)90139-dopenalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0045-7930(78)90016-6openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0045-7930(81)90024-4openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0045-7949(94)00600-8openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0045-7949(94)90286-0openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0093-6413(86)90044-3openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0309-1708(90)90004-nopenalex-snapshot
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inferred← citeshttps://doi.org/10.1016/1352-2310(95)00054-3openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.amc.2012.09.063openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.cam.2019.112696openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.cam.2025.117004openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.camwa.2006.04.007openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.camwa.2024.10.024openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.cma.2005.05.018openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.cma.2020.113111openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.cma.2022.114668openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.cma.2026.118925openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.cma.2026.119302openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.compstruc.2020.106295openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.finel.2004.09.002openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.ifacol.2022.09.072openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.jcp.2011.02.002openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.jcp.2019.05.044openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.jnnfm.2019.03.004openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.molliq.2017.11.047openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/s0045-7825(00)00350-9openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/s0045-7825(99)00182-6openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/s0955-7997(97)00045-3openalex-snapshot
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inferred← citeshttps://doi.org/10.1017/s0022112079001208openalex-snapshot
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inferred← citeshttps://doi.org/10.1029/92wr01487openalex-snapshot
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inferred← citeshttps://doi.org/10.1029/92wr01903openalex-snapshot
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inferred← citeshttps://doi.org/10.1080/00295639.2017.1407592openalex-snapshot
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inferred← citeshttps://doi.org/10.1080/01495739.2010.482356openalex-snapshot
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inferred← citeshttps://doi.org/10.1080/01630563.2016.1209518openalex-snapshot
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inferred← citeshttps://doi.org/10.1080/15376494.2017.1330978openalex-snapshot
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inferred← citeshttps://doi.org/10.1103/lysc-phz4openalex-snapshot
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inferred← citeshttps://doi.org/10.1108/03321640910929290openalex-snapshot
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inferred← citeshttps://doi.org/10.1108/ec-04-2017-0135openalex-snapshot
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inferred← citeshttps://doi.org/10.1109/access.2019.2938558openalex-snapshot
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inferred← citeshttps://doi.org/10.1109/cdc51059.2022.9992720openalex-snapshot
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inferred← citeshttps://doi.org/10.1109/hpc.1997.592162openalex-snapshot
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inferred← citeshttps://doi.org/10.1109/map.2006.1645560openalex-snapshot
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inferred← citeshttps://doi.org/10.1109/tmtt.1985.1133158openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/0715076openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/0731091openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/s0036144597321156openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/s1064827595294526openalex-snapshot
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inferred← citeshttps://doi.org/10.1142/s1465876302000605openalex-snapshot
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inferred← citeshttps://doi.org/10.1142/s1465876303002179openalex-snapshot
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inferred← citeshttps://doi.org/10.1155/ijde/4761380openalex-snapshot
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inferred← citeshttps://doi.org/10.11606/d.3.2011.tde-26112010-114825openalex-snapshot
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inferred← citeshttps://doi.org/10.11606/t.3.2022.tde-06052024-091427openalex-snapshot
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inferred← citeshttps://doi.org/10.1177/1748301818788661openalex-snapshot
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inferred← citeshttps://doi.org/10.1186/s13661-025-02208-2openalex-snapshot
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inferred← citeshttps://doi.org/10.1198/jcgs.2011.10021openalex-snapshot
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inferred← citeshttps://doi.org/10.1243/03093247v152083openalex-snapshot
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inferred← citeshttps://doi.org/10.1520/stp37073sopenalex-snapshot
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inferred← citeshttps://doi.org/10.2139/ssrn.6463545openalex-snapshot
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inferred← citeshttps://doi.org/10.2172/1055631openalex-snapshot
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inferred← citeshttps://doi.org/10.23919/ecc55457.2022.9838569openalex-snapshot
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inferred← citeshttps://doi.org/10.24996/ijs.2024.65.6.32openalex-snapshot
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inferred← citeshttps://doi.org/10.2514/6.1977-446openalex-snapshot
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inferred← citeshttps://doi.org/10.2514/6.1987-847openalex-snapshot
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inferred← citeshttps://doi.org/10.2514/6.2007-2407openalex-snapshot
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inferred← citeshttps://doi.org/10.2514/6.2008-1821openalex-snapshot
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inferred← citeshttps://doi.org/10.2514/6.2008-5859openalex-snapshot
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inferred← citeshttps://doi.org/10.3390/app16199819openalex-snapshot
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inferred← citeshttps://doi.org/10.34917/8220120openalex-snapshot
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inferred← citeshttps://doi.org/10.6028/nist.ir.3952openalex-snapshot
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