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International Journal for Numerical Methods in Engineering, ISSN 0029-5981, 06/2018, Volume 114, Issue 11, pp. 1228 - 1244
Journal Article
ACM Transactions on Graphics (TOG), ISSN 0730-0301, 08/2018, Volume 37, Issue 4, pp. 1 - 14
In this paper, we introduce the Moving Least Squares Material Point Method (MLS-MPM). MLS-MPM naturally leads to the formulation of Affine Particle-In-Cell... 
material point method (MPM) | rigid coupling | cutting | distance field | discontinuity | moving least squares | Cutting | Discontinuity | Moving least squares | Distance field | Rigid coupling | Material point method (MPM) | COMPUTER SCIENCE, SOFTWARE ENGINEERING | SAND | FLUID | ANIMATION | Material Point Method (MPM)
Journal Article
Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 03/2018, Volume 330, pp. 351 - 367
Time-stepping methods for non-smooth dynamics are based on the solution of multiple complementarity problems: solving this class of problems represents a major... 
Rigid contact | Interior point | Multibody | DVI | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | RIGID-BODY | ENGINEERING, MULTIDISCIPLINARY | ALGORITHM | LARGE-SCALE | SIMULATION | Analysis | Methods | Algorithms
Journal Article
Applied Mathematics and Optimization, ISSN 0095-4616, 2018, pp. 1 - 46
Employing the ideas of non-linear preconditioning and testing of the classical proximal point method, we formalise common arguments in convergence rate and... 
Splitting | Fixed points (mathematics) | Saddle points | Preconditioning | Methods | Goal programming | Convergence
Journal Article
Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 06/2012, Volume 225-228, pp. 55 - 64
A new multi-variate fixed-point iteration scheme is devised for solving the coupled dynamic integral equations governing nonlocal plasticity using the material... 
Material point method | Fixed-point iteration | Localization | Integral equations | Nonlocal plasticity | FRACTURE | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | TIME INTEGRATION | MPM | DAMAGE | Finite element method | Computer simulation | Dynamics | Plasticity | Mathematical models | Criteria | Convergence
Journal Article
Fixed Point Theory and Applications, ISSN 1687-1820, 12/2013, Volume 2013, Issue 1, pp. 1 - 9
We show that the fixed point methods allow to investigate Ulam’s type stability of additivity quite efficiently and precisely. Using them we generalize, extend... 
additivity | Mathematical and Computational Biology | fixed point | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | Ulam stability | Additivity | Fixed point | HYERS-ULAM STABILITY | MATHEMATICS | FUNCTIONAL-EQUATIONS | MAPPINGS | Fixed point theory | Usage | Metric spaces | Contraction operators
Journal Article
Journal of Fixed Point Theory and Applications, ISSN 1661-7738, 12/2017, Volume 19, Issue 4, pp. 2297 - 2308
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 06/2017, Volume 523, pp. 59 - 78
The projection of a symmetric matrix onto the positive semidefinite cone is an important problem with application in many different areas such as economy,... 
Projection | Positive semidefinite cone | Iterative methods | Fixed-point | MATHEMATICS | MATHEMATICS, APPLIED | ALGORITHM
Journal Article
Thin Solid Films, ISSN 0040-6090, 11/2012, Volume 522, pp. 314 - 317
Journal Article
Milan Journal of Mathematics, ISSN 1424-9286, 2019, Volume 87, Issue 1, pp. 73 - 91
Let C be a closed, convex and nonempty subset of a Banach space X. Let T:CX be a nonexpansive inward mapping. We consider the boundary point map hC,T:CR... 
Boundary point method | inward condition | non-self mappings | nonexpansive mappings | MATHEMATICS | MATHEMATICS, APPLIED | FIXED-POINTS | Methods | Algorithms
Journal Article
Computational and Applied Mathematics, ISSN 2238-3603, 3/2020, Volume 39, Issue 1, pp. 1 - 13
Existing viscosity approximation schemes have been extensively investigated to solve equilibrium problems, variational inequalities, and fixed-point problems,... 
Computational Mathematics and Numerical Analysis | Strong convergence | 90C30 | Mathematical Applications in Computer Science | Minimum norm fixed point | 90C25 | Quasi-nonexpansive mappings | Mathematics | Applications of Mathematics | Mathematical Applications in the Physical Sciences | 47J25 | Viscosity approximation
Journal Article
Abstract and Applied Analysis, ISSN 1085-3375, 2014, Volume 2014, pp. 1 - 9
The well-known Blasius flow is governed by a third-order nonlinear ordinary differential equation with two-point boundary value. Specially, one of the boundary... 
VISCOUS-FLOW | EQUATIONS | MATHEMATICS, APPLIED | BOUNDARY | ANALYTIC SOLUTION | ALGORITHM | Differential equations, Nonlinear | Fixed point theory | Usage
Journal Article
Numerical Functional Analysis and Optimization, ISSN 0163-0563, 05/2019, Volume 40, Issue 7, pp. 844 - 865
Let C be a closed, convex and nonempty subset of a q-uniformly smooth Banach space X. Let be a strict pseducontractive inward mapping. We consider the boundary... 
47H10 | 65J05 | strict pseudo-contractive mappings | Boundary point method | 47H05 | inward condition | nonself mappings | NONLINEAR MAPPINGS | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | WEAK-CONVERGENCE | PSEUDOCONTRACTIVE MAPPINGS | STRONG-CONVERGENCE THEOREMS | ITERATIVE METHODS | APPROXIMATING FIXED-POINTS | Mapping | Algorithms | Banach space | Convergence
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 2011, Volume 62, Issue 6, pp. 2555 - 2566
Journal Article
Fixed Point Theory and Applications, ISSN 1687-1820, 12/2007, Volume 2008, Issue 1, pp. 1 - 15
We discuss on the generalized Ulam-Hyers stability for functional equations in a single variable, including the nonlinear functional equations, the linear... 
Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | MATHEMATICS | MATHEMATICS, APPLIED | MAPPINGS | ULAM | SPACES | Fixed point theory | Functions | Stability | Research | Functional equations | Properties
Journal Article
IEEE Transactions on Magnetics, ISSN 0018-9464, 04/2015, Volume 51, Issue 4, pp. 1 - 6
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 11/2013, Volume 224, pp. 791 - 802
Journal Article
Journal of Function Spaces, ISSN 2314-8896, 06/2019, Volume 2019, pp. 1 - 6
In this paper, we introduce the radical nth-degree functional equation of the form f(xn+ynn)=f(x)+f(y) with a positive integer n, discuss its general... 
Problems | Theorems | Fixed points (mathematics) | Stability | Functional equations | Mathematical functions | Banach spaces
Journal Article