Results 81 to 90 of about 2,542,586 (278)

Convergence Analysis of Generalized Jacobi-Galerkin Methods for Second Kind Volterra Integral Equations with Weakly Singular Kernels

Journal of Function Spaces, 2017
We develop a generalized Jacobi-Galerkin method for second kind Volterra integral equations with weakly singular kernels. In this method, we first introduce some known singular nonpolynomial functions in the approximation space of the conventional Jacobi-
Haotao Cai
doaj   +1 more source

Approximate solution of singular integral equations

Applied Mathematics Letters, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chakrabarti, A, Berghe, Vanden G
openaire   +3 more sources

OntOMat: Toward Ontology‐Based Product and Process Design Engineering and Optimization Solutions Fueling Circular Value Chains

Advanced Engineering Materials, EarlyView.
The OntOMat ontology establishes a structured framework for polymer matrix fiber reinforced composite materials, integrating manufacturing processes, characterization methods, and multiscale design through the VDI/VDE 3682 formalized process description standard.
Nicolas Christ, Jörg Hohe, Martin Kördel, Michael Giese, Niklas Toffert, Christian Seidel, Olaf Rehme, Patrik Schneider, Oliver Focke, Elie Abi Aoun, Claas Falldorf, Beñat Gutierrez, Alexandra Kühn, Sven Torstrick-von der Lieth, Christoph Herden, Erik Johannsen, Jan‐Uwe R. Schmidt, Felix Winkelmann, Andreas Schott, Daniel Schott   +19 more
wiley   +1 more source

An Analytical and Approximate Solution for Nonlinear Volterra Partial Integro-Differential Equations with a Weakly Singular Kernel Using the Fractional Differential Transform Method

International Journal of Differential Equations, 2018
An analytical-approximate method is proposed for a type of nonlinear Volterra partial integro-differential equations with a weakly singular kernel. This method is based on the fractional differential transform method (FDTM).
Rezvan Ghoochani-Shirvan, Jafar Saberi-Nadjafi, Morteza Gachpazan   +2 more
doaj   +1 more source

On a Numerical Solution of an Integral Equation with Singularities [PDF]

Mathematics of Computation, 1966
5. E. C. TITCHMARSH, The Theory of Functions, Oxford Univ. Press, London, 1939. 6. E. C. TITCHMARSH, Eigenfunction Expansions Associated With Second-Order Differential Equations, Oxford, at the Clarendon Press, 1946; Part I, Oxford Univ. Press, London, 1962. MR 8, 458. 7. G. N.
openaire   +2 more sources

Distinct Microstructural Characteristic Lengths Defining Notch Fatigue Crack Initiation and Propagation, and Defect Tolerance in Advanced Steels

Advanced Engineering Materials, EarlyView.
Schematic representation of modes of microcrack nucleation, growth and temporary arrestment at different boundaries, with the criteria for crack propagation in three scenarios: (1) large notch, (2) defect/small sharp notch, and (3) long crack. This work revisits and integrates results on the fatigue behavior of advanced bainitic steels (in particular ...
Lucia Morales‐Rivas
wiley   +1 more source

Microstructure Modification of Additively Manufactured Mo–9Si–8B by Annealing and Its Effects on High‐Temperature Mechanical Properties

Advanced Engineering Materials, EarlyView.
Postbuild annealing systematically modifies the phase fractions and morphology of EB‐PBF processed Mo–9Si–8B. Quantitative microstructure–property correlations reveal how controlled phase evolution enhances high‐temperature compressive strength and creep resistance.
Christopher Schmidt, Yong Chen, Georg Hasemann, Benjamin Wahlmann, Carolin Körner, Manja Krüger   +5 more
wiley   +1 more source

Volterra integral equations: the singular case

Hokkaido Mathematical Journal, 2003
The authors are concerned with the investigation of singular Volterra integral equations of the form \[ y(t)= \int^t_0 k(t, s) f(s,y(s))\,ds,\quad t\in [0,T]. \] The singularity feature appears in the nonlinearity \(f(t,y)\), which may admit a nonregular behavior at \(y= 0\).
AGARWAL, Ravi P., O'REGAN, Donal
openaire   +2 more sources

A Theoretical Study on the Rank of the Integral Operators for Large-­‐Scale Electrodynamic Analysis [PDF]

, 2011
We theoretically prove that the minimal rank of the interaction between two separated geometry blocks in an integral-equation based analysis of general three-dimensional objects, for a prescribed error bound, scales linearly with the electric size of the
Chai, Wenwen, Jiao, Dan
core  

Alzheimer's Disease Beyond Amyloid: Lessons From Atherosclerosis

Annals of Clinical and Translational Neurology, EarlyView.
Marcello Ciaccio, Luisa Agnello
wiley   +1 more source