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De afwikkeling van een afgeknotte kegel
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On finite element methods for 2nd order (semi-)periodic eigenvalue problems.
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Modelling of pressure of a given shape from discharges at active wells by soils venting facilities.
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Eisenstein series in Clifford analysis
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New integral equation approach to solution of diffusion equation.
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A monotone linear approximation of a nonlinear elliptic problem with a non-standard boundary condition
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Modelling of constant pressure from discharges at active wells by soil venting facilities.
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Determination of the convective transfer coefficient in elliptic problems from a non-standard boundary condition
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Recovery of the convective transfer coefficient in parabolic problems from a non-standard boundary condition
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Numerical modelling for the recovery of an unknown flux in semilinear parabolic problems with nonstandard boundary conditions.
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Multivariable functions of higher spin
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Multi-Scale Problems in the Quantitative Characterization of Complex Catalytic Materials
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Clifford-Hermite wavelets in Euclidean space
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A scaling equation with only non-measurable orthogonal solutions.
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Finite element methods for eigenvalue problems on a rectangle with (semi-) periodic boundary conditions on a pair of adjacent sides.
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On the numerical approximation of some types of nonstandard second-order eigenvalue problems for vector valued functions.
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Numerical modelling of convection dominated transport coupled with density driven flow in porous media.
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Numerical integration of singularities in meshless implementation of local boundary integral equations.
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Dynamic hysteresis model with f(1 /(1+s)) excess loss dependence.
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On a generalization of Fueter's theorem.
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Application of multi-region Trefftz method in elasticity.
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Hodge-Dirac Operators for Hyperbolic Spaces
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Optimal Control of Soil Venting: Mathematical Modeling and Applications
(1999) -
Boundary spinors arid boundary values of holomorphic functions
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A numerical method for an elliptic eigenvalue problem in a 2D composite structure with nonlocal coupling conditions of Dirichlet type.
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Clifford analysis in two and several vector variables
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Taylor and Laurent series on the sphere
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Approximation theorems for spherical monogenics of complex degree
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On a numerical method for a free boundary value problem in 1D with two moving internal boundaries.
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Möbius invariant spaces in the unit ball
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Some computational aspects of the consistent mass finite element method for the (semi-) periodic eigenvalue problem.
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A numerical method for a free boundary value problem arising from chemical kinetics.
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Monogenic functions and representations of nilpotent Lie groups in quantum mechanics.
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The shear-free perfect fluid conjecture.
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Subtracting square roots repeatedly.
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A finite element method for elliptic eigenvalue problems in a multi-component domain in 2D with non-local Dirichlet transition conditions.
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Identification of the relation between the material parameters in the Preisach model and in the Jiles-Atherton hysteresis model.
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Finite element methods for nonlinear elliptic and parabolic problems with memory properties.
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Bijdrage tot de theorie der eindige-elementenmethoden voor tweede-orde elliptische eigenwaardeproblemen
(1998) -
Finite elements in modeling of flow in porous media: How to describe wells
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Standard and mixed finite elements: A comparison and applications in hydrology
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A study of the influence of laser cutting and punching on the electromagnetic behaviour of electrical steel sheets using a combined finite element - dynamic Preisach model
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Maximum principle and local mass balance for numerical solutions of transport equation coupled with variable density flow
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Vector manifolds from structure functions
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Advanced modelling of the iron losses in steel laminations: theoretical and practical aspects
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On certain hyperplanes and projective embeddings of D4-buildings
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Complementary 2D finite element procedures for magnetic field analysis using a vector hysteresis model
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Manifolds with and without embeddings
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Curved radon transforms in Clifford analysis
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Sharp bounds for the discrete analogue of a Gronwall-type inequality
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Clifford analysis on the sphere
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Homogeneous monogenic functions in Euclidean space.
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Beke's functional equation.
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The remainder in the logarithm series.
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Reproducing kernels and conformal mappings in R-n.
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A variational approximation method for 2nd order elliptic eigenvalue problems in a composite structure with nonstandard boundary conditions.
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Computational methods for the evaluation of the electromagnetic losses in electrical machinery.
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A condition for commutativity.
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On a numerical model for diffusion-controlled growth and dissolution of spherical precipitates.
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On a variational approximation method for 2nd order eigenvalue problems in a multi-component domain with nonlocal Dirichlet transition conditions.
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A closed formula for the Moore-Penrose generalized inverse of a complex matrix of given rank.
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The general quadratic Radon transform.
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A computational model for the iron losses in rotating electrical machines.
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Complementary 2-D Finite Element procedures for the magnetic field analysis using a vector hysteresis model.
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Clifford analysis on the unit sphere
(1997) -
Modeling and estimation of hydraulic parameters
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Numerical solution of a parabolic equation with a weakly singular positive-type memory term
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Optimierung von Anlagen zur Bodenluftabsaugung
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Gas-liquid reaction: absorption accompanied by an instantaneous, irreversible reaction
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De reductie van een reële kwadratische vergelijking in orthogonale coördinaten (2e deel)
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The mathematical modelling of heat gain in buildings through transparent insulation
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Finite element solutions for a direct problem in continuous casting and for its inverse.440
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An improved iron loss model for rotating electrical machines
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On the solution of a class of nonlinear parabolic problems with Volterra operators by a Rothe-Galerkin finite element method
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The problem of defining abstract bivectors
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An algebra of abstract vector variables
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Defining a q-deformed version of Clifford analysis
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Multilevel solution of cell vertex Cauchy-Riemann equations
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Analysis of the cell vertex finite volume method for the Cauchy-Riemann equations
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Finite-element solutions for a direct problem in continuous casting and for its inverse
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A product for special classes of monogenic functions and tensors
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On the numerical solution of a class of nonlinear parabolic problems with Volterra operators by a Rothe-Galerkin finite element method.
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On a finite element method for second order elliptic eigenvalue problems with nonlocal Dirichlet boundary conditions.
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On relaxation schemes for some degenerate reaction-diffusion problems.
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Finite element approximation for 2nd order elliptic eigenvalue problems with nonlocal boundary or transition conditions.
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Mathematical treatment of point sources in a flow through porous media governed by Darcy's law
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Effective radius and underpressure of an air extraction well in a heterogeneous porous medium
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An iron loss model for electrical machines using the Preisach theory.
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Explicit solutions of the inhomogeneous Dirac equation.
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Modelling and identification of iron losses in nonoriented steel laminations using Preisach theory.
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A 2D finite element procedure for magnetic field analysis taking into account a vector Preisach model.
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Soil venting
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Bacterial growth and bioremediation
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Special first order systems in Clifford Analysis
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A full multi-grid method for the solution of the cell vertex finite volume Cauchy-Riemann equations
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Magneto-dynamic field computations using a vector Preisach model
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Monogenic Functions of Higher Spin
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Helv. Phys. Acta, 69, (1996) pp. 326-328.
(1996) -
On the analytic solutions of radially symmetric parabolic equations
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Vahlen matrices for non-definite metrics
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Stokes' formula and the Dirac operator on imbedded manifolds
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Hurwitz pairs and Clifford valued inner products
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The Gegenbauer transform and singular value decompositions for the Radon transform
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Magneto-dynamic model for the iron losses in non oriented steel laminations
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Optimale locatie van het opstelpunt voor theodolieten met elektromagnetische afstandsmeters bij de lengtebepaling van een koorde
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On a variational approximation method for a class of elliptic eigenvalue problems in composite structures
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Lorentz- and hyperrotation-invariant classification of symmetric tensors and the embedding class-2 problem.
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Vacuum solutions of embedding class 2: Petrov types D and N.
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On a magnetodynamic model for the iron losses in non-oriented steel laminations.
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A classification of embedding Class 2 vacua.
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- Journal Article
- A2
- open access
Functions on the spingroup
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- Journal Article
- A2
- open access
Reproducing kernels of spaces of vector valued monogenics
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Automated programming and computer algebra
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Magnetodynamic model fort steel laminations using a rate-dependent Preisach theory
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On a mathematical model for the heat transmission through transparant isolation materials in buildings
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The interpolation theorem for narrow quadrilateral isoparametric finite elements
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On a Mathematical Model for Electromagnetic Losses in Electric Machinery
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Implementation of piecewise-linear fuzzy quantities
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An operator method for a numerical quadrature finite element approximation for a class of second-order elliptic eigenvalue problems in composite structures
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The combined effect of numerical integration and approximation of the boundary in the finite element method for eigenvalue problems
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ON THE NUMERICAL-SOLUTION OF SEMILINEAR PARABOLIC PROBLEMS IN MULTICOMPONENT STRUCTURES WITH VOLTERRA OPERATORS IN THE TRANSMISSION CONDITIONS AND IN THE BOUNDARY-CONDITIONS.
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On an external finite element method for a second-order eigenvalue problem on a concave 2D-domain with Dirichlet boundary conditions
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- Journal Article
- A2
- open access
Introducing q-deformation on the level of vector variables
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- Journal Article
- A2
- open access
Cayley charts and Pfaffians
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Special bi-axial monogenic functions
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Clifford tensor calculus
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On a Mathematical Model for the Heat Transfer trough a TIM-wall
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Reproducing Bergman kernels in Clifford analysis
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A coupled magnetic network-finite element model for the calculation of losses in steel laminations used in electric machinery
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External finite-element approximations of eigenfunctions in the case of multiple-eigenvalues
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The application of the Preisach model in magnetodynamics - theoretical and practical aspects.
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- Journal Article
- A2
- open access
Functions of two vector variables
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External finite element approximations of eigenvalue problems
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On optimal and nearly optimal error estimates of a numerical quadrature finite element method of 2nd-order eigenvalue problems with Dirichlet boundary conditions
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A numerical quadrature finite element method for the 2nd-order eigenvalue problems with Dirichlet-Robin boundary conditions
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The Clifford algebra R_{m,m} as an algebra of endomorphisms
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Boundary value theory for eigenfunctions of the Dirac-operator
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A conjugate Poisson kernel in Euclidean space
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Basis transforms in nuclear FrVechet spaces
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On a numerical method for a class of parabolic problems in composite media
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On the numerical solution to a semilinear heat transfer problem in composite media with nonlocal transmission conditions
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SO(M)-INVARIANT DIFFERENTIAL-OPERATORS ON CLIFFORD ALGEBRA-VALUED FUNCTIONS
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SPACETIMES ADMITTING KILLING 2-SPINORS.
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Spherical geometry and Mobius transformations
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Cauchy Transforms and bi-axial monogenic power functions
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SO(m)-invariant operators on Clifford tensors
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Invariant differential operators on polynomial-valued functions
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A distributional approach to vector manifolds
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Clifford algebras and their applications in mathematical physics
Fred Brackx (UGent) , Richard Delanghe (UGent) and Herman Serras (UGent)(1993) 55. -
Lie-groups as Spin groups.
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Reproducing Kernels on the Unit Sphere
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Axial Monogenic functions from Holomorphic functions.
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On the detection and calculation of some remarkable integrals and related expressions involving classical orthogonal polynomials, part II
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Solving some problems posed in the SIAM-Review I
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Some results in lumped mass finite-element approximation of eigenvalue problems using numerical quadrature formulas
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Computer Algebra with LISP and REDUCE: An introduction to computer aided pure mathematics
(1992) -
REDUCE software for Clifford analysis
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On the numerical solution to a semi-linear hydratational heat transfer problem
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On the numerical solution of nonlinear heat flow through composite media with imperfect contacts
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Semigroup formulation of Rothe's method: Application to parabolic problems
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Solution of nonlinear parabolic problems by linearization
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Continuity estimates for the Radon transform
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A Generalised Christoffel-Darboux formula and reproducing kernels in spaces of polymonogenic and polyharmonic functions
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Residues in Clifford analysis
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An explicit realization of spinor spaces and its applications to Clifford analysis
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On the structure of spinor-valued differential forms
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A finite element model for moisture ab- and desorption in polymeric matrix based composites
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Monogenic differential operators
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A Gram-Schmidt method in Hilbert modules
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Hp-spaces of monogenic functions
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The Relative Position of L2-domains in Clifford Analysis
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Clifford algebra and spinor valued functions: a function theory for the Dirac operator
(1992) 53. -
Orthogonal polynomials associated with the Dirac operator in Euclidean space.
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Relations between orthogonal polynomials in one and several variables
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The relation between the dual and the adjoint Radon transforms
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Monogenic differential calculus
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External finite element approximations of eigenvalue problems
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Smoothing effect and discretization in time to semilinear parabolic equations with nonsmooth data
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On the Rothe-Galerkin method for a class of parabolic integrodifferential problems
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Convergence and error estimates for a finite element method with numerical quadrature for a 2nd order elliptic Eigenvalue problem
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Clifford analysis, biaxial symmetry and pseudoanalytic functions
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Spherical monogenics on the Lie sphere
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Possible Chaotic Pulsations in ZZ-Ceti and Rapidly Oscillating AP Stars Due to Nonlinear Harmonic Mode-coupling
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The Bergman and Szegoe kernels for separately monogenic functions
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On the harmonic and monogenic decomposition of polynomials
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Boundary value problems for the Laplacian in the Euclidean space solved by symbolic computation
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Special functions in Clifford analysis and axial symmetry
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Proceedings on the workshop on Clifford algebra, Clifford analysis and their applications in mathematical physics
Fred Brackx (UGent) , Richard Delanghe (UGent) and Franciscus Sommen (UGent)(1988) 62. -
Numerical techniques for the recovery of an unknown dirichlet data function in semilinear parabolic problems with nonstandard boundary conditions.
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Generalized spectral measures
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On distributional boundary values and the zeros of harmonic functions
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Monogenic functions on surfaces
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Monogenic differential forms and homology theory
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Hypercomplex Fourier and Laplace transforms I
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Clifford analysis
(1982) 76. -
A product and an exponential function in hypercomplex function theory
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Runge's theorem in hypercomplex function theory
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Duality in hypercomplex function theory
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Hypercomplex function theory and Hilbert modules with reproducing kernel
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Minimal quasi-ideals and minimal bi-ideals in compact semigroups
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Singularities of functions with values in a Clifford algebra
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On the analogue of Koebe's theorem for functions with values in a Clifford algebra
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On regular-analytic functions with values in a Clifford algebra
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Half Dirichlet problems for powers of the Dirac operator in the unit vail of RAm (m>=3). Bull. Soc. Math. Belg., 1990,43,3B, pp. 409-429.
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Clifford analysis and integral geometry. Proc. Second Workshop on Clif ford Algebras, Kluwer Acad. Publ., 1992, pp. 293-311.
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Fundamental solutions for operators which are polynomials in the Dirac operator. Proc. Second Workshop on Clifford Alfebras, Kluwer Acad. Publ., 1992.PP. 312-326.
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Clifford algebras, Clifford analysis and applications
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Consistent velocity approximation for density driven flow and transport.
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R. Van Keer et al. (eds), ACOMEN '98 - Advanced Computational Methods in Engineering, Part 2: Contributed Papers, Shaker Publishing BV, Maastricht (1998), pp.603-611. [ISBN 90-423-0055-8].
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Numerical modelling of moisture absorption in polymeric materials. R. Van Keer et al. (eds), ACOMEN '98 - Advanced Computational Methods in Engineering, Part 1: Invited Papers, Shaker Publishing BV, Maastricht (1998), pp. 13-24. [ISBN 90-423-0055-8].
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ACOMEN '98 - Advanced Computational Methods in Engineering, Shaker Publishing BV, Maastricht (1998). [ISBN 90-423-0055-8].
Roger Van Keer (UGent) , B VERHEGGHE, M HOGGE and E NOLDUS -
Moving Boundaries IV: Computational Modelling of Free and Moving Boundary Problems, Proceedings of Moving Boundaries '97, Ghent, 27-29 August 1997, Computational Mechanics Publications, Southampton, U.K. [ISBN 1-85312-465-6].
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Towards a proof of the shear-free fluid conjecture. Proc. Int. Sem. Math. Cosmol., Potsdam (1998), Editors: M. Rainer, H.-J. Schmidt, WSPC Singapore (ISBN 981-02-3627-1), 344-348.