SelectedWorks - Tjalling Ypma

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Selected Works of Tjalling Ypma

Professor, Department of Mathematics

Research Area: Numerical Analysis

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About Tjalling Ypma

Research Area: Numerical Analysis

Present	Faculty Member, Western Washington University ‐ Western Expert
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Present	Chair, Department of Mathematics, Western Washington University ‐ Department of Mathematics
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Present	Professor, Department of Mathematics, Western Washington University ‐ Department of Mathematics
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Numerical analysis

Western CEDAR

Phone: (360)650-3785
Office: BH 202A

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Articles (25)

Solving Separable Nonlinear Equations Using LU Factorization

ISRN Mathematical Analysis (2013)

Yun-Qiu Shen and Tjalling Ypma

Separable nonlinear equations have the form F(y,z) ≡ A (y)z + b(y) = 0, where the matrix A(y)∈ R m ...

Homeopathic Potentization Based on Nanoscale Domains

The Journal of Alternative and Complementary Medicine (2011)

Tjalling Ypma and George Czerlinski

Objectives: The objectives of this study were to present a simple descriptive and quantitative model of how high potencies in ...

Stabilization of Aqueous Electromeric Nano-Domains

Journal of Computational and Theoretical Nanoscience (2011)

Tjalling Ypma and George Czerlinski

In a recent paper we described the creation of electromeric nano-domains in water, based on the mechano-chemical generation of radicals, ...

Domains of Water Molecules Provide Mechanisms of Potentization in Homeopathy

George Czerlinski and Tjalling Ypma

In homeopathy, high potentization means such high dilution that there is no longer even one molecule of the original active ...

Bifurcation of Solutions of Separable Parameterized Equations into Lines

Electronic Journal of Differential Equations (2010)

Tjalling Ypma and Yun-Qiu Shen

Many applications give rise to separable parameterized equations of the form A(y,µ)z + b(y, µ) = 0, where y ∈ ...

Numerical Bifurcation of Separable Parameterized Equations

Electronic Transactions on Numerical Analysis (2009)

Yun-Qiu Shen and Tjalling Ypma

Many applications give rise to separable parameterized equations, which have the form A(y, µ)z + b(y, µ) = 0, where ...

Single Molecule Action in Cancer Cells

Journal of Bionanoscience (2008)

Tjalling Ypma and George Czerlinski

In 1961, Koch demonstrated successful treatment of cancer and other chronic diseases by injecting low concentrations of a carbonyl compound ...

Mechanisms of Telomerase-dimer Catalysis

Journal of Theoretical Biology (2008)

Tjalling Ypma and George Czerlinski

There is evidence that human telomerase acts as a dimer [Wenz, C., Enenkel, B., Amacker, M., Kelleher, C., Damm, K., ...

Detecting Intermediates in the Telomerase Reaction

Journal of Bionanoscience (2007)

Tjalling Ypma and George Czerlinski

We investigate the feasibility of using rapid mixing and chemical relaxation by temperature jump to detect intermediates and their reaction ...

Solving Rank-deficient Separable Nonlinear Equations

Applied Numerical Mathematics (2007)

Tjalling Ypma and Yun-Qiu Shen

Separable nonlinear equations have the form A(y)z+b(y)=0 where the matrix A(y) and the vector b(y) are continuously differentiable functions of ...

A Unified Approach to Computing Dynamical Equilibria

Canadian Applied Math Quarterly (2006)

Tjalling Ypma and Yun-Qiu Shen

Different types of equilibria of dynamical systems, such as turning points and bifurcation points, are typically computed in different ways. ...

Newton's Method for Singular Nonlinear Equations Using Approximate Left ...

Applied Numerical Mathematics (2005)

Tjalling Ypma and Yun-Qiu Shen

The convergence of Newton's method to a solution x∗ of f(x)=0 may be unsatisfactory if the Jacobian matrix f′(x∗) is ...

Mechanisms of Telomerase Binding to Telomeres

Physiological Chemistry and Physics (2005)

George Czerlinski and Tjalling Ypma

There are essentially two alternative mechanisms for the binding of telomerase to telomeres, assuming that a protective component is initially ...

Review of: Newton Methods for Nonlinear Problems: Affine Invariance and ...

SIAM Review (2005)

In the context of solving nonlinear equations, the term "affine invariance" was introduced to describe the fact that when a ...

Een constructief bewijs van de middelwaardestelling (A constructive proof of ...

Nieuw Archief voor Wiskunde (2004)

Tjalling Ypma and Yun-Qiu Shen

The Effect of the Mixing Process on Reaction Kinetics

International Journal of Chemical Kinetics (2003)

Tjalling Ypma, George Czerlinski and Richard Levin

If the chemical rate constants of the initial reaction steps are large, any observed value of these constants may be ...

Hemoglobin/O2Systems: Using Short-lived Intermediates for Mechanistic Discrimination

Journal of Theoretical Biology (1999)

Tjalling Ypma, George Czerlinksi and Richard Levin

The kinetics of the reaction of hemoglobin with molecular oxygen, in which rapid mixing is followed by a very fast ...

Empirical Versus Asymptotic Rate of Convergence of a Class of ...

Journal of Computational and Applied Mathematics (1997)

Tjalling Ypma and Masao Igarashi

Given alternative methods with identical order of convergence for solving the polynomial equation -(z) = 0, the method with the ...

Short-Lived Intermediates in Aspartate Aminotransferase Systems

Biophysical Journal (1997)

George Czerlinski, Richard Levin and Tjalling Ypma

The kinetics of the reaction of aspartate aminotransferase with erythro-beta-hydroxy-aspartate, in which rapid mixing is followed (upon reaching a suitable ...

Historical Development of the Newton-Raphson Method

SIAM Review (1995)

This expository paper traces the development of the Newton-Raphson method for solving nonlinear algebraic equations through the extant notes, letters, ...

A SAXPY Formulation for Plane Rotations

Numerical Linear Algebra with Applications (1995)

An algorithm for pre- or post-multiplication of a matrix by a plane rotation, using only three vector saxpy operations instead ...

Relationships Between Order and Efficiency of a Class of Methods ...

Journal of Computational and Applied Mathematics (1995)

Tjalling Ypma and Masao Igarashi

The behavior of a class of high order methods for solving polynomial equations is examined. It is shown that the ...

Solving N+m Nonlinear Equations with Only m Nonlinear Variables

Computing (1990)

Tjalling Ypma and Yun-Qiu Shen

We derive a method for solving N+m nonlinear algebraic equations in N+munknowns y≠R m and z≠R N of the form ...

Solving Nonlinear Systems of Equations With Only One Nonlinear Variable

Journal of Computational and Applied Mathematics (1990)

Tjalling Ypma and Yun-Qiu Shen

We describe a method for solving systems of N + 1 nonlinear equations in N + 1 unknowns y \te; ...

Distributed-Multirate Methods for Large Weakly-Coupled Differential Systems

Applied Mathematics and Computation (1989)

Tjalling Ypma, A.R.C. de Almeida and I. M. MacLeod

Distributed - multirate methods combine the advantages of multirate methods with those of distributed computer systems to provide effective methods ...