Faculty

Institution

Unit

Venue

Todd Kapitula

Professor

Calvin University

Affiliations

Calvin University

STEM Division

Mathematics

Todd Kapitula is currently serving as a Calvin University Professor at Calvin University.

Honors

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Experiences

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Education

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Todd Kapitula

Calvin University

Professor

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applied mathematics mathematics nonlinear analysis dynamical systems partial differential equations physics spectral theory nonlinear dynamics boundary value problems wave nonlinearity applied physics nonlinear phenomena nonlinear science stability mathematical physics operator theory numerical mathematics quantum mechanics mathematical analysis wave theory bose-einstein condensation nonlinear wave propagation hamiltonian theory periodic travelling wave hamiltonian system quantum chemistry quantum science function spaces mathematical sciences numerical algorithms global networks social simulation integrable systems nonlinear resonance bifurcation theory nonlinear hyperbolic problem orbital stability solitary waves index theory condensed matter vibrational spectroscopy quantum dynamics applied algebra system stability linear operators validated numerics stability analysis numerical stability global analysis information propagation opinion aggregation algebraic methods chaos theory many-body quantum physics disordered quantum system ultracold atoms wave motion wave interference spectral analysis spectroscopic property spectral searching combinatorics on words lattice (order) nonlinear waves periodic waves kdv equations kdv-½ equation unstable eigenvalues korteweg-de vries equation cnoidal waves potential wells photorefractive media eigenvalue problems stability indices instability index theory frontal connections

Notable Scholarly Works

Notable Federal Grants

Collaborators

Chapter 1: Essentials of Linear Algebra. Society for Industrial and Applied Mathematics eBooks (2026)

algebrachapter 1matrix analysislinear algebramatrix theorymathematicsgeneral systemsnumerical linear algebrafunction spacesmatrix methodsapplied mathematicsmathematical sciences

Chapter 2: Scalar First-Order Differential Equations. Society for Industrial and Applied Mathematics eBooks (2026)

difference equationsboundary value problemsnonlinear analysischapter 2nonlinear dynamicsnonlinear equationspartial differential equationsordinary differential equationsrational mechanicdifferential equationscalculus of variationsapplied mathematics

Chapter 3: Systems of First-Order Linear Differential Equations. Society for Industrial and Applied Mathematics eBooks (2026)

nonlinear systemsnonlinear analysisnonlinear equationsmathematicsgeneral systemslinear systemsordinary differential equationsnonlinear dynamicsdifferential equationschapter 3applied mathematicsdynamical systems

Chapter 4: Scalar Higher-Order Linear Differential Equations. Society for Industrial and Applied Mathematics eBooks (2026)

difference equationsnonlinear analysisapplied mathematicsnonlinear equationsmathematicschapter 4numerical mathematicspartial differential equationsdifferential equationscalculus of variationsordinary differential equations

Chapter 5: Discontinuous Forcing and the Laplace Transform. Society for Industrial and Applied Mathematics eBooks (2026)

general systemschapter 5partial differential equationsmathematical analysisdifferential equationsdiscrete integrable system

Chapter 6: Planar Systems of Nonlinear First-Order Differential Equations. Society for Industrial and Applied Mathematics eBooks (2026)

nonlinear systemsnonlinear analysisnonlinear scienceplanar systemsnonlinear equationsmathematicsevolution equationsbifurcation theoryordinary differential equationsnonlinear dynamicsdifferential equationsapplied mathematicsdynamical systems

Front Matter. (2026)

Ordinary Differential Equations and Applied Linear Algebra, Second Edition. Society for Industrial and Applied Mathematics eBooks (2026)

second editionlinear algebraapplied mathematicsmathematicsgeneral systemslinear systemsdifferential equationsordinary differential equations

Dynamics of Two Languages Competing on a Network: A Case Study. arXiv (Cornell University) (2021)

global networksnetwork sciencelanguage migrationlinguisticscase studynetwork theorynetwork evolutionsocial network analysiscommunicationlinguistic diversitycomplex systemslanguagenetwork dynamicsnetwork analysissocial simulationsociolinguistics

Language Competition on Lattices. Studies in Applied Mathematics (2021)

combinatoricslinguisticscombinatorial theorycombinatorics on wordslattice (order)language competitionlattice theory

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Todd Kapitula

Professor

Calvin University

Affiliations

Calvin University

STEM Division

Mathematics

Todd Kapitula is currently serving as a Calvin University Professor at Calvin University.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Todd Kapitula

Calvin University

Professor

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

Chapter 1: Essentials of Linear Algebra. Society for Industrial and Applied Mathematics eBooks (2026)

algebrachapter 1matrix analysislinear algebramatrix theorymathematicsgeneral systemsnumerical linear algebrafunction spacesmatrix methodsapplied mathematicsmathematical sciences

Chapter 2: Scalar First-Order Differential Equations. Society for Industrial and Applied Mathematics eBooks (2026)

Chapter 3: Systems of First-Order Linear Differential Equations. Society for Industrial and Applied Mathematics eBooks (2026)

Chapter 4: Scalar Higher-Order Linear Differential Equations. Society for Industrial and Applied Mathematics eBooks (2026)

Chapter 5: Discontinuous Forcing and the Laplace Transform. Society for Industrial and Applied Mathematics eBooks (2026)

general systemschapter 5partial differential equationsmathematical analysisdifferential equationsdiscrete integrable system

Chapter 6: Planar Systems of Nonlinear First-Order Differential Equations. Society for Industrial and Applied Mathematics eBooks (2026)

Front Matter. (2026)

Ordinary Differential Equations and Applied Linear Algebra, Second Edition. Society for Industrial and Applied Mathematics eBooks (2026)

second editionlinear algebraapplied mathematicsmathematicsgeneral systemslinear systemsdifferential equationsordinary differential equations

Dynamics of Two Languages Competing on a Network: A Case Study. arXiv (Cornell University) (2021)

Language Competition on Lattices. Studies in Applied Mathematics (2021)

combinatoricslinguisticscombinatorial theorycombinatorics on wordslattice (order)language competitionlattice theory

1
2
3
4
10 / page